Step-by-step explanation:
Did you mean
h(x) = x² + 11
g(x) = √(x - 2)
= (hog)(x)
= h( g(x) )
= (√(x - 2) )² + 11
= x - 2 + 11
= x + 9
(hog)(x) = x + 9
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 3;
zeros: 2, 5 − i
The remaining zero of polynomial is (5 + i).
And, the linear factorization of the polynomial are;
(x - 2) (x - (5-i)) (x - (5 + i)).
What is Zeros of polynomial?
Zeroes of a polynomial are the points where the polynomial becomes zero.
Given that;
Zeroes of the polynomial are 2, 5 - i
Now, If one zero of polynomial is complex then another zero of the polynomial is its conjugate.
So, One root of polynomial = 5 - i
Then, The third zero of the polynomial = 5 + i
Thus, The polynomial are find as;
(x - 2) (x - (5-i)) (x - (5 + i)) = 0
So, The remaining zero of polynomial is (5 + i).
And, the linear factorization of the polynomial are;
(x - 2) (x - (5-i)) (x - (5 + i)).
Learn more about the complex roots visit:
https://brainly.com/question/14788607
#SPJ1
does anyones know these ?
No I don't know your thing
question 8, thanks guys
Answer:
B.
Step-by-step explanation:
Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.
Reagan saves $124. 00 in 4 weeks. At this rate, how much money will Reagan save in 16 weeks?.
Answer:
496
Step-by-step explanation:
Multiply the 124 by 4 since there are 4 sets of 4 weeks in 16 weeks.
It is a six-digit whole number.
It has only three different digits, each used twice.
The sum of its different digits is 24.
It is divisible by 4.
It is greater than 800,000.
Its ten-thousands digit is different from its hundred-
thousands digit.
Its thousands digit is the same as its ten-thousands
digit.
Its tens digit is the same as its ones digit.
Its tens digit is different from its hundreds digit.
Its hundreds digit is 9.
Help ASAP!!!!!
kabanayan ako to si nstog
Help me please 影分身の術 Please 影分身の術
Answer:
I don't know I'm a dog arf arf
Which equation has the steepest graph
A) y = 8x - 1
B) y = -10x - 4
C) y = 7x + 3
D) y = -2x + 6
bag contains 5 blue, 12 black, 6 red, and 7 green marbles. If one marble is chosen at random the probablity that it is NOT blue is
A)1/25
B)1/6
C)2/5
D)5/6
Answer:
D. 5/6
Step-by-step explanation:
There are 30 marbles
If you add the black, red, and green marbles together, you get 25
25/30 is equivalent to 5/6
19.6 divided by 9 pls no long numbers just do it simply
A model rocket is launched from the top of a building. The height (in meters) of the rocket above the grown is given by h(t)=-6t^2+30t+10 , where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height?
Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=[tex]-6t^2+30t+10[/tex]
h'(t)=[tex]-12t+30[/tex]
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=[tex]\frac{5}{2}[/tex]
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=[tex]-6(2.5)^2+30(2.5)+10[/tex]
=-37.5+75+10
=47.5
A farmer has 150 pounds of apples. The apples will be put into bags. How many bags can be filled if 2.5 pounds of apples are put into each bag?
A) 6
B) 60
C) 75
D) 375
Answer:
60 bags can be filled. ( 150 pounds / 2.5 pounds per bag = 60 bags)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
150 pounds divid to 2.5pound
£6000 is to be shared among David, Daniel and Dennis, Daniel is to get one and a half times as much as David, while Denis is to get three and a half times as much as David. Determine (i) the ratio in which the money is to be shared. (ii) the amount of money each will get.?
Answer:
(i) David: Daniel: Dennis= 2: 3: 7
(ii) David, Daniel and Dennis will get £1000, £1500 and £3500 respectively.
Step-by-step explanation:
(i) Let the amount of money obtained by David, Daniel and Dennis be x, y and z pounds respectively.
x +y +z= 6000 -----(1)
y= 1.5x -----(2)
z= 3.5x -----(3)
Let's write the amount of money each gets in terms of x.
David --- x
Daniel --- 1.5x
Dennis --- 3.5x
In ratio, David: Daniel: Dennis
= 1: 1.5: 3.5
= 2: 3: 7
This is obtained by multiplying 2 throughout the ratio as ratio is its simplest form is in whole numbers and does not have decimals.
_______
(ii) Now that we know how the money is shared in terms of ratio, we can easily determine how much each of them receives.
Total amount of money= £6000
Total number of units
= 2u +3u +7u
= 12u
Thus, 12 units represents £6000.
12u ----- £6000
1u ----- £6000 ÷12= £500
Amount of money David will receive
= 2u
= 2(£500)
= £1000
Amount of money Daniel will receive
= 3u
= 3(£500)
= £1500
Amount of money Dennis will receive
= 7u
= 7(£500)
= £3500
Extra notes:
• Units are represented by the letter 'u' in the working. They can also be called parts and their value is in relation to the total amount. Thus if David gets 2 units of the total money, and the total amount is 12 units, he receives 2/12 or ⅙ of the total sum of money.
The Pines Golf Course is offering free Ice cream cones to golfers who hit their tee shot on the green at hole 7! The following bar graph summarizes the tee shots from this morning.
Based on the data, what is a reasonable estimate of the probability that the next tee shot ends up on the green?
A: 14%
B: 17%
C: 18%
D: 21%
Explanation:
There are 4 shots that land on the green in this sample size. The height of the bar tells us this directly.
