The scatter plot shows the average heights of children up to age 5. Part A
Drag numbers to complete an equation for the trend line. Numbers may be used once, more than once, or not at all.
4.5 added to
Part B
Using the linear equation, predict the average height for a two-year old.

Answer: 37.5

Step-by-step explanation:

75 divided by 2

Answer:

2

Step-by-step explanation:

1+x/4+x = 1/2

4+x = 2 + 2x

x = 2

Answer:

x=1/2

Step-by-step explanation:

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

[tex]P_{x}[/tex] = 2 , [tex]P_{y}[/tex] = 4

Now,

Budget constraint -

[tex]P_{x}[/tex] x + [tex]P_{y}[/tex] y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2         ........(1)

100x + 2 = 4        .........(2)

Divide equation (2) to equation (1) , we get

[tex]\frac{100y + 1}{100x + 2} = \frac{1}{2}[/tex]

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = [tex]\frac{250}{2}[/tex] = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

                   = 3125000 + 250 + 250

                  = 3125000 + 500

                 = 3125500

⇒u(250, 125) = 3125500

The maximized value of the utility function is $3125500

The utility function is given as:

[tex]U(x,y) = 100xy + x + 2y[/tex]

The prices per unit are also given as:

[tex]P_x = 2[/tex]

[tex]P_y = 4[/tex]

When a person receives $1000, then the budget function is:

[tex]2x + 4y = 1000[/tex]

Divide through by 2

[tex]x + 2y = 500[/tex]

Differentiate the utility function with respect to x and y

[tex]U'(x) = 100y + 1[/tex]

[tex]U'(y) = 100x + 2[/tex]

So, we have:

[tex]U'(x) = P_x[/tex] and [tex]U'(y) = P_y[/tex]

The above equations become

[tex]100y + 1 = 2[/tex] and [tex]100x + 2 = 4[/tex]

Divide both equations

[tex]\frac{100y + 1}{100x + 2} = \frac 24[/tex]

Reduce the fractions

[tex]\frac{100y + 1}{100x + 2} = \frac 12[/tex]

Cross multiply

[tex]100x + 2 = 200y + 2[/tex]

Subtract 2 from both sides

[tex]100x = 200y[/tex]

Divide both sides by 100

[tex]x = 2y[/tex]

Recall that:

[tex]x + 2y = 500[/tex]

So, we have:

[tex]2y + 2y = 500[/tex]

[tex]4y=500[/tex]

Divide through by 4

[tex]y=125[/tex]

Recall that:

[tex]x = 2y[/tex]

So, we have:

[tex]x = 2 \times 125[/tex]

[tex]x = 250[/tex]

Also, we have:

[tex]U(x,y) = 100xy + x + 2y[/tex]

Substitute the values of x and y, in the above function

[tex]U(250,125) = 100 \times 250 \times 125 + 250 + 2 \times 125[/tex]

[tex]U(250,125) = 3125500[/tex]

Hence, the maximized value of the utility function is 3125500

Read more about utility functions at:

https://brainly.com/question/24922430

Answer:

100,000,000. 10×10^7

Step-by-step explanation:

There is a function on a calculator that use exponents.

Answer:

no solutions.

Step-by-step explanation:

2x - 3y = 1

-4x + 6y = -4

Simplifying our second equation, we get:

-4x + 6y. =-4

-2x + 3y = -2

2x - 3y = 2

From here, we can see that this system of equationis has no solutions because, how can 2x - 3y be equal to both 1, and 2???

Answer:The point form would be (4,3) and the equation form would be x=4,y=3

Step-by-step explanation:

can I get marked brainliest

Answer:$1.05

Step-by-step explanation:

Step-by-step explanation:

:

=$7×15/100

=$1.05

Answer:

15% of 12 is 1.8

Step-by-step explanation:

15 x 10/100 = 1.8

Answer:

go to photo math and it would work

Answer:

23/99

Step-by-step explanation:

anything repeating will have a 9 as the denominator

Answer:

the answer is B

Step-by-step explanation: i added the two fractions

Answer:

x=78.2

Step-by-step explanation:

Answer:

x = 8.94 inches

Step-by-step explanation:

Since it is already given that the area of the painting is 400 in² and the fact that area is length times width, we can make an equation and solve for x:

A=LW

400=(4x+9)(x)

400=4x^2+9x

0=4x^2+9x-400

Use the quadratic formula:

x=[-9±√(9²-4(4)(-400))]/2(4)

x=[-9±√(81+6400)]/8

x=[-9±√(6481)]/8

x = [-9+√(6481)]/8 = 8.938082281 = 8.94

x = [-9-√(6481)]/8 = -11.18808228 = -11.19

Since distance can only be positive, we will choose 8.94 as the correct solution. Therefore, x = 8.94 inches is the correct answer.

Answer:

Hey! Ok so the height is C.10 ft.

Step-by-step explanation:

So to find the height I have to do

h=Vlw =540 12·4.5=10

So therefore its 10

Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest!

Answer:

It's gonna be 2t - 7 my friend

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.

Answer:

ur ans is A

Step-by-step explanation:

GOODLUCK

Answer:

its the second answer i hope that helps

Answer:

Step-by-step explanation:

i have no idea

Answer:

(5x+2) (x-3)

Step-by-step explanation:

Answer:

Jose is incorrect.

Step-by-step explanation:

Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.

Answer:

Hi! The correct answer is x= -3 ,-5!

Step-by-step explanation:

~Factor and set each factor equal to 0~

Answer:

(X+2) (X+6)=0

Step-by-step explanation:

X2+8x+12=0

or, X2+(2+6)X+12=0

or, X2+2x+6x+12=0

or, X(X+2) +6(X+2) =0

or, (X+2)(X+6)=0

Answer:

subtract both sides by 11, then dove both sides by 4

Answer:

Four

Step-by-step explanation:

All the animals are on the bed, but the bed itself has four legs.

Answer: 6

Step-by-step explanation: the legs from the bed, and your 2 legs

Answer:

add file/link/pdf

Answer:

Step-by-step explanation:

X +4=

8x=32

Answer:

35.672

Step-by-step explanation:

and this is answer.

Step-by-step explanation:

hope this will help you.

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation: