Rewrite the function by completing the square.
h(x)=4x^2-36x+81

Answers

Answer 1

Answer:

[tex]4(x-4.5)^2+60.75[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2-36x+81\\\\h(x)=4(x^2-9x+20.25)+60.75\\\\h(x)=4(x-4.5)^2+60.75[/tex]

Hope this helps!

Answer 2

Answer:

Step-by-step explanation:

Use the formula  

b/2^2

Answer: 4( x- 9/2)^2 + 0


Related Questions

Solve the system of equations using substitution.
y = 5x + 5 x = - 3

A.(- 20, - 3)
B.(- 10, - 3)
C.(- 3, - 10)
D.(- 3, - 20)

Answers

Answer:

C. (-3, -10)

Step-by-step explanation:

First label the 2 equations.

y=5x +5 -----(1)

x= -3 -----(2)

subst. (2) into (1):

y= 5(-3) +5

y= -15 +5 (expand)

y= -10 (simplify)

Thus, the answer is (-3, -10).

Answer:

THe answer is C

Step-by-step explanation:A

As seen by the last answer when we substitute the variable we can get (-3,-10)

x=-3------(2)

y=5x+5-----(1)

y=5(-3)+5

y=-15+5

y=-10

so (-3,-10) is the correct answer

Please solve ASAP!!!!!!!!!

Answers

Answer:

14. A

15. C

16. B

17. B

Step-by-step explanation:

Answer:

C; D; B; B

Step-by-step explanation:

14) 1/((1/4) + (1/7)) = 1/(11/28) = 28/11 (C)

15) 1/((1/x) + (1/3x)) = 3--> (1/x) + (1/3x) = 1/3 --> 4/3x = 1/3 --> x = 4 (D)

16) 56 - 28 = 28 --> 28/(4*2) = 3.5 hours --> 56/3.5 = 16mph (when adding the stream's speed)--> 16mph - 4mph = 12mph (B)

17) 540 - 480 = 60 --> 60/(9*2) = 10/3 hours --> 540/(10/3) = 162 (when adding the current) --> 162mph - 9mph = 153mph (B)

The measure of one acute angle in this right triangle is 30°. What is the measure of the
other acute angle?
300
OA) 30°
OB) 60°
OC) 70°
OD) 90°

Answers

Answer:

60°

..................

Answer:

Dear mate your answer is 60

The prism shown has a volume of 798 cm3.
a l of 9.5 and a width of 8


What is the height of the prism?
8.6 cm
10.5 cm
17.5 cm
45.6 cm

Answers

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

Answer:

The answer is 10.5

Step-by-step explanation:

I got it correct on edge 2021

(Please don’t skip!)9th grade math.| a circle on a coordinate plane has a diameter with endpoints at (8,10) and (-2,0). determine the coordinate point for the center of the circle.

Answers

Answer:

(3,5)

Step-by-step explanation:

Porque entre 10 e 0 e 8 e -2, existe um espaço 10, então para saber como coordenadas basta adicionar 5 a -2 e 0, e assim fica 3 e 5

Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale.

am nevoie urgent de raspuns .

Answers

Answer:

One kilogram of oranges cost $3.

Step-by-step explanation:

The problem states

1 kilogram of bananas costs as much as 2 kilograms of oranges. ([tex]1 \ kg \ bananas = 2 \ kg \ oranges[/tex])30 kilograms of oranges plues 45 kilograms of bananas cost $360.

Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by

[tex]x=2y[/tex]

Also, we know by given

[tex]45x+30y=360[/tex]

Replacing the first equation into the second one, we have

[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]

Then, we find the other value

[tex]x=2(3)=6[/tex]

Therefore, one kilogram of oranges cost $3.

Here is a list of numbers:
47, 22, 22, 13, 77, 8, 18 ,100 ,70 ,4
Calculate the range.

Answers

Answer:

The range is 96.

Step-by-step explanation:

The definition of range is "The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set." So subtract the highest value from the smallest value,  and you get 96. pls mark brainliest.

Hope this helps.

