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3 years ago

6

(ASAP)Someone help me out please

1 answer:

ludmilkaskok [199]3 years ago

8 0

Answer:

Y= 1/3x + 4

Step-by-step explanation:

4 is the y intercept and it goes across one and down 3 for the get the slope of 1/3.

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A) Simplify<br> X-2<br> 7(x - 2)2

Finger [1]

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

I hope this helps:)

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6 0

2 years ago

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

2 years ago

Which of these is not a Pythagorean Triple?

Greeley [361]

Answer:

C because the rest are pythagoreaum theroems 1 squared plus 2 squared does not equal 3 squared.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Alonzo loaned jeremy $325.18 for 1 year at a simple interest rate of 12 5/8%. how much interest will jeremy have to pay?

gayaneshka [121]

Jeremy will pay $41.05 interest.

We know that, Interest = PRT/100

where,

P = principal

R = rate

T = time

For given question, principal (P) = $325.18

interest rate R = 12 5/8%

= 12.625%

And period T = 1 year

We need to find the interest.

⇒ Interest = PRT/100

⇒ Interest = (325.18 × 12.625 × 1) / 100

⇒ Interest = 4105.3975 / 100

⇒ Interest = $41.05

Therefore, Jeremy will pay $41.05 interest.

Learn more about the interest here:

brainly.com/question/15052754

#SPJ4

7 0

8 months ago

A recipe for fruit punch calls for 8 cups of Sprite for every 12 cups of fruit juice. What percent of the recipe is made up of f

Tasya [4]

Answer:

y=8x+12

Step-by-step explanation:

8 0

3 years ago