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3 years ago

Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation F•g(x) Please help!!!

Mathematics

2 answers:

earnstyle [38]3 years ago

8 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

First
Outer
Inner
Later

f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

ruslelena [56]3 years ago

4 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4) [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48 [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

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Evacuate the following using suitable identities (102)^3

snow_lady [41]

The value of $(102)^3$ exists 1061208.

<h3>How to estimate the value of $(102)^3$ ?</h3>

Let us rewrite $(102)^3$ as $(100+2)^3$

Now utilizing the identity $(a+b)^3=a^3+b^3+3ab(a+b)$ , we get

a = 100 and b = 2 then substitute the values of a and b then

$(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]$

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, $(102)^3=1061208$

Therefore, the value of $(102)^3$ exists 1061208.

To learn more about cubic polynomial equation refer to:

brainly.com/question/28181089

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2 years ago

−50/54−40%+1.65

irga5000 [103]

The answer is - 0.53

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3 years ago

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S_A_V [24]

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3 years ago

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saw5 [17]

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Step-by-step explanation:

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3 years ago

How do you solve You earn 15n 15n dollars for mowing n lawns. How much do you earn for mowing one lawn? Seven lawns?

Rudik [331]

Answer:

$15 for a lawn, $105 for seven lawns.

Step-by-step explanation:

The question is about the direct ratio problem. Logically, you will earn more if you mow more lawn.

The scheme for this ratio is given below:

15 n_________n lawns

x_________ 1 lawn

$x=\frac{15n*1}{n} = 15$

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When you mow 7 lawns, the scheme will be in this manner:

15 n__________n lawns

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$x=\frac{15n*7}{n}=105$

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8 0

3 years ago