Add up the heights of each bar to get 4+5+7+3+5 = 24 which is the total number of shots. The probability of landing on the green is 4/24 = 1/6 = 0.1667 = 16.67% approximately. This rounds to 17%
A large bag contains 7/8 pound of nails. How many 1/4-pound bags can be filled with this amount of nails?
please i need it now
Answer:
Step-by-step explanation:
7/8 divided by 1/4
7/8 x 4/1 =7/2 = 3/1/2
Three and a half bags
What is 6 1/2 + 9 3/8
Answer: 15 7/8
Step-by-step explanation:
Add the whole numbers first 6+9 to getting 15
Now find the lowest common denominator for both the fractions. In this case it is 8.
3/8 would stay the same however 1/2 would become 4/8. 4/8 + 3/8 is 7/8.
15 add 7/8 is 15 7/8
please help MATH EXPERTS ASAP 7th GRADE MATH
Answer: 7013 m^2
Step-by-step explanation:
trig review please help me
Answer:
√73 mi√134 ft.......................Can an octagon have interior angles that measure 100 degrees, 156 degrees, 125 degrees, 90 degrees, 175 degrees, 160 degrees, and 140 degrees? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.
Answer:
yes because the 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.
Step-by-step explanation:
hope this helps
A bottle contain 225 coins.
Answer:
and?
Step-by-step explanation:
Joe buys his son a Gatorade each time his son plays hockey. The Gatorade cost $2. His song usually plays 3 times a week for half a year. How much money can joe save if he brings water from home for his son instead of buying Gatorade?
Answer:$156
Step-by-step explanation: One year has 72 weeks in it. That means there's 26 weeks in half a year. If he gets a Gatorade three time each week that's 78 Gatorades.if each Gatorade costs two dollars then the dad would spend 156 dollars every half year.
Please help me ): asap
Seven times the sum of a number and 1 is 28.
What is the number?
Enter your answer in the box.
The number is
The number in the question that gives 28 after the operations is; 3
We are told that the product of seven and the sum of a number and 1 is 28.
Let the number be x. Thus;
7(x + 1) = 28
Use division property of equality to divide both sides by 7.
7(x + 1)/7 = 28/7
(x + 1) = 4
Use subtraction property of equality to subtract 1 from both sides to get;
x + 1 - 1 = 4 - 1
x = 3
Therefore, in conclusion the number is 3.
Read more at; https://brainly.com/question/10465740
Answer:
3
Step-by-step explanation:
k12
Ab-2/3-67*4 if a=23 and b=3
what upAnswer:
Step-by-step explanation:
Write a linear inequality for each graph (back page)
Answer:
I can't read that...........
What number cannot be divided into 9 groups without a remainder?
Answer:
The answer is B) 432
Step-by-step explanation:
The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.
I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.
Hence, B) 432 is the correct option.
Check screenshot of my work below.
(I forgot to include 48 on top of the division I just did. Don't mind that too much..)
A) 326
[tex] \frac{326}{9} [/tex]
[tex] = 36.2222222222 [/tex]
B) 432
[tex] \frac{432}{9} [/tex]
[tex] = 48[/tex]
C) 531
[tex] \frac{531}{9} [/tex]
[tex] = 59[/tex]
D) 630
[tex] \frac{630}{9} [/tex]
[tex] = 70[/tex]
so, the correct answer is option A.
Find the slope plssssss
Answer:
m=2
Step-by-step explanation:
you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be
[tex]\frac{4-2}{3-2} = \frac{2}{1} = 2[/tex]
the range of two numbers is 10 and their median 14.what are the two numbers
Answer: 9,19
Range: The difference between the largest and smallest data in a data set.
nineteen (19) - nine (9) = 10 (which is equivelent to the given range 10)
Median: The value in a set that is most close to the middle of a range.
nine (9) and nineteen (19) the median would be 14
also, I needed more wording so it doesn't get taken down :(
Given the two points (2, 3) and (-2, 4); Create the linear equation in Slope-Intercept Form.
(show work and I will not only mark brainliest, but I will rate 5 stars, follow you, and thank you on your profile.)
Step-by-step explanation:
Use the equation
[tex] \frac{x - x1}{y - y1} = m[/tex]
So plug in the numbers
[tex] \frac{ 2 + 2}{3 - 4} = \frac{4}{ - 1} = - 4[/tex]
So if y=mx+b and there is no intercept the equation would be
[tex]y = - 4x[/tex]
FOR A BRAINLIST:)
Question 2 options:
Identify the solution to the system of linear equations graphed below:
(4, -3)
(-4, 3)
(4, 3)
(-4, -3)
Answer:
(-4,-3)
Step-by-step explanation:
The point at which the two lines intersect each other will be the solution of the given system of equations . From the graph it cuts at ( -4,-3)
Answer:
( - 4, - 3 )
Step-by-step explanation:
The point is located in the III quadrant.
The nature of points in III quadrant is ( - x, - y )
So,
( - 4, - 3 ) is the correct answer.
could someone explian to me how to do these two? i’m not sure if i’m doing it right plz help
Step-by-step explanation:
Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.
The slope-intercept form is: y = mx + b, where:
m = slope (which tells you the steepness of the line).
b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.
The standard form of linear equations is: Ax + By = C, where:
A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms). A and B ≠ 0, and A must be a positive integer.
Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.
7. y = -6x - 4In this equation, the slope (m) = -6, and the y-intercept (b) = -4. As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).
You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.
8. 3x - 4y = 12This equation is in standard form, Ax + By = C. It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.
In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:
3x - 4y = 12
3x - 3x - 4y = - 3x + 12
-4y = -3x + 12
Next, divide both sides by -4 to isolate y:
[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.
Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).
Attached are the graphed equations.
