Mathematics High School

Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

Answers

Answer 1

Answer:

f(x) = 2x(x - 8)

f(x) = 2(x - 2)² - 8

Step-by-step explanation:

Let the equation of the quadratic function is,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the function.

From the graph attached,

Vertex of the parabola → (2, -8)

Therefore, equation of the function will be,

f(x) = a(x - 2)² - 8

Since, the graph passes through origin (0, 0),

f(0) = a(0 - 2)² - 8

0 = 4a - 8

a = 2

Equation of the given parabola will be,

f(x) = 2(x - 2)² - 8

= 2(x² - 4x + 4) - 8

= 2x² - 8x + 8 - 8

= 2x² - 8x

= 2x(x - 8)

Therefore, factored form of the function will be,

f(x) = 2x(x - 8)

Related Questions

The graph below shows a line of best fit for data collected on the amount of time teenagers spend on the computer and
watching television.

Based on the line of best fit, how much time does a teenager spend watching television if they spend 360 minutes on the
computer?

OA. 60 minutes
OB. 15 minutes
OC. 30 minutes
OD. 45 minutes
ASAP

Answers

Answer:

C) 30 minutes

Step-by-step explanation:

According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.

Simplify: 2x2 – 1+ 4x2-5

Answers

Answer:

6x^2 - 6

Step-by-step explanation:

Hope this helps!!

Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will he need?

A square pyramid with a base of 4 meters by 4 meters and triangular side heights of 3 meters.

16 meters squared
24 meters squared
36 meters squared
40 meters squared
ITS NOT 24

Answers

The amount of fabric Henri will need is 40 meters squared

The amount of fabric Henri will require is the surface area of the square pyramid.

What is the surface area of the square spyramid?

The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides

Area of square base

The area of the square base is A' = L² where L = length of base = 4 m

So, A = L²

= (4 m)²

= 16 m²

Area of triangular side

The area of the triangular side is A" = 1/2Lh where

L = length of base = 4 m and h = height of triangle = 3 m

So, A" = 1/2Lh

= 1/2 × 4 m × 3 m

= 1/2 × 12 m²

= 6 m²

Since there are 4 triangular sides, the area of the sides of the pyramid is

4A" = 4 × 6 m²

= 24 m²

Amount of fabric Henri will need

Since the amount of fabric Henri will need is the surface area of the square pyramid,

So, The surface area of the square pyramid, A = A' + 4A"

= 16 m² + 24 m²

= 40 m²

So, the amount of fabric Henri will need is 40 meters squared

Learn more about surface area of square pyramid here:

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Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank

Answers

Answer:

30+ X = 52

Step-by-step explanation:

Answer:

x+30=52

or 52-30

Step-by-step explanation:

I know 2nd grade math.

Subtract 30 from 52.

A drink is available in 2 can sizes. Both have a diameter of 2 inches. The
small can has a height of 4 inches. The large can has a height of 6 inches.
Select all statements that are true:

The cans have the same volume.

The cans have the same circumference.

The small can has 2/3 the volume of the large can.

Both cans have a volume of more than 12 cubic inches.

Both cans have a volume of less than 18 cubic inches.

Answers

Answer:

Both cans have a volume of less than 18 cubic inches.

Step-by-step explanation:

3, 2, 16, 4, 26, 8, 6,3
How many dogs were in the Ridgeway Dogs show?

Answers

Answer: 68

Step-by-step explanation:

3 plus 2 plus 16 plus 4 plus 26 plus 8 plus 6 plus 3 = 68

Hope This Helps!

If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54

Answers

Answer:
36
Explanation:

Answer:it’s -36

Step-by-step explanation:

Evaluate t-⅓=8 no like please and thanks

Answers

Answer:

If its t to the power - 1/3 then it is 1/512

Step-by-step explanation:

t^-1/3=8

(1/t) ^1/3 =8

1/t = 8 ^3

t=1/512

PLS HURRY I ONLY HAVE LIKE 5 MINUTES TO ANSWER THIS

Answers

Answer:

Where is the question???? Lol

Explanation:

Answer:answer what

Step-by-step explanation:

find the volume of the cylinder

Answers

Step-by-step explanation:

8 volume

Identify the volume and surface area of the sphere in terms of π.

The figure shows a sphere. The sphere has a radius of 9 centimeters.

V = 972π cm3; S = 324π cm2
V = 243π cm3; S = 324π cm2
V = 972π cm3; S = 162π cm2
V = 243π cm3; S = 162π cm2

Answers

Answer:

Volume is: 972 and Surface area is 324

Step-by-step explanation:

How to get the volume is 9^3

That is 729

Times 4/3

972.

The surface area is 4 times 9^2

324.

You dont use the pie.

The equation of the trend line is y = -0.36x + 12.6 use the equation to of the trend line to predict the wind chill for a wind speed of 51 mi/h round your answer to the nearest degree. The wind chill at 51 mi/h

Answers

Given:

The equation of the trend line is:

[tex]y=-0.36x+12.6[/tex]

In this equation y represents the wind chill and x represents the wind speed.

To find:

The wind chill at 51 mi/h.

Solution:

We have,

[tex]y=-0.36x+12.6[/tex]

Putting [tex]x=51[/tex], we get

[tex]y=-0.36(51)+12.6[/tex]

[tex]y=-18.36+12.6[/tex]

[tex]y=-5.76[/tex]

Round the answer to the nearest degree.

[tex]y\approx -6^\circ[/tex]

Therefore, the wind chill at wind speed 51 mi/h is -6°.

A newborn baby weighs 3.136 times 10 Superscript 3 units. Which unit of measure was used?

