All the possible rational zeros of h(x) are given as follows:
±1/7, ± 5/7 ± 1, ± 5.
What is the rational zero theorem?The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant by the factors of the leading coefficient.
The parameters for this function are given as follows:
Leading coefficient of 7.Constant term of -5.The factors are given as follows:
Factors of 7: {1,7}.Factors of 5: {1,5}.Then the zeros are given as follows:
±1/7, ± 5/7 ± 1, ± 5.
As:
1/7 is the division of 1 by 7.5/7 is the division of 5 by 7.1 is the division of 1 by 1.5 is the division of 5 by 1.More can be learned about the rational zeros theorem at https://brainly.com/question/28782380
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build a slope intercept equation with given information (1,3); m=3
The Slope intercept form of equation passing through points ( 1 , 3 ) and having slope 3 is y = 3x
What is Slope Intercept Form ?In mathematics, formulating an equation for a line in the form y = mx + b is known as slope intercept form. The m stands for the line's slope, and the b for the y-intercept. When you need to find a point on a line or solve for y given x, you utilize the slope intercept form.
According to the given information
Form of the slope intercept: y = mx + b
It goes through some points ( 1 , 3 )
Slope of the line given m = 3
Put x = 1 and y = 3 and m = 3 in slope intercept form equation
3 = 3( 1 ) + b
b = 0
Hence
Put the value of b = 0 in y = mx + c
y = 3x
The Slope intercept form of equation passing through points ( 1 , 3 ) and having slope 3 is y = 3x
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your goal is to generate a simple math quiz with a number of equations that will be determined by the user. you will prompt the user for an answer to each equation and display whether they answered it correctly or incorrectly. at the end of the math quiz, you will display the number of total equations that they answered correct out of how many were given
The statement of the problem has already made a lot of decisions for us. We are told to use three global variables of type int[]. The variables must be static, and I have chosen to make them private, so the declarations become:
private static int[] firstNumbers; // The first numbers in all ten questions.
private static int[] secondNumbers; // The second numbers in all ten questions.
private static int[] user answers; // The user's answers to the ten questions.
Note that these declarations are not in any subroutine. These statements only create variables, not arrays. We still need to create three arrays of length 10. The arrays can be created using the new operator. This initialization could in fact be combined with the declaration of the variables:
private static int[] firstNumbers = new int[10];
private static int[] secondNumbers = new int[10];
private static int[] userAnswers = new int[10];
Another possibility would be to create the three arrays at the beginning of the main() routine. In fact, I chose to create them in the subroutines where they are first used.
The program has three stages -- create the problems, administer the quiz, and grade the quiz -- and we are told to write a subroutine to do each stage. The main program simply has to call the subroutines:
public static void main(String[] args) {
createQuiz();
administerQuiz();
gradeQuiz();
}
This is an example of using subroutines to break up a large task into several simpler subtasks, so that programming each subtask becomes a separate problem. The subroutines are short and not too hard to write. Looking at administerQuiz() as an example, note that the user's answers have to be stored in the array, the user answers so that they can be used when grading the quiz. I create the array itself before asking any questions and then store the user's responses in the array as they are read by the user. On the other hand, the arrays that hold the numbers that occur in the questions have already been created and filled before administerQuiz() is called. Here's the subroutine:
private static void administerQuiz() {
userAnswers = new int[10];
for (int i = 0; i < 10; i++) {
int questionNum = i + 1;
System.out.printf("Question %2d: What is %2d + %2d ? ",
questionNum, firstNumbers[i], secondNumbers[i]);
userAnswers[i] = TextIO.getlnInt();
}
}
A couple notes about the output: I wanted to number the questions 1, 2, ..., 10, but the elements of the arrays are numbered 0, 1, ..., 9. This means that the question number that I output has to be one more than the array index. Also, all the numbers that occur in my program are either one or two digits. By allowing exactly two digits for each number in the output, I can get everything to line up neatly. Here's the I/O for a sample run of the program:
Welcome to the addition quiz!
