35 POINTS please help asap

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?

f(x) = _x(x - _)
f(x) = _(x − _)^2 + _

i know for sure the first four blanks are 2, 4, 2, and 2 but the last is NOT 8.

35 POINTS Please Help AsapType The Correct Answer In Each Box. Use Numerals Instead Of Words.This Graph

Answers

Answer 1

The quadratic equation given in the graph can be represented in these two following ways:

Factored: f(x) = 2x(x - 4).Vertex form: y = 2(x - 2)² - 8.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this graph, the roots are [tex]x_1 = 0, x_2 = 4[/tex], hence the factored form of the polynomial is:

f(x) = ax(x - 4).

When x = 5, y = 10, hence the leading coefficient is found as follows:

10 = 5a(5 - 4)

5a = 10

a = 2.

Hence the factored form of the polynomial is:

f(x) = 2x(x - 4).

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the vertex is at point (2,-8), hence h = 2, k = -8 and:

y = a(x - 2)² - 8

When x = 5, y = 10, hence the leading coefficient is found as follows:

10 = a(5 - 2)² - 8

9a = 18

a = 2.

Hence the equation in vertex-form is:

y = 2(x - 2)² - 8

More can be learned about quadratic functions at https://brainly.com/question/24737967

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Related Questions

Find the area of parallelogram ABCD given m∠A = 30° and the following measures. AD = in.; AB = 8 in. A=
32 in.²
32√3 in.²
16√3 in.²'

Answers

Answer: Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3

Angle A =30

To find the area of the parallelogram

We have area of parallelogram = base x height

Here base can be taken as side AB = 6 ft

Height = perpendicular distance of AB from vertex X

= AX sin A

= 3√3sin30

=1.5√3

Hence area =6(1.5√3)=9√3ft^2

MARK ME BRAINLIST

HOPE IT IS HELPFUL

Answer:

16√3 in.²'

Step-by-step explanation:

Hope this helps, sorry for answering late.

o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3​

Answers

if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.

i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3

Answer:

getting points since this is an old question tehe

Please help it’s due in 20 mins would it be A B C or D

Answers

Option C is correct

x < 1

Answer:

C ) x < 1

Step-by-step explanation:

The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.

I need help on this question

Answers

I believe this is pythag

15^2 x 11^2 = 27225

(square root) of 27225 = 165

165ft

2 x 5 x 10 helppppppp

Answers

Answer: 100

Step-by-step explanation:2*5 =10 then 10*10 is 100

Answer:

100

Step-by-step explanation:

so, here is how to work this problem out

2*5 = 10

10*10 = 100

Anyone able to help?

Answers

Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.

3x^2+24x+9=0

x^2+8x+3=0

x^2+8x+16+3=16

(x+4)^2=13

x+4=±[tex]\sqrt13[/tex]

x=-4±[tex]\sqrt13[/tex]

This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.

*Now I am going to show you a way to solve this with the quadratic formula.

I am going to use the main formula because its more clear although the even formula is easier for this question.

3x^2+24x+9=0

x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3

x=(-24±[tex]\sqrt{576-108}[/tex])/6

x=(-24±[tex]\sqrt{468}[/tex])/6

since 468 is a multiple of 36

x=(-24±6[tex]\sqrt{13[/tex])/6

x=-4±[tex]\sqrt{13}[/tex]

This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.

What is the formula for the following arithmetic sequence?

-9, -2, 5, 12, ...

an = -9 + 7( n - 1)
an = -9 + (-7)( n - 1)
an = 7 + (-9)( n - 1)
an = 9 + (-7)( n - 1)

Answers

Step-by-step explanation:

an = -9 + 7(n-1)

because you start at -9 and go up by increments of 7

2 multiplied by 4 times
a. 81
b. 8,000
c. 16
20 is the base, 3 is the exponent
a. 81
b. 8,000
c. 16

Answers

Answer:

2×2×2×2=16. hope u like it

1. 16 2x2x2x2= 16 answer is C

2. 8,000 20x20x20=8,000 answer is b

PLEASE I NEWD HELP ON THIS

Answers

Answer:

5. Inequality form: n  ≥  3

   Interval notation: [3, ∞)

       

6.  Inequality form: x < 4

    Interval notation: (- ∞, 4)                          

11. Inequality form: x > 50

   Interval notation: (50, ∞)

12. Inequality form: y [tex]\geq[/tex] 8

     Interval notation: [8, ∞)

15. Inequality form: z < 8

    Interval notation: (- ∞, 8)

       

16. Inequality form: y [tex]\geq[/tex] 4

    Interval notation: [4, ∞)

Step-by-step explanation:

I tried to graph them as best as I could, I hope this helps!

what expressions are equivalent to -2(4-3x)+(5x-2)​

Answers

Answer:

11x-10

Step-by-step explanation:

1.Rearrange terms

-2(4-3x)+(5x-2)

-2(-3x+4)+(5x-2)

2.Distribute

-2(3x+4)+(5x-2)

6x-8+(5x-2)

3.Eleminate redundant parentheses

6x-8+(5x-2)

6x-8+5x-2

4.subtract the numbers

6x-8+5x-2

6x-10+5x

5.Combine like terms

6x-10+5x

11x-10

•solution

11x-10

HELP PLEASE !! URGENT !!