Answers

Answer:

grams

Step-by-step explanation:

3.136 x 10³ = 3,136

3136 grams is approximately 7 pounds

there are about 28.3 grams in 1 ounce which means

28.3(16) or 452.8 grams per pound

3136 / 453 ≈ 7

Someone plz help me I suck at doing that

Answers

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

and sorry for the late answer

Which expression is equivalent?

Answers

Answer:

Option one is correct

Step-by-step explanation:

Hope it's helpful... :)

10x+24y=200
y=x+3
Pleas help me

Answers

Answer:

The answer should be x=3.76

Step-by-step explanation:

Find the Mean of the set of data: 4. 2. 6. 8. 5. 5

Answers

Answer: 30 / 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

step by step explanation

I need some help I will give you brainiest.
A teaspoon of common table salt contains about 2,000 mg of sodium. How many grams of sodium is this?

200 g

2 g

2,000,000 g

20 g

Answers

2 grams because 1000 milligrams = 1 gram

sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain

Answers

Answer:

Kai is right.

Step-by-step explanation:

Absolute Value is always positive.

Answer:

Kia is Right.

Step-by-step explanation:

14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.

HELP PLS ASAP NO LINKS
HURRY

Answers

Answer:

The last one

Step-by-step explanation:

up 3 one over

The answer is y=3x+1

Write down the name of these shapes.

Answers

Answer:

They are all quadrilaterals. To be specific, the first one is a parallelogram, the second one is a rectangle, and the 3rd one is just a quadrilateral!

Step-by-step explanation:

Which of the following is the solution to the inequality below?
-3/2(x-1/3)> -5x

A. x> -3/35
B. x>2/21
C. x< 2/21
D. x< -3/35

Answers

Answer:1/3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

3/2*(x-1/3)-(-5*x)>0

Step by step solution :

STEP

Simplify —

Equation at the end of step

3 1

(— • (x - —)) - -5x > 0

2 3

STEP

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (1) 3x - 1

——————————— = ——————

3 3

Equation at the end of step

3 (3x - 1)

(— • ————————) - -5x > 0

2 3

STEP

Simplify —

Equation at the end of step

3 (3x - 1)

(— • ————————) - -5x > 0

2 3

STEP

Equation at the end of step

(3x - 1)

———————— - -5x > 0

STEP

Rewriting the whole as an Equivalent Fraction :

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

-5x -5x • 2

-5x = ——— = ———————

1 2

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

(3x-1) - (-5x • 2) 13x - 1

—————————————————— = ———————

2 2

The equation at the end of step

13x - 1

——————— > 0

STEP

6.1 Multiply both sides by 2

6.2 Divide both sides by 13

x-(1/13) > 0

Solve Basic Inequality :

6.3 Add 1/13 to both sides

x > 1/13

Solve the given proportion 3/4 6/x x=?

Answers

Answer:

X=8

Step-by-step explanation:

3×X =6×4

3X=24

X= 24÷3

X= 8

The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

( 3/4 ) = ( 6/x )

Multiply by x on both sides , we get

( 3/4 )x = 6

Divide by 3 on both sides , we get

( 1/4 )x = 2

Multiply by 4 on both sides , we get

x = 8

Hence , the proportion is ( 3/4 ) = ( 6/8 )

To learn more about proportion click :

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Which of the following are not equivalent? *

1/3 and 5/15
1/4 and 0.25
0.6 and 6%
1/2 and 50%

Best answer get brainliest. 5 stars and a heart

Answers

1/3 and 5/15 that’s the answer

0.6 and 6% are not equivalent.

To turn a decimal into a percentage you move the decimal place two places to the right. By doing this you can see that 0.6 = 60% and is not equivalent to 6%. I hope this helps!

A recip says use 3 cups is flour to make 48 cookies what is the contact of proportionality that relays the number of cookies made y, to the number of cups of used, X

Answers

Answer:

Step-by-step explanation:

y = k * x

Where,

y = number of cookies made = 48

x = number of cups of used = 3

k = constant of proportionality

y = k * x

48 = k * 3

48 = 3k

k = 48/3

k = 16

Therefore,

The constant of proportionality = 16

solve for p
p+23.7=41.13

Answers

Answer:

p=17.43

Step-by-step explanation:

To solve this I just subtracted

p=41.13-23.7

which is

p=17.43

Audrey and her family are discussing how to pay for her college
education. The cost of tuition at the college that Audrey wants to
attend is $11,000 per year. Audrey's parents will pay 85% of the
tuition cost every year, and she will pay the rest. Audrey has one
year to save enough money to attend her first year of college. What
is the minimum amount of money she should save every month in
order to reach her goal?

Answers

Answer:

$137.50

Step-by-step explanation:

11,000 x .15 (100-.85)=$1.650 amount she will have to pay annually.

$1,650/12months = $137.50 is minimum to save monthly.

$27 for 4 large pizzas or $32 for 5 large pizzas

Answers

Answer: 5 large

Step-by-step explanation:

$6.75 per pizza for 4 large pizzas

$6.40 per pizza for 5 large pizzas

(2) Find the area of each circle to the nearest tenth

Pls show the work not just give me the answer

Answers

Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

Help^^^^^^^^^^^^^^************

Answers

I’m pretty sure that the one you marked is correct

Answer and Step-by-step explanation:

The answer you chose is correct:

D. 2(5w + 5)

This is equivalent to 10w + 10.

This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.

#teamtrees #PAW (Plant And Water)

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Type the correct answer in each box. Use numerals instead of words. This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

Answers

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Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?