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3 years ago

Expand to write an equivalent expression: -1/4(-8x+12y)

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

$-\frac{1}{4}(-8x+12y)$

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

$(-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)$

Multiply -1/4 and -8x first.

$((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)$

$2x+(-\frac{1}{4} *12y)$

Next, multiply -1/4 and 12y.

$2x+ ((-\frac{1}{4} *12)y)$

$2x+ -3y$

A +- becomes a -

$2x-3y$

dalvyx [7]3 years ago

3 0

Answer:

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

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3 years ago

The profit per acre from a grove of orange trees is given by x(190 − x) dollars, where x is the number of orange trees per acre.

nasty-shy [4]

Answer:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

Step-by-step explanation:

For this case we have the following function for the profit:

$P(x) = x(190-x)$

And we can rewrite this expression like this:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

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3 years ago