Question 1: What is 40 + 14 ? 54
Question 2: What is 18 + 38 ? 46
Question 3: What is 21 + 31 ? 52
Question 4: What is 18 + 36 ? 54
Question 5: What is 43 + 12 ? 55
Question 6: What is 21 + 17 ? 38
Question 7: What is 33 + 25 ? 58
Question 8: What is 39 + 21 ? 70
Question 9: What is 1 + 25 ? 26
Question 10: What is 39 + 26 ? 65
Here are the correct answers:
Question 1: 40 + 14 = 54. You were CORRECT.
Question 2: 18 + 38 = 56. You said 46, which is INCORRECT.
Question 3: 21 + 31 = 52. You were CORRECT.
Question 4: 18 + 36 = 54. You were CORRECT.
Question 5: 43 + 12 = 55. You were CORRECT.
Question 6: 21 + 17 = 38. You were CORRECT.
Question 7: 33 + 25 = 58. You were CORRECT.
Question 8: 39 + 21 = 60. You said 70, which is INCORRECT.
Question 9: 1 + 25 = 26. You were CORRECT.
Question 10: 39 + 26 = 65. You were CORRECT.
You got 8 questions correct.
Your grade on the quiz is 80.
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Let X be the litter size for a certain species of animals. Suppose that X has the following distribution. X0123f(x)0.20.30.40.1 Find the expected value of X.
The expected value of x is 1.4
How to determine the expected value of xFrom the question, we have the following parameters that can be used in our computation:
X0123f(x)0.20.30.40.1
Rewrite properly
So, we have
X 0 1 2 3
f(x) 0.2 0.3 0.4 0.1
The expected value is calculated as
E(x) = Sum of the products of x and f(x)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 0 * 0.2 + 1 * 0.3 + 2 * 0.4 + 3 * 0.1
Evaluate
E(x) = 1.4
Hence, the expected value is 1.4
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your ultra modern store is one story round. your square footage is 31,415. what is your he diameter of your store? area of a circle =
The solution is D = 200 feet
The diameter of the circular store is = 200 feet
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the diameter of the circle be represented as = D
Let the radius of the circular store be = r
D = 2r
Now , the area of the circular store be = A
The value of A = 31,415 feet²
The area of the circular store is given by the formula
Area of the circle = πr²
Substituting the values in the equation , we get
31415 = 3.1415 x r²
Divide by 3.1415 on both sides of the equation , we get
r² = 10000
Taking square roots on both sides of the equation , we get
r = 100 feet
Now , the diameter of the store = 2 x radius of the store
Diameter of the store D = 2 x 100 feet
Therefore , diameter of the store D = 200 feet
Hence , The diameter of the circular store is = 200 feet
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Dan has a jar full of quarters and dimes. He has 21 more dimes than he has quarters. Overall, Dan has 67 coins. How many of each coin does Dan have?
Answer:
Dan has 42 quarters and 25 dimes.
Step-by-step explanation:
emily surveyed all the students at her school to find out if they plan to attend college. the results are shown in the two-way frequency table. emily knows that the student body at her high school is distributed as follows: freshmen: 28% sophomores: 26% juniors: 24% seniors: 22% according to the information emily has gathered, which of the following statements are true? choose all that are correct. responses more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15.
The following statements are true are more than 40% of the students at the school are freshmen or sophomores who plan to attend college.
Given :
emily surveyed all the students at her school to find out if they plan to attend college. the results are shown in the two-way frequency table. emily knows that the student body at her high school is distributed as follows: freshmen: 28 % sophomores: 26 % juniors: 24 % seniors: 22 % .
Freshmen = 0.85
sophomores = 0.80
it is clearly visible that the freshmen or sophomores is greater than the 40 % .
Hence , more than 40% of the students at the school are freshmen or sophomores who plan to attend college.
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Express the following fraction in simplest form, only using positive exponents.
