Describe how to find what value of x must be to minimize the function f(x) = 9x^{2} - 36x + 32 using factoring.

Answers

Answer 1

Answer: x=2, f(x)=-4

Step-by-step explanation:

Given

[tex]f(x)=9x^2-36x+32[/tex]

Solving it, add and subtract 4 to it

[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]

Answer 2

Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.

Step-by-step explanation:

Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value


Related Questions

15 points! whats value of q?

Answers

Answer:

30 degrees

Step-by-step explanation:

Good luck fam

I need help with this question​

Answers

Answer:

It would be b I think

Step-by-step explanation:

Letter B is the correct answer to your question

Can i get the answer please
I will give a brainliest and a thank you

Answers

Yes I agree with her it’s c (give her brainlyest if you want ;)

The two triangles are similar.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x = 10

Step-by-step explanation:

The ratio of corresponding sides of similar figures is same:

3x/20 = (4x + 2)/(20 + 8)3x/20 = (2x + 1) / 143x(14) = (2x + 1)(20)42x = 40x + 202x = 20x = 10

Answer: x=10

Step-by-step explanation: correct test results

find two numbers whose sum is 44 and whose difference is 20 (PLEASE HELP I HAVE 5 MINUTES)

Answers

The correct answers would be 32 and 12.
32 + 12 = 40, and 32 - 12 = 20. Hope this helps! Have a great day!

I need help please!!!

Answers

Answer:

A

Step-by-step explanation:

Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?

Answers

Answer:

12 cups

Step-by-step explanation:

Solve the system of equations below.
{X – y= 7
{2 – y= -4
O (5,2)
O (2,5)
O Ø
O Infinite

Answers

Answer:

fewaaaaa

Step-by-step explanation:

What is the value of x below? *
A diagram with line m parallel to line n is shown.

Answers

Answer:

Step-by-step explanation:

The sum of those two angles must be 180 degrees.

3x+10+80=180

3x+90=180

3x=90

x=30

ASAP NEED HELP DUE TMR

Answers

The mean is 58 the median is 15.5

A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.

(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?

Answers

I believe it’s A good luck

Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?

Answers

Answer:

15,6

Step-by-step explanation:

15×104/100=15,6

She make 15,6$ per hour

2(3×+4)=4×+12 i need help with this problem​

Answers

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

2/3 x 2/3 x 2/3 = plz answer me

Answers

The answer is 8/27 beacuse you must moltiplicate 2 for 2 and after for 2. Then 3 for 3, and after for 3

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.

Answers

Answer:

45+5.50p=80

Step-by-step explanation:

45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest

Lacey pays $15 for each hour of golf lessons and $10 for equipment rental. Is the total cost of Lacey's lesson a function of the number of hours scheduled? Fill in the table with the correct outputs.

Answers

Answer:

60

Step-by-step explanation:

15x3=45

5x3=15

15+45=60

Is Kee
Keelin wants to find the value of t in the equation
}(150 – 30) = 50. Her work is shown below.
Solve: ž (15t – 30) = 50
Choosed
Step 1: 5t -
10 = 50
The equa
Step 2: 5t = 60
Step 3: t = 12
To determ
To find the
Choose

Answers

I think is -15 but I have no idea don’t trust me tho

A triangle has side lengths of 16 cm and 7 cm. Which could be the value of the third side, 28 cm or 19 cm?

The Value _______ cm is the value of the third side.

Drop down options:

28
19

Answers

Answer:

19

Step-by-step explanation:

by pythagoras theorm

19 i think, i’m more of a visual person lol

What is the rate of change for the function represented
in the table?
$0.50 per book
$0.67 per book
$1.07 per book
$1.50 per book

Answers

0.67 per book I think

The rate of change for the function represented in the table is 1.5.

What is Rate of change?

Rate of change, also known as slope or gradient, is a measure of how quickly one variable is changing with respect to another variable. In mathematics, it is typically represented as the ratio of the change in the output variable (y) to the change in the input variable (x) over a given interval.

Let's choose the points (100, 50) and (250, 275). The change in profit between these two points is:

Δy = 275 - 50 = 225

The change in books sold between these two points is:

Δx = 250 - 100 = 150

The slope of the line between these two points is the ratio of the change in profit to the change in books sold:

m = Δy/Δx = 225/150 = 1.5

So the rate of change for the function represented in the table is 1.5,

which means that for every additional book sold, the profit increases by $1.50.

Learn more about Rate of Change here:

https://brainly.com/question/29518179

#SPJ5

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

AC = 4 miles, BE = 3 miles and FD = 2 miles What is the area of this quadrilateral?​

Answers

Answer:

Step-by-step explanation:

NEED HELP This is a picture of a coordinate graph.

Which ordered pair describes a point that is located 4 units to the left of the origin and 6 units below the x-axis?

(4, −6)
(6, −4)
(−4, −6)
(−6, −4

Answers

Last one is the answer to your question

round to nearest thousandth
0.227​

Answers

Answer:

is there another number after the 7 if so if it is 5 or bigger it rounds up but 1-4 rounds down

Step-by-step explanation:

Answer:

0.23!! =D

hundredths (1/100)

what is thisssssssss

Answers

Answer:

it is a game

Step-by-step explanation:

Which expression uses the greatest common factor and distributive
property to write 18 + 24 as a product? Circle the letter of the
correct answer.
A 2(9 + 12)
B 8(10 + 16)
C 6(3) + 6(4)
D 6(3+4)
Lily chose A as the correct answer. How did she get that answer?

Answers

Answer: she got that because when you multiply 2 by 9 you get 18 and when you do 2 times 12 you get 24. Choice à is just a disturbuted version of 18+24

Step-by-step explanation:

Answer:

D. 6(3 + 4)

Step-by-step explanation:

because 18 + 24 = 42 and 6(3 + 4) = 42 as well

Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?​

Answers

Answer:

95°

Step-by-step explanation:

Straight angle is 180°

JKL = MKL + JKM180° = 85° + xx = 180° - 85°x = 95°

find the value of given expression

[tex] \sqrt[3]{9 - 1} [/tex]

Answers

Answer:

2 ans ......

Step-by-step explanation:

Solution:

= ³√9-1

= ³√8

= 2 ans....

Answer:

[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]

answer asap pls no wrong answers pls

Answers

Answer:

(-1.1)

Step-by-step explanation:

i dont if is right just tring yo help

Find the value of x to the nearest tenth.

Answers

Answer:

The value of x is 3.5.

You buy a new video game for $60.
The sales tax is 8%.

What is the total cost for the game including sales tax?

Answers

Answer:

$64.8

Step-by-step explanation:

To determine the tax, you want to make the percent into a decimal by moving the decimal point over two times the the left, which means 8% would be 0.08. Then, multiply the new decimal by the price. 60 times 0.08 is 4.8. Now, add the tax to the original price. 60+4.8=64.8, so therefore the total cost is $64.8

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