2 years ago

Write the equation in slope-intercept form. 4x+3y=18

Mathematics

1 answer:

Helen [10]2 years ago

6 0

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. -3/ -3y = 4x - 18 /3

5. y = -4/3x + 6

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An open topped box is constructed as follows: A 24 in. x 24 in. square bottom has four identical squares cut off at each corner.

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Given

square bottom area is $24\times 24\ in.^2$

Suppose x in. is cut from each corner to make a open box with maximum volume

New base area is $(24-x)\times (24-x) in.^2$

Volume of box

$V=(24-x)^2\times x$

Differentiate V w.r.t x to get maximum volume

$\frac{\mathrm{d} V}{\mathrm{d} x}=2\cdot (24-x)(-1)+1\cdot (24-x)^2$

Put $\frac{\mathrm{d} V}{\mathrm{d} x}=0$

$\left ( 24-x\right )\left [ -2x+24-x\right ]=0$

$\left ( 24-x\right )\left [ 24-3x\right ]=0$

$x=24,8$

but x=24 is not possible therefore x=8 will yield maximum volume

$V=(24-8)^2\cdot 8=2048\ in.^2$

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2 years ago

Tina bought 20 apples and bananas for her class. Apples cost $1.50 each. Bananas cost $1.25 each. Tina spent $28 in all. How man

babunello [35]

Tina bought 12 bananas and 8 apples

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3 years ago

Can someone answer my previous question pleaseeee

Georgia [21]

Answer:

all done bud, I'm just here for the extra points :D

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2 years ago

Read 2 more answers

Please answer question 4

olasank [31]

#4)
cross multiply
2(8x+10) = 4 * 5x
16x + 20 = 20x
4x = 20
x = 5

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You have nine books that you want to arrange on a book shelf. How many different ways can you arrange the books on one shelf?

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