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3 years ago

Can someone explain how to do these questions or show me how?

Mathematics

1 answer:

AleksAgata [21]3 years ago

3 0

Check the picture below.

bear in mind that since we have a radical in the denominator, we'd rationalize the denominator to take it off the denominator.

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Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)

Brums [2.3K]

$▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪$

Given :

$f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1$

$g(x) = 4x - 5$

let's solve for f(x) × g(x) :

$( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)$

$4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5$

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3 years ago

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4 0

3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

xz_007 [3.2K]

Answer:

The equation of the parallel line to the given equation is

3 x-4 y = -4 and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

$\frac{3 x-4 y}{-4} = 1$

$\frac{-3 x}{4} +y =1$

$y = 1 + \frac{3 x}{4}$

Conclusion:-

∴ The equation of the parallel line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

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3 years ago

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This is the definition of a rational number.

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If the function G(x) = (x - 8)2 + 6 has the same shape as F(x) = x2 + 6, how far to the right of F(x) is G(x) shifted?

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3 years ago