\frac{3a^9r^{-3}}{-4(a^2)^{-1}}
−4(a
2
)
−1
3a
9
r
−3
The simplified expression of the fraction in its simplest form is -12a¹¹r⁻³
How to express the fraction expression in its simplest form?From the question, we have the following parameters that can be used in our computation:
\frac{3a^9r^{-3}}{-4(a^2)^{-1}}
Rewrite the above expression properly
So, we have the following representation
3a⁹r⁻³/(-4a²)⁻¹
Evaluate the expression in bracket
So, we have the following representation
3a⁹r⁻³/(-4a²)⁻¹ = 3a⁹r⁻³ * (-4a²)
Remove the brackets
This gives
3a⁹r⁻³/(-4a²)⁻¹ = 3a⁹r⁻³ * -4a²
Evaluate the products
So, we have the following representation
3a⁹r⁻³/(-4a²)⁻¹ = -12a¹¹r⁻³
Hence, the the fraction expression in its simplest form is -12a¹¹r⁻³
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Find f(x) where f'(x)=4x+7
Answer:
[tex]2x^2+7x+C[/tex]
Step-by-step explanation:
Find the antiderivative of f'(x)=4x+7
[tex]\frac{4x^{1+1} }{1+1}+7x+C\\\frac{4x^2}{2}+7x+C\\ 2x^2+7x+C\\[/tex]
lens $50000 over three months payable weekly at interest rate pf 2.85 per week should the person be late charge $600 per week. since the customer was late 5 times during the life of the loan and took and took an additional 2 weeks to settle calculate thr total interest
The total interest paid on the loan repayable over three months weekly at 2.85% per week is $3,584.96.
How is the total interest determined?The total interest can be computed using an online finance calculator.
The result is then added to the late payment fees. The default payment fee is the product of $600 and 5.
N (# of periods) = 14 weeks (3 x 4 + 2)
I/Y (Interest per year) = 2.85%
PV (Present Value) = $50,000
PMT (Periodic Payment) = $4,000
Results:
Sum of all periodic payments = $56,000.00
Total Interest = $584.96
Late payment charge = $3,000 ($600 x 5)
Total interest and late charge = $3,584.96
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Question Completion:Assume that the borrower repays $4,000 weekly.
12. Find (f-g)(y) if f(y)=5 y²-2y+1 and g(y)=-3y²-y-2
(f-g)(y)=2y²-3y-1
(f-g)(y)=8 y²-y+3
(f-g)(y)=8y²-3y-1
(f-g)(y)=2y²-y+3
The correct option is B (f-g)(y)=8 y²-y+3
What exactly are function and example?
A rule is something that produces one output from one input, such as a function. Alex Federspiel was the source of the image. As an illustration, consider the equation y=x2. For every x input, there is only one y output. The fact that x is the input value leads us to say that y is a function of x.
Which four sorts of functions are there?
The classification of various types of functions can be done using four primary categories. All functions are based on the element: one to one, many to one, onto, one to one, and into.
Given that:
f(y)=5 y²-2y+1
g(y)=-3y²-y-2
(f-g)(y) = 8y²-y+3
Option b is correct
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given class triangle, complete the program to read and set the base and height of triangle1 and triangle2, determine which triangle's area is smaller, and output the smaller triangle's info, making use of triangle's relevant methods.
The whole Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.
The code for determining the area of the triangle is:
class Triangle:
def __init__(A):
A.base = 0
A.height = 0
def set_base(A, user_base):
A.base = user_base
def set_height(A, user_height):
A.height = user_height
def get_area(A):
area = 0.5 * A.base * A.height
return area
def print_info(A):
print('Base: {:.2f}'.format(A.base))
print('Height: {:.2f}'.format(A.height))
print('Area: {:.2f}'.format(A.get_area()))
if __name__ == "__main__":
triangle1 = Triangle()
triangle2 = Triangle()
# TODO: Read and set base and height for triangle1 (use set_base() and set_height())
# TODO: Read and set base and height for triangle2 (use set_base() and set_height())
# TODO: Determine smaller triangle (use get_area())
print('Triangle with smaller area:')
# TODO: Output smaller triangle's info (use print_info())
Traingle is a type of polygon, the name itself days, tri means three, angles.
So, in a triangle, there will be three vertices, three sides and three angles.
The vertex of a triangle is a point where any two of the sides of a triangle meet.
The altitude of a triangle is the perpendicular length of the triangle, it is also called as height of the triangle. It is drawn perpendicular on the base of the triangle to the apex.