Hello !

first, we need to find the smallest and the biggest number on the list:

4, 8, 13, 18, 22, 22, 47, 70, 77, 100

so it's 4 and 100

we substract the smallest from the biggest number :

100 - 4 = 96

96 is the range

× × i hope i helped you ! × ×

plz answer will get brainliest

Answers

Answer:

4

Step-by-step explanation:

1/3 of 30 is 10

2/5 of 10 is 4

How many solutions does the following equation have?
-6(2 + 7) = -4.0 – 2
Choose 1 answer:
No solutions
Exactly one solution
Infinitely many solutions

Answers

Answer:

-2.0, hope it helps

please make me brainliest

Step-by-step explanation:

-12 - 42 = - 6

-54 = - 6

-54 + 6 = - 48

I think 1 solution

Evaluate the following expression using the given values: (1 point)
Find x - 3y if x = 3 and y = -2.


-9
-3
3
9

Answers

Answer: 9

Step-by-step explanation:

x-3y

(3)-3(-2)

3+6

9

It is D i took the test!

Convert 0.00049 to scientific notation. 4.9 ⋅ 103 4.9 ⋅ 104 4.9 ⋅ 10−3 4.9 ⋅ 10−4

Answers

Answer:

4.9×10⁴

Step-by-step explanation:

this net consists of a square and 4 identical triangles. what is the surface area of the solid this net can form?

Answers

Answer:

The answer is 224.

I got it right on the quiz.


I need help with this please

Answers

Answer:

Step-by-step explanation:

Antelope, Montana:  

    21, 30, 42, 58, 70, 79

Range- 58     79-21= 58

Quartile 1- 30

Quartile 3- 70

Interquartile Range- 40     70-30= 40

Augusta, Maine:

    28, 32, 41, 53, 66, 75

Range- 47

Quartile 1- 32

Quartile 3- 66

Interquartile Range- 34

when is a event likely, not likely, unlikely in probolility

i need help

Answers

Answer:

umm is there something else we need to see

Given f(x)=4x2+19x−5 and g(x)=4x2−x. What is (fg)(x)?

Answers

Answer:

[tex] \boxed{(fg)(x) = 16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x} [/tex]

Given:

[tex]f(x) = 4{x}^{2} + 19x - 5 \\ \\ g(x) = {4x}^{2} - x[/tex]

To Find:

[tex] (fg)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex] = > f(x) \times g(x) = (4 {x}^{2} + 19x - 5)( {4x}^{2} - x ) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 {x}^{2} (4 {x}^{2} - x) + 19x(4 {x}^{2} - x) - 5(4 {x}^{2} - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} - 4 {x}^{3} + 76 {x}^{3} - 19 {x}^{2} - 20 {x}^{2} + 5x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x[/tex]

Answer:

Step-by-step explanation:

1 1/2 x 2/1 4 need help ASAP

Answers

3 3/8 is your answer.

Answer:

27/8 or 3 and 3/8

Step-by-step explanation:

Find the value of s.
s+ 14 = 26

Answers

Answer:

12

Step-by-step explanation:

1. Write out s+14=26

2. Subtract 14 by both sides to isolate s.

3. s = 12

Answer:

s = 12

Step-by-step explanation:

s + 14 = 26

  - 14   - 14         Subtract 14 from both sides

s = 12

Plug this back into the equation to make sure it works

12 + 14 = 26        Add

26 = 26               This solution does work

pls help me out pls it is dou in a few minutes ​

Answers

Answer:

it would be 4. c=.72n as you need to find how much each notebook sells for and then N would be your variable so that would tell you how many of something that someone got.

Step-by-step explanation:

PLS HELP Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

Answers

Answer:

Step-by-step explanation:

In triangle ABC angle A=45 angle B =40 and a=7.Which equation should you solve to find b?

Answer:
Sin45 / 7 = sin40 / b

Answers

We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.

We have two angles and opposite sides to these angles.

We will use Law of Sines to solve our given problem.

[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where a, b and c are opposite sides corresponding to angles A, B, and C respectively.

The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.

Upon substituting these values in Law of Sines, we will get:

[tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex]

Therefore, our required equation would be [tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex].

Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore
earned $570 for selling ll sofas. Which of the following equations represents this
situation, where s represents the number of sofas Mr. Gilmore sold and e
represents the amount he earned?

Answers

Let s represent the number of sofas and e  represent the amount earned.

We have been given that Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore  earned $570 for selling 11 sofas. We are asked to write the equation for given scenario.

