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

At a zoological​ garden, 3 people ride the tram for every 4 people who​ don't ride it. Write the ratio of people who ride the tram to all people in three ways. Write the ratio of all people to people who​ don't ride the tram in three ways. Write the ratio of people who ride the tram to all people in three ways.

Answers

Answer:

= 3 to 7

= 3 : 7

= 3/7

Step-by-step explanation:

Number of people who ride the tram = 3

Number of people who does not ride the tram = 4

Total people = 3 + 4 = 7

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Ratio of all people to people who​ don't ride the tram in three ways.

= 7 to 4

= 7 : 4

= 7/4

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Find the perimeter of the window to the nearest hundredth. if the bottom is 3ft

Answers

where’s the pic i need more info

yall im tired please help im lacking hella motivation and i have a bad headache so please helpp me cuz no one has thank you luvs <3

Answers

Answer:

1,193.81

Step-by-step explanation:

Use the formula:

A=2PIrh+2PIr^2

Answer:

Curved surface area of cylinder

=PH

=2pirh

=2×3.142×5×9= 282.78in sq

A is the closest.

ASSAP EASY MATH does a shape stay congruent when it has been rotated

Answers

Answer:

They are still congruent even after being rotated they still will remain the same shape.

Step-by-step explanation:

Answer:All the sides of each shape must be identical. so yes if it is

Step-by-step explanation:

Nora and Rachel were the fastest two swimmers at the swim meet .Nora finishing time was 25.04 and Rachel’s was 25.4 .Nora was so happy .She believed she had tied with Rachel, Rachel said good job Nora but I won .Who is correct?

Answers

Answer:

Nora Won

Step-by-step explanation:

In a swimming contest you would go for the least time, so, let's see who had the least time:

20 = 20 (Tens places)

5 = 5 (Unit place)

0 < 4 (Tenths place)

So, Nora was the winner and she was faster than Rachel by 0.36 seconds

Hope it helps

Given g (2) = -2x + 5 - 1.
List the domain, range, x-intercept, y-intercept, and end behavior of g(x).

Answers

Answer:

Step-by-step explanation:

Domain : all real numbers

Range : All real numbers

x - intercept : none

y- intercept : (0,2)

End behavior : Points diagnally to the right

Kenya is trying to find matching socks. There are 4 red socks, 6 blue socks, and 2 white socks in her drawer. What is the probability that Kenya will pull out a blue sock, put it on, and then pull out another blue sock to put on?

Answers

Answer:

1/3 is the probaility

Step-by-step explanation:

since there are 3 different socks the answer would be 1/3

Answer:

The probability of her pulling of a blue sock the first time is 6 out of 12

The probability of her pulling out a blue sock the 2nd time would be 5 out of 11

Please help ! (Pls DONT send a link)

Answers

i say 33
because every other number is a multiple of five, but not 33

Answer:

33

because every other number is a multiple of five, but not 33

Step-by-step explanation:

Given the triangle below with vertices A(4,3) B(-2,3) and C(-1,-2). Find the area and perimeter

Answers

Answer:

12.5 sq units. Explanation: Area of a triangle with vertices (x1,y1),(x2,y2),(x3,y3) is 12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]. Using this formula ...

Step-by-step explanation:

you have to study

The value of the area of circle is,

Area = 15 units²

And, The value of perimeter is,

⇒ 6 + √34 + 5√2 Units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle with vertices A(4, 3) B(-2, 3) and C(-1, - 2).

Now, We know that;

Area of triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃) is,

= 1/2 [ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃(y₁ - y₂) ]

Hence, We get;

The value of the area of circle is,

Area = 1/2 [ 4 (3 + 2) - 2 (- 2 - 3) - 1 (3 - 3) ]

Area = 1/2 [ 20 + 10 ]

Area = 1/2 x 30

Area = 15 units²

We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, Lenght of AB is,

AB = √ (- 2 - 4)² + (3 - 3)²

AB = √- 6²

AB = 6

BC = √ (- 2 - 1)² + (3 + 2)²

BC = √9 + 25

BC = √34

CA = √ (- 1 - 4)² + (- 2 - 3)²

CA = √25 + 25

CA = √ 50

CA = 5√2

Thus, The perimeter of triangle is,

⇒ AB + BC + CA

⇒ 6 + √34 + 5√2

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ3

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula.

Answers

The question is incomplete. The complete question is :

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?

Solution :

It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.

So for Jiana :

Principal, P = $300

Rate of interest, r = 7%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

[tex]$A=P\left(1+\frac{r}{100}\right)^{t}$[/tex]

   [tex]$=300\left(1+\frac{7}{100}\right)^{3}$[/tex]

   [tex]$=300(1+0.07)^3$[/tex]

Now for Tomas :

Principal, P = $400

Rate of interest, r = 4%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

[tex]$A=P\left(1+\frac{r}{100}\right)^{t}$[/tex]

   [tex]$=400\left(1+\frac{4}{100}\right)^{3}$[/tex]

   [tex]$=400(1+0.04)^3$[/tex]

Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is [tex]$A=300(1+0.07)^3$[/tex] .

And the pair of equations that would correctly calculate the compound interests for Tomas is [tex]$A=400(1+0.04)^3$[/tex] .

Answer:

If anyone is having problems understanding the other persons answer it is (D)

Step-by-step explanation:

Are the ratios 15:12 and 6:4 equivalent?

Answers

Answer:

No

Step-by-step explanation:

To get to 12 from 4 you'd have to multiply by 3 but, if you multiply 6 by 3 you get 18, not 15.

