Find the vertex for the following functions.
f(x) = -2x2 + 8x + 3
A. (11,2)
B.(2,11)
C.(0,0)

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

The slope of a line is the coefficient of x. The only ones with a positive coefficient of x are B and F.

Answer:

6

Step-by-step explanation:

Answer:

area of ΔAPQ = 8 units²

Step-by-step explanation:

since the dimensions are 1/3 size, the area scale factor will be 1/9.

72/9 = 8 units²

Answer:

Step-by-step explanation:

A/4=72/12

A=4(72)/12

A=24 u^2

Answer:

12

Step-by-step explanation:

The required length of the triangular prism is given as 15 centimeters.

Given that,
The volume of a triangular prism is 30 cm. Each triangular face has an area of 4 cm, how long the prism is to be determined.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of the triangular prism = 1 / 2[area of face] × length
                                               30  = 1/2 [4] × length
                                          length = 15 cm

Thus, the required length of the triangular prism is given as 15 centimeters.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ5

Answer:

madision be $12

Jasmine be $24

And, the devanie be $18

Step-by-step explanation:

The computation is shown below:

Madison be x

Jasmine be 2x

Devanie be x + 6

And, the total is $54

Now the equation is

x + 2x + x + 6 = $54

4x = $48

x = $12

So madision be $12

Jasmine be $24

And, the devanie be $18

Answer:

5x - 5

Step-by-step explanation:

Answer:

[tex]\bold{5x-5}[/tex]

Step-by-step explanation:

Hi there!

The Distributive property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we take a number a, multiply it by b and c, and then add the products.

Now, let's solve the given math problem:

[tex]\bold{5(x-1)}[/tex]

[tex]\bold{5x-5}[/tex]

Hope it helps! Enjoy your day!

~Just a teen willing to help others

[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]

Answer:

There is no photo all I can say is to re ask this question so that we are able to see a photo.

Step-by-step explanation:

Step-by-step explanation:

part 1

Area =2L×2B

2(9in) ×2(6in)

18in×12in

=216in²

Part 2

Area of a triangle =½×base ×height

½×9in×14in

=63cm²

Answer:

119 degrees

Step-by-step explanation:

You see that the angle BAD is the same angle as EAC so youhave to add the measures of the angles EAF, and FAC, which is 62 + 57, therefore the answer is BAD= 119 degrees   You are welcome

Answer:

Its 5 over 8

5/8

Step-by-step explanation:

Answer:

the answer for this question is line q

Answer:

i think its (4, -6)

Step-by-step explanation:

Answer:

[tex]4[/tex]

Step-by-step explanation:

Given: [tex]f(x)=4x-2[/tex]

To find:  average rate of change of the function [tex]f(x)=4x-2[/tex] over the interval [tex]x=-1[/tex] and [tex]x=2[/tex]

Solution:

Take [tex]a=-1,\,b=2[/tex]

Find [tex]f(a),\,f(b)[/tex]

[tex]f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6[/tex]

Average rate of change of the function [tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{f(2)-f(-1)}{2-(-1)}\\\\=\frac{6-(-6)}{3} \\\\=\frac{12}{3}\\\\=4[/tex]

Answer:

4x10=40

34x10=340

40+340+3= 383

Step-by-step explanation:

Answer:

No, 16t -3t equals 13t while 3t - 16t equals -13t

Answer:

No,

16t= 16x2=32

3t=3x2=6

32-6=26

3t=3x2=6

16x2=32

6-32=-26

Step-by-step explanation:

t=2?

Answer: 5.5 years

Step-by-step explanation:

Answer:

5.55 years or 66.67 months.

Step-by-step explanation:

5.55 years assuming that you are not factoring in interest rates

10000/150 is 66.67 months

divided by 12 months to a year gives you 5.55 years

1/4 x^2 + 11 = 38

multiply both sides by 4

x^2 + 44 = 152

x^× = 152 - 44

x^2 = 108

x = + or - 6 square root of 3

x¹ = -6 square root of 3

x² = +6 square root of 3

Answer:

it ARBY'S

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Given:

The price of a doll = $35

Sales tax = 6%

To find:

The tax amount that a customer will pay on one doll.

Solution:

The price of doll is $35 and the sales tax is 6%, so the tax amount on a doll is 6% of 35.

[tex]\text{Tax amount}=35\times \dfrac{6}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{210}{100}[/tex]

[tex]\text{Tax amount}=\dfrac{21}{10}[/tex]

[tex]\text{Tax amount}=2.1[/tex]

Therefore, the tax amount that a customer will pay on one doll is $2.1.

Answer: The square root of 81/49 is the answer

Step-by-step explanation:

Answer:

I dont see any question

Step-by-step explanation:

Answer:

where is the question????

Answer:

Heres the answer

Step-by-step explanation:

HOPE THIS HELPS :)

BAINLIEST PLSS

Answer:

n = 50

Step-by-step explanation:

The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon​

let the sum of exterior be e

Let the sum of interior be i

IF the sum of interior angles of a regular polygon is 24 times the size of exterior angle, then;

i = 24e

Also sum of exterior angle = 360/n

i + e = 180

24e + e = 180

25e = 180

e = 180/25

e = 7.2

since  sum of exterior angle = 360/n

7.2 = 360/n

n = 360/7.2

n = 50

The number of sides is 50

f(x) = 3x + 1

f(2) = 3 * 2 + 1 = 6 + 1 = 7

Answer : A)

Answer:

The answer is 7

Step-by-step explanation:

[tex]f(2) = 3(2) + 1 \\ = 6 + 1 \\ = 7[/tex]

Answer:

ummm

Step-by-step explanation: