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3 years ago

F(x) = 4x – 2 g(x) = -3x2 – 7x + 4 Find: f(x) · g(x) HeLP

Mathematics

1 answer:

notka56 [123]3 years ago

5 0

Answer:

$\large\boxed{f(x)\cdot g(x)=-12x^3-28x^2+30x-8}$

Step-by-step explanation:

$f(x)=4x-2\\\\g(x)=-3x^2-7x+4\\\\f(x)\cdot g(x)=(4x-2)\cdot(-3x^2-7x+4)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(4x)(-3x^2)+(4x)(-7x)+(4x)(4)\\+(-2)(-3x^2)+(-2)(-7x)+(-2)(4)\\\\f(x)\cdot g(x)=-12x^3-28x^2+16x+6x^2+14x-8\\\\\text{Combine like terms}\\\\f(x)\cdot g(x)=-12x^3+(-28x^2+6x^2)+(16x+14x)-8\\\\f(x)\cdot g(x)=-12x^3-28x^2+30x-8$

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Answer:

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To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

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i.e

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3 years ago

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DerKrebs [107]

The value of n is 11.

Step-by-step explanation:

The given expression is (n-9) ÷ 10 = -2

To find the value of n :

From the expression, it is determined that (n-9) is the numerator and 10 is the denominator.
Cross multiply the denominator in the left side of the expression to the another side.

The expression becomes (n-9) = (10 $\times$ -2).

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3 years ago

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MArishka [77]

The answer is 30°.
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DIA [1.3K]

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