Base of a triangle is that particular side of the triangle on which an altitude is drawn.
For writing the code, we will put the input like only values, like 6.0, 7.0, 11.0 etc.
The first value will denote base of first triangle, second will denote height of first triangle and third will denote base of second triangle and fourth value denotes height of second triangle/
Let us assume that,
Triangle with smaller area:
Base: 4.00
Height: 5.00 = [4.00*5.00]2 = 10.00
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I’m stuck on this question and would greatly appreciate it if someone could help!
Reason:
The horizontal width spans from 8 to 20. This is a distance of 20-8 = 12 units.
The height is some unknown, which I'll call x. We multiply the width and height to get the area. This area must be 1 to represent 100%. You can think of it like a pie chart. This applies to any probability distribution.
area = base*height
1 = 12*x
x = 1/12
Therefore, the height of this rectangle must be 1/12 so that the area of this rectangle is 1.
The area of ground A is given by 12x^2y sq. units and the area of ground B is given by 6xy^2sq Units
where x>0 and y> 0. Tiles of the same size need to be installed on both the grounds. What should
be the maximum tile area so that it can be used for both the grounds?
The maximum area of the tile to contain both grounds is 12x²y²
How to determine the maximum area of the tile?From the question, we have the following parameters that can be used in our computation:
Area of ground A = 12x^2y sq. units
Area of ground B = 6xy^2sq units
Rewrite these areas properly
So, we have the following representation
Area of ground A = 12x²y sq. units
Area of ground B = 6xy² sq units
Express the areas as the products of their prime factors
This gives
Area of ground A = 2 * 2 * 3 * x * x * y
Area of ground B = 2 * 3 * x * y * y
From the above products, we have
Least common multiple = 2 * 2 * 3 * x * x *y * y
Evaluate the products
Least common multiple = 12x²y²
This represents the greatest area
Hence, the greatest area is 12x²y²
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suppose a die is tossed 1000 times, and the following frequencies are obtained for the number of pips up when the die comes to a rest. x1 x2 x3 x4 x5 x6 163 178 142 150 183 184 using the chi-squared goodness of fit test, assess whether we have evidence that this is not a symmetrical die. record the standardized residuals.
We have evidence that this is not a symmetrical die, the standardized residuals is 9.5689
The die is tossed 1000 times
Given the observed value
x1 = 163
x2=178
x3=142
x4= 150
x5 = 183
x6 = 184
The mean = 163 + 178 + 142 + 150 + 183 + 184 / 6
= 1000 /6
= 166.67
Next we have to find the value of (observed value - Expected value)^2 / Expected value
x1 = (163-166.67)^2 / 166.67 = 0.081
x2 = (178-166.67)^2 / 166.67 = 0.7659
x3 = (142-166.67)^2 / 166.67 = 3.6598
x4 = (160 -166.67)^2 / 166.67 = 1.673
x5 = (183 - 166.67)^2 / 166.67 = 1.5938
x6 = (184-166.67)^2 / 166.67 = 1.7954
The standardized residuals = 0.081 + 0.7659 + 3.6598 +1.673 +1.5938 +1.7954 = 9.5689
Therefore, this is not a symmetrical die
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Consider the following information taken from the cash account. Assume cash payments were 80% of collections. 115375 How much was the beginning balance of the cash account?
The beginning balance of the cash account = $23075
What is Cash Account?A cash account is a type of brokerage account that requires that all transactions be settled in full on the settlement date using available cash.
In order to ensure that there is sufficient cash on hand to fulfill the buy order when buying stocks in a cash account, the investor must either make a deposit of enough money to cover the transaction or sell other securities on the same trading day.
Contrary to margin accounts, cash accounts do not allow short selling or margin trading.
According to the given question, cash payments were 80% of collections. So, The cash payment or Disbursement are as follows:-
Disbursements = 80% of collections
Disbursements = $115,375 * 0.8
Disbursements = $92,300
The opening balance is computed by using the following formula:-
Opening Balance = Collections - Disbursements
= $115,375 - $92,300
= $23075
Therefore,
The beginning balance of the cash account = $23075
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Allie receives a $20 gift card for the local coffee shop, where she only buys lattes and muffins. If the price of a latte is $4 and the price of a muffin is $2, then we can conclude that Julia:
If the price of a latte is $4 and the price of a muffin is $2, then we can conclude that Julia can buy 5 lattes or 10 muffins ($20) if she chooses to buy only one of the two goods.