No they are not equivalent

GIVING BRAINLIEST!!!! Pls help :(
Select the statement that describes this expression: 13 + fraction 1/2 x (6 ÷ 2 + 6)

A) 13 more than half of 6 more than the quotient of 6 and 2
B) 13 more than half of the quotient of 6 and 6 minus 2
C) Half of 13 multiplied by the quotient of 6 and 2 plus 3
D) 13 plus half of 6 divided by 2, then subtract 6

Answers

Answer: It's A.

Step-by-step explanation:

I did the test and I got it right

The expression should be described option A. A) 13 more than half of 6 more than the quotient of 6 and 2

Description of an expression:

Since the expression is  13 + fraction 1/2 x (6 ÷ 2 + 6)

So we can explained that 13 should be more than the half of 6 i.e. more than the quotient of 6 and 2.

Therefore, the option A is correct.

And, the rest of the options are wrong.

learn more about expression here: https://brainly.com/question/1673286

What is the area of the triangle below?
14
23.6
***
12

Answers

Answer: The answer is 84! Good luck!

the scale factor is 1 : 87. If the diameter of a wheel on a model train is 0.3 inch, what is the diameter of the actual wheel?

Answers

Answer:

26.1

Step-by-step explanation:

Consider 0.3 as 1. Now multiply 0.3 by 87.

Solve for x.

6x – 4(3x – 5) = 2
A. x =113
B. x = 3
C. x = –3
D. x = –113

Answers

X=3 so it would be letter B

Please help me please help ASAP this is really really important

Answers

Answer:

3rd. 1

Step-by-step explanation:

Please help me with this

Answers

Answer:

Step-by-step explanation:

(xy^-6)^2

A. xy^-36
B. xy^36
C. x^2y^-12​

Answers

Answer:

Step-by-step explanation:       (9=4-38-838,256=2-60^7

Hopes this helps:

Answer: C. X^2y^ -12

How I know I use this called Cymath

find the value of given expression

[tex] \sqrt{300 \times 3} [/tex]

Answers

Answer:

√(300×3)=√900=√30²=±30 is your answer

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

Answers

Answer:

k=102

Step-by-step explanation:

hope this helps with your assignment

5=
5=
\,\,\frac{x}{3}
3
x

Answers

no solution xd

x=5

x/3=5 => x=15

x=5 x=15 contradicts

ryan has some donuts he takes 5 away

d - 5 = ?

Answers

Answer:

2

Step-by-step explanation:

Odell Gleaves delivers Danberry Real Estate calendars to town residents after
school.

He is paid $0.06 for each calendar he delivers.

What is his total pay for a
week in which he delivered the following number of calendars?

Mon- 100
Tues- 130
Wed- 145
Thurs- 138
Fri- 210

Answers

Answer: $4.34

Step-by-step explanation:

Mon: 0.6x100= 60 cents

Tue: 0.6x130= 78 cents

Wed: 0.6x145= 87 cents

Thurs: 0.6x138= 82.8 cents

Fri: 0.6x210= 126 cents

60+78+87+82.8+126= 433.8 cents

There are 100 cents in a dollar

4.33.8 cents, so 4.34 if you round up (if the last number is five or greater round up)

To prepare for a party, Jada poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into the cups. How many cups did Jada fill? H e l p please :)

Answers

Answer:

20 cups

Step-by-step explanation:

Jada poured 0.45 liters of juice into several cups

9 liters was poured into each cup

Therefore the number of cups that Jada will fill up in the party can be calculated as follows

= 9/0.45

= 20

Hence Jada will fill up 20 cups

Solve quickly please.

Answers

Find the change between the first two sets:

12-9 = 3

14.4 - 10.8 = 3.6

3.6/3 = 1.2

Now find the change between the last two sets:

12 - -3 = 15

14.4 - 3.6 = 10.8

10.8/15 = 0.72

1.2 does not equal 0.72 so the answer is No

Needed ASAP for tonight, 10 quick homework questions
30 points and a brainly (see attached picture)

Answers

17:80n power of 2+60n+10

You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):
T = 100 + 12 M

If you have $208, how many months have passed?

Show the equation and how you got the answer.

Answers

The answer would be 9 months. 9x12=108 so that would be 100+108= 208

100

Add 12 every month

Ex: 100 + 12

100 + 12 + 12+ 12+ 12+ 12+ 12+ 12+ 12+ 12

It wound not be 100 x 9 because 100 x 9 is 900

Therefore 9 months

9 x 12 = 108

so that would be 100+108= 208

Hope this helps~

What is the apparent solution to the system of equations graphed above?

Answers

Answer:

C

Step-by-step explanation:

thank you lol i’m not smart sorry

Answers

Answer: 65

Step-by-step explanation: Sum of angles in triangles is always 180, we know one angle is 25 and another is 90, so 25 + 90 = 115, then 180 - 115 = 65.

If x=8 and y=−3, evaluate the following expression:6x−8y​

Answers

Answer:

72

Step-by-step explanation:

here's your solution

=> x= 8

=> y= -3

=> putting the value

=> 8*6 - (8*-3)

=> 48 + 24

=> 72

hope it helps

Hey there!

If x = 8 and y = -3, then SUBSTITUTE it into the equation

6(8) - 8(-3)

6(8) = 48

48 - 8(-3)

8(-3) = -24

48 - (-24)

- & - = +

48 + 24 = 72

Answer: 72

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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