We have two points on a line that are (3,210) and (11,570).

Let us find slope of line passing through these points.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{570-210}{11-3}[/tex]

[tex]m=\frac{360}{8}[/tex]

[tex]m=45[/tex]

Now we will use point-slope form of equation.

[tex]y-y_1=m(x-x_1)[/tex], where

m = Slope,

[tex](x_1,y_1)[/tex] = Any point on line.

[tex]y-210=45(x-3)[/tex]

[tex]y-210=45x-135[/tex]

[tex]y-210+210=45x-135+210[/tex]

[tex]y=45x+75[/tex]

Since amount earned is e and number of sofas is s, so our equation would be [tex]e=45s+75[/tex].

Therefore, our required equation would be [tex]e=45s+75[/tex].

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Answers

Answer:

sin (theta) = [tex]\frac{\sqrt{15} }{8}[/tex]

cos (theta) = [tex]\frac{7}{8}[/tex]

tan (theta) = [tex]\frac{\sqrt{15} }{7}[/tex]

cot (theta) = 7 square root 15/15

sec (theta) = [tex]\frac{8}{7}[/tex]

csc (theta) = 8 square root 15/15

Step-by-step explanation:

Tyrone has 53 movies in his collection. He wants to estimate the average length, in minutes, per movie in his collection. So, he wrote down the length of 10 random movies. The lengths are listed below.

116, 138, 150, 97, 150, 116, 138, 116, 150, 97

Assuming that the sample was representative of the entire collection, what was the mean number of minutes per movie?
A.
144
B.
133
C.
106.5
D.
126.8

Answers

Answer:

d:126.8

Step-by-step explanation:

How to Find the Mean

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

The mean is the same as the average value in a data set.

the number
When you multiply the number twice, you._______ the number

Answers

Answer:

square

Step-by-step explanation:

when multiplied by itself the number is squared

Which graph is the graph of this function?



A.
graph A
B.
graph B
C.
graph C
D.
graph D

Answers

Answer:

graph A.

Step-by-step explanation:

So, y = 1/2x - 2 is only graphed in A and D.

And x ≤ 6 is only graphed in graph A.

The graph of the piecewise function is the first graph (counting from the top).

Which is the graph of the function?

Here we have a piecewise function:

f(x) = 0.5*x - 2  if x ≤ 6

f(x) = -x - 1   if x > 6

So, we have an increasing line for x smaller or equal than 6, and a decreasing line for x > 6. Such that we should to have a closed dot at the end of the increasing line, because in that part we have the symbol ≥, meaning that x = 6 belongs to that part.

Then the correct graph is the first option.

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ2

Prove the triangles are congruent

Answers

Answer:

1: two sides and angle of one triangle are congruent.

Step-by-step explanation:

The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.

Hope this helps

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

Answers

Answer: A ) She only used the additive inverse of 10m when combining like terms .

Step-by-step explanation:

Holly only used the additive inverse of 10m when combining like terms. The equality is erroneous because the equation was evaluated well. The calculations should be as follows:

11m -13n + 6mn - 10m + 7n - 3mn = 1m - 6n +3mn

She should have subtracted 13n and 7n then take the negative value. Also, subtract 6mn and 3mn.

Answer:

A

Step-by-step explanation:

i took test

Hugo wants to make a sandwich using
Wrap (W) or Baguette (B)
and
Cheese (C) or Turkey (T)
and
Mayonnaise (M) or Ketchup (K)
a) List all the possible types of sandwiches Hugo could make.
One has been done for you (write all your answers on one line).
WCM,
b) What fraction of the possible types of sandwich have Turkey and Ketchup?​

Answers

Answer:

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) 1/4

Step-by-step explanation:

a)

For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b)

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Identiy the characteristics of the quadratic function and its graph. ​

Answers

Answer:

vertex is (3,-4)

axis of symmetry is x=3

the Domain is all real numbers

the Range is all real numbers greater than or equal to -4

when x < 3, y increases as x decreases

when x > 3, y increases as x increases

Please mark as brainliest if this helped!

AWARDING BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

3 times 3 plus 1 is 10 which makes it greater than 7

Answer:

B

Step-by-step explanation:

[tex]3m-1>7-1\\3m>6\\3m/3>6/3\\m>2[/tex]

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