How to illustrate the price?A price is the sum of money that one party pays or receives in exchange for another's goods or services. The cost of production may go by another name in certain circumstances. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price."
In this case, Allie receives a $20 gift card for the local coffee shop, where she only buys lattes and muffins. Here, we can conclude that Julia can buy 5 lattes. This will be 5 × $4 = $20 or 10 muffins which will be:
= 10 × $2
= $20
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PLEASE HELP WILL GIVE BRAINLIEST IF HELPFUL.
log base (2) of (x^2 +5) = (3)
Answer:
Step-by-step explanation:
log base (2) of (x^2 +5) = (3) can also be described as 2^3 = x^2 + 5
simplify: 8 = x^2+5
Subtract 5 from each side: 3 = x^2
square root: x = sqrt(3)
Answer:
Step-by-step explanation:
[tex]log(2)^{(x^2+5)}=3\\[/tex]
[tex]2^3 =x^2+5\\8-5=x^2\\x^2=3\\x=\pm\sqrt{3}[/tex]
An alternative sampling method would be to select a stratified random sample of eight apartments, where the
strata are apartments with children and apartments with no children. A stratified random sample of size eight
might include two randomly selected apartments with children and six randomly selected apartments with no
children. In the context of this situation, give one statistical advantage of selecting such a stratified sample as
opposed to a cluster sample of eight apartments using the floors as clusters.The amount of carpet wear could be different for apartments with and without children.
2. The stratified random sample ensures that some apartments with children will be selected.
(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
(a) Given the building has 9 floors which are taken as N=9 clusters.
Each floor has 4 apartments.
It is to select 8 apartments by cluster sampling method.
That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.
By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.
Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.
In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
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The right question is given beow:
The cost of three notebooks and four pencils is
$8.50. The cost of five notebooks and eight
pencils is $14.50. Determine the cost of one
notebook and the cost of one pencil.
Step-by-step explanation:
[tex]1. \: \: 3x +4 y = 8.50[/tex]
[tex]2. \: \: 5x + 8y = 14.50[/tex]
times equation 1 by 2
[tex]3. \: \: 6x + 8y = 17[/tex]
3-2 eliminates y variable
[tex]x =2.50[/tex]
[tex]y = 0.25[/tex]
determine whether the lines are parallel, perpendicular, or neither L1: y= -2/3x-3, L2 y= -2/3x+6
The two linear equations have the same slope, -2/3, and different y-intercepts, thus, the lines are parallel.
Are the lines parallel, perpendicular or neither?A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
Two linear equations are parallel if both lines have the same slope and different y-intercepts.
And two lines are perpendicular if the product between the slopes is equal to -1.
In this case, we have the two linear equations:
y= -(2/3)*x - 3
y= -(2/3)*x + 6
So you can see that both linear equations have the same slope -2/3 and different y-intercepts, thus, the lines are parallel.
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City A is located in a valley 15 meters below sea level, and City B is located *
43 meters above sea level. What is the difference, in meters, between the
elevations of these two cities? Remember, difference means subtract (and
you will need to SCO).
Answer:
To find the difference between the elevations of City A and City B, we need to subtract the elevation of City A from the elevation of City B. Since City A is located 15 meters below sea level, and City B is located 43 meters above sea level, the difference between their elevations is $43 - (-15) = 43 + 15 = 58 meters. Therefore, the difference between the elevations of City A and City B is 58 meters.
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2. (Let x, y, and z be the dimensions of the rectangular box.)(x, y, z) =
The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
Given that:
Total surface area of the rectangular box or cuboid = 100 cm²
A rectangular box with largest volume is a cube.
The total surface area of a cube = 6 times square of one edge length.
