(7b^9-12)-3b^9 <br> subtracting binomials

HELP THIS IS WORTH 40 POINTS Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on

ankoles [38]

A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:

Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04

The fraction of the sale price of the necklace in profit is denoted as x.

15.99x = 7.04
x = 704/1559

b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44

c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces

Her profit for the 14 necklaces sold would be:

$223.86 - $3.38(14) - $5.57(14) = $98.56

7 0

3 years ago

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Please help extra points cuz ik this will be hard and some time to do

vesna_86 [32]

Answer

Part A

1 - 1

2 - 3

3 - 6

4 - 10

5 - 15

Part B

Now plot these points on the coordinate plane

(1,1) (2,3) (3,6) (4,10) (5,15)

Part C

It is NOT a linear function

4 0

3 years ago

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6 + 4/6 show all work

zvonat [6]

To answer, change the 6 into a fraction

6 x 6/6 = 36/6

36/6 + 4/6 = 40/6

Simplify

40/6 = 6 4/6, or 6 2/3 (simplified)

hope this helps

6 0

3 years ago

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Grandma usually puts 8 brownies into each of 4 containers, but now she has 8 containers. If she wants to divide the 32 brownies

tatiyna

She put 4 brownies in each container.

3 0

3 years ago

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A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 1584 cubic feet

liq [111]

Answer:

The room dimensions that will minimize the cost of the paint are 12 ft x 12 ft x 11 ft.

Step-by-step explanation:

We can find first the volume equation using the formula of the volume of a box.

$V= xyz$

Thus we get the constraint function

$1584 = xyz$

Then since we are asked to minimize the cost, we can write the cost function which is the area of each one of the walls and ceiling multiplied by the painting cost.

$C=0.11 xy+ 2(0.06)xz+2(0.06yz \\ C =0.11 xy+0.12xz+0.12yz$

Lagrange Multipliers to find minimum cost.

We can continue finding the partial derivatives to build the system of equations required for Lagrange Multipliers method.

$C_x=\lambda V_x \\ C_y = \lambda V_y \\ C_z = \lambda V_z$

And the constraint function

$xyz=1584$

So we get

$0.11y+0.12z=\lambda yz \\ 0.11x+0.12z=\lambda xz \\ 0.12x+0.12y=\lambda xy\\ xyz=1584$

We can multiply each side of each equation by the dimension which is missing to get the full volume on the right side.

$0.11xy+0.12xz=\lambda xyz \\ 0.11xy+0.12yz=\lambda xyz \\ 0.12xz+0.12yz=\lambda xyz$

Then we can set each the equations equal to each other, so from the first one and the second equation we get

$0.11xy+0.12xz= 0.11xy+0.12yz$

We can subtract 0.11xy from both sides.

$0.12xz=0.12yz$

And we can divide both sides by 0.12z to get

$x=y$

We can repeat the process by setting the first and third equation equal to each other.

$0.11xy+0.12xz= 0.12xz+0.12yz$

We can subtract 0.12 xz from both sides

$0.11xy=0.12yz$

And we can solve by z

$z= \cfrac{0.11x}{0.12}\\ z = \cfrac{11x}{12}$

So if we replace that as well y = x on the constraint for the volume euqation we get

$1584=x(x)\left(\cfrac{11}{12}x\right) \\ 1584=\cfrac{11}{12}x^3$

We can then solve for x

$x^3 = \cfrac{1584(12)}{11}$

And taking the cube root

$x = \sqrt[3]{\cfrac{1584(12)}{11}}$

$x = \sqrt[3]{1728}$

$x=12 ft$

So then we can use the equations we have found for y and z in terms of x

$y = x \\ y = 12 ft$

And

$z= \cfrac{11x}{12}\\z= \cfrac{11(12)}{12} \\ z=11ft$

Then the dimensions of the room that will minimize the cost are 12ft x 12 ft x 11 ft. Since you have to enter using commas you can write 12, 12, 11, please check as well if you have to insert the units that are feet for each.

5 0

3 years ago

(7b^9-12)-3b^9 subtracting binomials