in a sale the cost of a coat reduced from $85 to $67.50 calculate the percentage reduction in the cost of the coat

Need help<br> Question in the screenshot below<br> NO spam<br> Please show your work

Alja [10]

<h3>Answer: x = 6</h3>

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Work Shown:

$\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\$

$x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\$

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

3 0

3 years ago

The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula for this relationship is shown.

timama [110]

Answer:

b

Step-by-step explanation:

7 0

3 years ago

Need help please for school thank uuuuu

kramer

Answer:

>

Step-by-step explanation:

4 0

2 years ago

Hello im in 11th grade, im currently struggling in two classes: chemistry and spanish. Im already in the second semester, and ju

Katarina [22]

For chemistry you would need to get an 84.
For Spanish you would need to get an 82.
Best of luck

7 0

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