Answers

Directions and I am not sure of the other answer sorry :)

Find (3x+1)(x+4) using the table of products. Write your answer in standard form.

Answers

Step-by-step explanation:

just multiply both the values and get the quadratic solution.

The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.

We have given that,

(3x+1)(x+4) using the table of products.

We have to determine the standard form.

What is the formula of the standard form?

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

ax^2+bx+C=0

[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]

[tex]=3x^2+13x+4[/tex]

Therefore the standard form is 3x^2+13x+4=0.

To learn more about the standard form visit:

https://brainly.com/question/19169731

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Need answers quick pls!!!!!!

Answers

Answer:

A. False

B. True

C. False

D. False

E. True

Step-by-step explanation:

A. The diameter would be 6 inches.

B. Circumference = Diameter × 2

C. Area = Pi * Radius^2, NOT Pi^2.

D. Same as C.

E. Area = 3.14 × 1.5 × 1.5 = 7.065

Josie makes invitations for her aunt's paper company. Of all the invitations Josie makes, 15/21 are children's party invitations. Of those invitations, 3/5 have an animal on them. What fraction of the invitations Josie makes are children's party invitations with an animal on them?

Answers

Answer:

the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

The computation of the fraction of the invitations considered to be an animal on them is shown below:

= Children party invitations × animal on them

[tex]= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}[/tex]

Hence, the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46

Answers

It’ll be D) 7/46 you can reduce it by dividing everything with 4

If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?

Answers

Answer:

6-7 dollars maybe?

Step-by-step explanation:

you didn't give a picture so Im just rounding

(sorry if I'm wrong)

Can someone please tell me what is the solution

Answers

Answer:

[tex] \frac{1}{4} \tan {}^{4}(x) + c[/tex]

find the sum of series of multiple of 5 from 5 to 100 inclusive​

Answers

Answer:

let me think

Step-by-step explanation:

The figure below is parallelogram. Find the measure of th
variable.

Answers

Answer:

D

Step-by-step explanation:

u = 4 since 2u - 1 = 8 - 1 = 7

t = 3 since 5t + 1 = 15 + 1 = 16

and 7t - 5 = 21 - 5 = 16

Hope that helps!

the answer is D for this problem

The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 20 seconds?

Answers

Answer:

Step-by-step explanation:

-40t

-40(20)

-800 ft

Please help! image is shown below

Answers

Answer:

I think 3 maybe since 5 times 3 is 15

Step-by-step explanation:

Answer:

z=10

Step-by-step explanation:

60/40=1.5

15/1.5=10

If a 24oz bottle of water costs $2.35. What is the cost per ounce? Round to the nearest penny.

Answers

Answer:

10¢

Step-by-step explanation:

To find how much an ounce cost, dive 2.35 by 24.

[tex]\frac{2.35}{24} = 0.097\\[/tex]

Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.

Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.

Answers

Area=9ROOT3 inches
Anyway wanna talk?!

10.
Write a rule for the linear function in the graph.

A. y = 4/5x + 2

B. y = -5x - 2

C. y = 5/4x - 2

D. y = -4/5x + 2

Answers

Answer:

D. y = -4/5x + 2

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

4

5

y-intercept:  

(

0

,

2

)

x

y

0

2

5

2

0

Sally measured the height of a flower growing in her garden. The flower was 3.25 inches tall. Over the next week, the flower grew h inches and measured 4.125 inches tall. How many inches did the flower grow during the week? Round to the nearest hundredth.​

Answers

Answer: The flower grew  0.88 inches during the week

Step-by-step explanation:

Height of flower in the previous week = 3.25 inches

Height of flower the next week = 4.125inches

height the flower added during the week = 4.125 inches - 3.25inches

=0.875 inches

Rounding to the nearest hundredths becomes 0.88 inches

a quadratic polynomial the sum of whose zeros is -3 and product is -10​

Answers

Answer:

2 and -5 i think

Step-by-step explanation:

What scale factor was applied to the first rectangle to get the resulting image?

Answers

Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)

don't forget to drop a heart hope it helped

Step-by-step explanation:

Answer: 1/0.2=5

Step-by-step explanation:

I hope this helps if you guys need a reach out to me :)

Jacob joined a gym for a year. His total cost for the year was $410, including the monthly

Answers

Answer:

What's your question ask the full question

The answer is Blue because my mom got stuck in the toaster tomorrow

tysmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

The answer is 10

Step-by-step explanation:

To get this you will make the improper fraction into a fraction and then turn that into decimal form

[tex]4 \frac{1}{8} = 4[/tex]

and

[tex]5 \frac{6}{10} = 6[/tex]

That is how you find the estimated answer

Hope this Helped

2x + 5xy + 9x + 3 what is the solution to this problem?

Answers

Answer:

5xy + 11x + 3

Step-by-step explanation:

We have the expression 2x + 5xy + 9x + 3 and are asked the solution.

This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.

2x + 9x

11x

Therefore :

5xy + 11x + 3

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