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2 years ago

The equation of a vertical line passing through the point (-1,8) is

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Answer:

y=8 if you draw your points on the map the question asks a vertical line pasing through (-1,8) the answer would by y=8

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Callie brought 2 gallons of juice for 2.58 per gallon.She sold the juice in 1-cup servings for 0.75 each.Each serving is 1/16 ga

Elena L [17]

To be exact she made a profit of $6.84!

2.58+2.58=5.16 This is how much she has to make to make a profit.

0.75*16=12 She made $12 in total :)

hope it helps:))

6 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Help with these please and highly appreciate the help !!!!!!!

k0ka [10]

Which one will we start with? I'll explain 21. multiply it out and the clean it up. you should end up with 140=A if I'm correct.

7 0

4 years ago

I will mark you

Nana76 [90]

Answer:

Yes, because the x's do not have more than one y.

Step-by-step explanation:

x y

0 0

5 10

6 12

10 20

(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.

7 0

3 years ago

Find m∠X. Put the answer below.<br> m∠X =

tia_tia [17]

This is a 90-60-30 triangle so the angle is 30 degrees.

3 0

3 years ago