Answer:
y=3x(x+1)(x-2)=3x^3-3x^2-6x
Step-by-step explanation:
The polynomial function can be written in the form:
y=a(x-x1)(x-x2)(x-x3)
where
x1=-1
x2=0
x3=2
Therefore
y=a(x+1)(x-0)(x-2)=a(x^2+x)(x-2)=a(x^3-x^2-2x)
To find the value for "a" we use the info about the line passing in (1,-6):
-6=a(1-1-2)
a=3
y=3x(x+1)(x-2)=3x^3-3x^2-6x
Answer:
f(x) = 3x3 - 3x2 - 6x
Good luck! :D
Step-by-step explanation:
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
-x/8-11=12
/ means fraction
Answer:
Step-by-step explanation:
-x/8=12+11=23
-x=23*8=184
x=-184
x=-184Answer:
Step-by-step explanation:
P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)
Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
40 pointsanad brainliest for this, it's really important!
Step-by-step explanation:
C = 6 n + 4,500
the set up cost is represented by the initial value of the function, which is $4,500.
the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.
Find the missing side of the triangle using the Pythagorean Theorem.
Answer: a^2 + b^2 = c^2
c^2 - a^2 = b^2 \/---
b^2
Step-by-step explanation: once completed you have ur answer
Answer:
[tex]\boxed {\boxed {\sf 18 \ yards}}[/tex]
Step-by-step explanation:
This triangle is a right triangle. We know this because of the small square in the corner representing a 90 degree angle. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this formula a and b are the legs of the triangle and c is the hypotenuse.
In this triangle, the legs are 24 and a, because these sides form the right angle. 30 is the hypotenuse because it is opposite the right angle.
a=a b= 24 c= 30Substitute the values into the formula.
[tex]a^2+(24)^2=(30)^2[/tex]
Solve the exponents.
(24)²= 24*24=576 (30)^2= 30*30=900[tex]a^2+ 576=900[/tex]
We are solving for a, the missing side of the triangle. We must isolate the variable. 576 is being added. The inverse of addition is subtraction, Subtract 576 from both sides of the equation.
[tex]a^2+576-576=900-576\\a^2=900-576\\a^2=324[/tex]
a is being squared. The inverse of a square is a square root. Take the square root of both sides.
[tex]\sqrt{a^2}=\sqrt{324}\\a=\sqrt{324}\\a=18[/tex]
The missing side of the triangle is 18 yards.
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
find the missing side of each triangle. i need help!!!
Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is √161 yd
Hope this helps! :)
If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions?
y4+5y2+9 factorise please help me
[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]
Answer:
Solution given;
[tex] y^{4}+5y²+9[/tex]
keeping [tex]y^{4} and 9 together [/tex]
[tex]y^{4}+9+5y²[/tex]
[tex](y²)²+3²+5y²[/tex].....[I]
we have
a²+b²=(a+b)²-2ab
or
a²+b²=(a-b)²+2ab
same like that
[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]
remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²
should make the term perfect square
while subtracting it makes perfect square
so
we take
(y²)²+3²=(y²+3)²-6y²
again
substituting value of
(y²)²+3² in equation 1 and it becomes
(y²+3)²-6y²+5y²
solve like terms
(y²+3)²-y²
again
we have
a²-b²=(a+b)(a-b)
by using this.
(y²+3+y)(y²+3-y)
rearrange it
(y²+y+3)(y²-y+3) is a required factorisation form.
convert 1100111 into decimal numbers
Answer:
103 is my answer.
Step-by-step explanation:
hope it helps
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
Can someone help me with this math homework please!
Answer:
#1: (D) all real numbers greater than or equal to -3
#2: (D) It is not a function because there are two different y-values for a single x-value
#3: (A) all real numbers
#4: (B, C)
#5: (B) {y | y = -9, -3, 0, 5, 7}
Step-by-step explanation:
Question 1:
The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).
Question 2:
By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.
If you noticed, there are two points: (4, 4) & (4, -2)
There are two different y-values, 4 & -2, for one x-value, 4.
Question 3:
The graph extends infinitely both directions, so it's all real numbers.
Question 4:
The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)
Question 5:
The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.
Hope it helps (●'◡'●)
AD = 6, DC = 8, find DB
Answer:
10
Step-by-step explanation:
use a^2+b^2=c^2
6^2+8^2=c^2
100=c^2
sqrt it and you get 10 for AC and AC=DB
Answer:
according to Pythagoras theorem, c²=a²+b²
|AC|²=|AD|²+|DC|²
|AC|²=6²+8²
|AC|²=36+64
|AC|²=100
√|AC|²=√100
|AC|=10
charlie drove 208 miles in 4 hours at a constant speed He continues at that speed give the equation that shows the relationships between driving hours and mies driven
Answer:
M = 52* H
"miles equals 52 times hours driven"
Step-by-step explanation:
helppp plzzz right nowwwwwwww
Answer:
They are parallel so also -4/3
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement
Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
Find the length of JD
A. 23
B. 19
C. 46
D. 30
The length of JD is 19
What is length of a line?The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.
Given
JD = JP-DP = 57-38 =19
To learn more about line refer to:
https://brainly.com/question/22263461
#SPJ2
A palindrome is a number that is identical when written both forwards and backwards. For example, 181, 25852, and 3333 are all palindromes. How many palindromes between 100 and 1000 are divisible by 3?
Answer:
30 palindromes!!!!!!!
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
zero cannot be the first digit of the palindromes. There are nine other numbers that can be.
9 * 10
The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.
That's not the question, but it does put a limit on how many there can be.
Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.
I think 111 is the smallest.
Now what about the largest? That would be 999.
So what is the next number after 111? Wouldn't that be 141?
The difference between 111 and 141 is 30
It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get
303
333
363
393
All the other numbers only have 3 entries for example, 1 gives you
111
141
171
So making a table we get
First digit Number of palindromes divisible by 3
1 3
2 3
3 4
4 3
5 3
6 4
7 3
8 3
9 4
18 12
Total
the width of a newspaper is 13 3/4 inches. The left margin is 7/16 inch and the right margin is 1/2 inch. what is the width of the written page inside the margin?
Answer:
biggafigure a
mnn
Step-by-step explanation:
HELP ASAP 10 POINTS AND BRAINLIST
Step-by-step explanation:
hope it helps you...........
What is the domain of the function on the graph?
•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0
Answer:
all real numbers
Step-by-step explanation:
got it right
Answer:
A
Step-by-step explanation:
it is all real numbers
brainiest please
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
if P = (1,6) find r90° (P)
Answer:
(-6,1) got you homie
Step-by-step explanation:
The difference between the set of non-negative real numbers and the set of positive real numbers is:
A.an infinite set B.a null set C.a singleton set D.Null set
Answer:
C; A singleton set
Step-by-step explanation:
Mathematically, when a number is non-negative; it is either positive or zero
Now, this is because 0 identifies as neither a positive or a negative number
hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0
What this mean is that we are having a set with a single number result
So we have our answer as {0}
Which is a singleton set
Please someone help I can not get past this question
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
91.55
Which equation has the solutions -
5:27
3
1?
I
3x2 - 5x + 7 = 0
03x2 - 5x – 1 = 0
3x2 - 10x + 6 = 0
O 3x2 _ 10x + 1 = 0
Answer:
the answer is 3x2-10x+6=0
What is the volume of the cone to the nearest whole number?
Answer:
the volume of the cone is 60
Step-by-step explanation:
12×5=60
what is the mid point of AB?
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G