The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?

Answers

Answer 1

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k


Related Questions

Solve the system of liner equations using substitution
{y=-x+3
3y+5x=-1

Answers

Answer:

[tex]y = - x + 3 \\ 3y + 5x = - 1[/tex]

Step-by-step explanation:

[tex]3( - x + 3) + 5x = - 1 \\ - 3x + 9 + 5x = - 1 \\ 2x = - 10 \\ x = - 5 \\ y = - x + 3 \\ y = 5 + 3 = 8 \\ y = 8[/tex]

PLEASE HELP LIKE QUICK PLEASE PLEASE ( you'll get 50 points!!! )
A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−5 ​items, respectively. The first plant produces how many more items daily than the second​ plant?

Answers

70 - 15 = 55 ( 5x + 14 - 3x-5 )

So, the first plant produces 55 more items daily than the second plant.

I hope this helped!

Answer:

[A]first manufacturing plant produce =5x+14 items

se

[B]second manufacturing plant produce=3x-5

now

difference=A-B=5x+14-{3x-5}=5x+14-3x+5=2x+19

The first plant produces 2x+19 more items daily than the second plant.

please help ill give 20 points!!!

Answers

Answer:

H

Step-by-step explanation:

As you can see the more shirt's that were bought the lower the price becomes per shirt.

Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?

Answers

Answer:

9 miles

Step-by-step explanation:

Given that :

Given that:

On map:

5cm = 2 miles

If a map trail = 22.5cm

Length of trail in real life :

(22.5 cm / 5cm) * 2miles

4.5 * 2 miles = 9 miles

The trail is 9 miles in real life

Which statement describes the mapping?
Group of answer choices

A. The mapping does not represent y as a function of x, because two of the x-values corresponds to the same y-value.

B. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

C. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

D. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Answers

Answer:

b. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

Step-by-step explanation:

This shape is a kite.
Calculate the value of a.
I will give the brainliest to the correct answer!

Answers

Answer:

a = 72

Step-by-step explanation:

the sum of a four-sided polygon's angles equal 360°

so you can add all four angles together and set them equal to 360

a + a + a + 2a = 360

5a + 360

a = 360/5

a = 72

There are four angles in a kite.

The value of a to make the shape a kite is [tex]72^o[/tex].

The sum of angles in a kite is [tex]360^o[/tex]

So, we have:

[tex]a + a + a + 2a = 360^o[/tex]

Add like terms

[tex]5a = 360^o[/tex]

Divide both sides by 5

[tex]a = 72^o[/tex]

Hence, the value of a is [tex]72^o[/tex]

Read more about kites at:

https://brainly.com/question/4350272

(SOMEONE HELP ASAPP )In triangle QRS below, 2Q = 53.13º and ZR = 36.87°

Which of the following are true?

Answers

Can you please show the triangle?

Help with this plz bc I don’t want to get I trouble by my teacher

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is C. She saves $150 every month

Step-by-step explanation:

2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?

Answers

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

Which expression is equal to (x – 3)(2x^2 – x + 3)?
O 2x3 + 5x2 + 6x - 9
o 2x3 – 7x2 – 9
o 2x3 – 7x2 + 6x – 9
o 2x3 + 5x2 - 9

Answers

Answer:

C. 2x^3 - 7x^2 + 6x - 9

Step-by-step explanation:

Hope this helps!

Answer:

c

Step-by-step explanation:

HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)

Answers

9514 1404 393

Answer:

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

Step-by-step explanation:

The following angles are equivalent:

  Q = U = 45°

  R = T = W = 225°

  S = V = 90°

  X = 135°

Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.

So, the true angle statements are ...

∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠V

Help pls!! What is the perimeter of triangle FBD?

Answers

Answer:

46

Step-by-step explanation:

AC = 2FD

CE = 2BF

AE = 2BD

2FD + 2BF + 2BD = 2(FD + BF + BD) = AC + CE + AE

2[tex]P_{FBD}[/tex] = [tex]P_{ACE}[/tex] ⇒ [tex]P_{FBD}[/tex] = [tex]\frac{1}{2}[/tex] [tex]P_{ACE}[/tex]

[tex]P_{FBD}[/tex] = 92 ÷ 2 = 46 units

14. Which of the following pairs of equation are equivalent
2x+8=18 and x=18-12
2x+(-6)=14 and 2x=14+6
21x=38 and 3x=36
6x=182 and x = 182/3​

Answers

Answer:

the second equatin

2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal

sum of two rational numbers is - 8 is 3 by 4 find others ​

Answers

Answer:

Step-by-step explanation:

ans is -35/4.