Let the edge length = given dimensions; x, y, z
So,
x = y = z
6x^2 = 100
x^2 = 100 / 6
x = √ 100 / 6
x = 10 / √ 6 cm
x = 2.449 cm
Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
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Use the Well Ordering Principle to prove that there is no solution over the positive integers to the equation: 4a3 + 2b3-c3. 2Proofs by other methods such as induction or by appeal to known formulas for similar sums will not receive full credit.
By using the well ordering principle we can easily prove that the equation
4a³ + 2b³ = c³ does not have any solution for positive integers.
Let (a, b, c) be a positive integer solution with c the smallest possible.
Then c³ is even as the sum of a factor of 4 and factor of 2 is always even .
hence c itself is even.
Let us consider c = 2c₀ ;
4a³ + 2b³ = (2c₀)³
or, 4a³ + 2b³ = 8c₀³
then 2a³+b³ = 4c₀³
This time, we see that b must be even. using the same principle as above .
Put b = 2b₀ ;
2a³ + 8b₀³ = 4c₀³
then a³ + 4b₀³ = 2c₀³
thus a = 2a₀ must be even,
and 4a₀³+2b₀³=c₀³,
i.e. (a₀, b₀, c₀) is another solution. But c₀ = c/2<c.
And we have taken c to be the smallest of the solutions.
hence we get a contradiction.
Therefore our assumption is not valid.
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find the complex number
A.-6i
B.2-6i
C.12+6i
D.72i
E.18i
Find the x and y intercepts of the line: 3x - 4y = -24
Answer:
x- intercept = - 8 , y- intercept = 6
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
3x - 4(0) = - 24
3x = - 24 ( divide both sides by 3 )
x = - 8 ← x- intercept
to find the y- intercept let x = 0 in the equation and solve for y
3(0) - 4y = - 24
- 4y = - 24 ( divide both sides by - 4 )
y = 6 ← y- intercept
What values of x make the two expressions below equal?
(x-1)(x-6)_
4(x-1)
x-6
4
A. All real numbers except 1
B. All real numbers except 6
C. All real numbers
D. All real numbers except 1 and 6
All the real numbers except 1 make the two expressions equal. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expressions are given below.
[(x - 1)(x - 6)] / [4(x - 1)] and (x - 6) / 4
Simplify the expression [(x - 1)(x - 6)] / [4(x - 1)], then we have
⇒ [(x - 1)(x - 6)] / [4(x - 1)]
⇒ (x - 6) / 4
But at x = 1, the expression [(x - 1)(x - 6)] / [4(x - 1)] is not defined.
All the real numbers except 1 make the two expressions equal. Then the correct option is A.
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1
The zeros of a parabola are -4 and 3, and it passes through the point (1, - 40).
What inequality represents all ordered pairs outside the parabola?
Drag a number or symbol into each box to correctly complete the inequality.
Answer:
Step-by-step explanation:
so a(x+4)(x-3)is total form after putting the point you will have 4(x+4)(x-3)=y
so answer is 4x^2+4x-48=y
one seventh plus nine fourteenths equals blank
Answer: 11/14 (eleven over fourteen)
Step-by-step explanation:
A _______ is a set of input data in a relationship
The complete answer: A domain is a set of input data in a relationship.
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
An input value and an output value are matched in a relation.
A relation is a function where each input value yields one and only one output value.
Graphs, tables, and ordered pairs can all be used to represent functions. The domain is the set of input values,
while the range is the set of output values.
The domain of a function or relation is the set of all possible independent values that it can have.
Therefore, a domain is a set of input data in a relationship.
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Given a binomial experiment with the probability of success on a single trial p = 0.80, find the probability that the first success occurs on trial number n = 3. (Round your answer to three decimal places.)
The probability that the first success occurs on trial number n = 3 is 0.032
How to find the probability that the first success occurs on trial number n = 3?Given:
probability of success on a single trial p = 0.80
trial number, n = 3
Recall the formula for the Geometric Probability Distribution
P(n) = p(1 - p)ⁿ⁻¹
where n is the number of the binomial trial on which the first success occurs and p is the probability of success on each trial
P(n) = p(1 - p)ⁿ⁻¹
P(3) = 0.8(1-0.8)³⁻¹
P(3) = 0.8(0.2)²
P(3) = 0.032
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