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Bumek [7]
3 years ago
5

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)

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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
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Answer:

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x-4 y = -4    and </em>

<em>The equation of the parallel  line to the given equation is </em>

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

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

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

<em>The equation of the parallel line to the given equation is </em>

<em>3 x - 4 y = k </em>

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

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

-12 +8 = k

k = -4

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>Dividing '4' on both sides , we get</em>

<em></em>\frac{3 x-4 y}{-4} = 1<em></em>

<em></em>\frac{-3 x}{4} +y =1<em></em>

<em></em>y = 1 + \frac{3 x}{4}<em></em>

<u><em>Conclusion</em></u>:-

∴ <em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>and </em>

<em>The equation of the parallel  line to the given equation is </em>

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

<em>     </em>

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This is the definition of a rational number.
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