The answer would be -34/4

C=(y-6)h solve for y

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:y=c/h +6

the total cost of a bike cycle and radio is rupees 7000. if the cost of the bike cycle is rupees thousand a more than two times of the cost of the radio find the cost of each of these two items ​

Answers

Answer :

Radio = 2000

Bike = 5000

Hope this helps u

please help me whit these ​

Answers

Your answer should be A

sorry if it isnt right

mark brainliest-?

Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3

Answers

S.76,20 hope this helps

The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?

Answers

Answer:

width = 26 ft

length = 54 ft

Step-by-step explanation:

perimeter = 160 ft

width = x

length = x + 28

Perimeter = 2(width) + 2(length)

[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]

width = x = 26

length = x + 28 = 26 + 28 = 54

Help me please. Will give brainliest

Answers

Answer:

The answer is B. they're using the slope equation to figure out the slope. none of the other equations are set up correctly, so B is the correct answer.

Step-by-step explanation:

i hope this helps :))

Y is over x so answer is b

Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

plz help ill give brainliest if correct

Answers

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

728 - 3 = queen plus 3 so make sure 4 x 3 is 9

Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?

Answers

Answer:   A≈47791.31

Step-by-step explanation:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

25000

r

=

0.036

t

=

18

n

=

365

P=25000r=0.036t=18n=365

Given values

A

=

25000

(

1

+

0.036

365

)

365

(

18

)

A=25000(1+

365

0.036

)

365(18)

Plug in values

A

=

25000

(

1.0000986301

)

6570

A=25000(1.0000986301)

6570

Simplify

A

=

47791.3122461

A=47791.3122461

Use calculator

A

47791.31

A≈47791.31

The amount after 18 years will be $47,791

What is compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.

A = P(1+r/365)^n*365

A = 25000(1+0.00009863)^6570

A = 25000(1.00009863)^6570

A = 47,791

Hence, The amount after 18 years will be $47,791

For more references on compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Answers

Answer:

a. y = x/6 b. 3 heads of lettuce

Step-by-step explanation:

a. Write an algebraic expression Gio could use to determine how much lettuce he needs

Since Gio needs one head of lettuce for every 6 guests who attend, then, the number of lettuce y needed for x guests is one head of lettuce/6 guests × x guests is y = 1/6 × x

= x/6

b. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Since 18 guest come to the party, x = 6. So, y = x/6

= 18/6

= 3 heads of lettuce.

Which proportion would you use to solve this problem?
Nine Is 4% of what number?
40
100
х
O
X
9 100
o
х
100
4
100

Answers

Answer:

its c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

hope this helps!

What is 11.242/22 eqaul?


I need ASAP

Answers

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle

Answers

i think you had an auto correct problem

Your family is looking for a new car! They want to purchase the car that has the best miles/gallon in the city. Below are the advertisements for 4 pre-owned 2013-2014 cars. Please help me someone

Answers

Answer:

Although no list of cars was given, you find the top five that I can recommend

Step-by-step explanation:

Kindly note that no sufficient data/information was provided, however, as a way forward to answer this question you can look up the list of  five cars with great miles per gallons

1. Honda Civic

   Engine Type: Gas, Hybrid

   MPG: Up to 35 MPG mixed city/highway for gasoline, 40-50% higher in    

   hybrid engine

   Body Styles: Coupe, Sedan, Hatchback

2. Hyundai Elantra

  Engine Type: Gas, Hybrid

  MPG: Up to 36 MPG mixed city/highway

  Body Styles: Sedan

3. Nissan Altima

   Engine Type: Gas

   MPG: Up to 34 MPG mixed city/highway

   Body Styles: Sedan

4. Toyota Corolla

    Engine Type: Gas

     MPG: Up to 34 MPG mixed city/highway

    Body Styles: Sedan

5. Honda Accord

    Engine Type: Gas, Hybrid

    MPG: Up to 31 MPG mixed city/highway for gasoline, up to 48 MPG for    

     hybrid

    Body Styles: Sedan, Coupe

please help! algebra 2

Answers

im sure Its the last one

Help plzzzzzzzzzzzzzz ​

Answers

Sooo the answer is......

Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?

Answers

Answer:

My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c

Step-by-step explanation:

Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.

So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]

= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]

= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.

So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]

= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]

= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].

Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4

So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.

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