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3 years ago

Let f(x) = x 7 and g(x) = x − 4. find f(x) ⋅ g(x).

Mathematics

2 answers:

scoundrel [369]3 years ago

5 0

Answer:

x^2+3x-28

Step-by-step explanation:

(x+7)(x-4) multiply the parentheses

x^2-4x+7x-28 combine like terms

x^2+3x-28

nikklg [1K]3 years ago

4 0

F(x) = x⁷

g(x) = x - 4

f(x).g(x) = <span>x⁷*(x - 4) = x</span>⁸ - 4x⁷

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3 years ago

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3 years ago

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3 years ago

Find soluton to x^2-14x+49=25

Artyom0805 [142]

$\boxed{x=12 \ and \ x=2}$

<h2>Explanation:</h2>

In this exercise, we have the following equation:

$x^2-14x+49=25$

We can write this Quadratic Equation in Standard Form as follows:

$x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\$

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

The sum is -14
The product is 24

Those numbers are:

-12 and -2
SUM: -12-2 = -14
PRODUCT: (-12)(-2)=24

So we can write this as:

$x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\ x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}$

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

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3 years ago