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grigory [225]
3 years ago
12

Simplify this expression 12(4 + 6)-0(8-7)

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

48 +72- 0= 120 that is my simplification

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Let f(x) = 8x^3 − 22x^2 − 4 and g(x) = 4x − 3. Find f(x) over g(x).
Alenkasestr [34]
You would use the long division technique..

Here it looks like:
<span>
            --------------------
4x − 3 |</span> <span>8x^3 − 22x^2 − 4
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and like that,,,

after you do this, you will get

2x^2-4x-3-\frac{13}{4x-3}


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A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig
givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, A_p=(x-2)(y-8)

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}

Equate the differentiated function with 0,

0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

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