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3 years ago

How to simplify this expression??

Mathematics

1 answer:

slega [8]3 years ago

8 0

Answer :

$\frac{2 {x}^{3} + 7 {x}^{2} + 3x - 4}{ {x}^{3} + 3 {x}^{2} + x - 1}$

Step-by-step-explanation :

I did the explanation in the picture.

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50 POINTS FOR CORRECT AWNSER!

Grace [21]

Answer:

$\mathsf{y < \dfrac47x-4}$

Step-by-step explanation:

<u>First, find the equation of the line</u>.

<em>Slope-intercept form</em> of a linear equation: $\mathsf{y=mx+b}$

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

where:

$\mathsf{(x_1,y_1)=(0,-4)}$
$\mathsf{(x_2,y_2)=(7,0)}$

$\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}$

Therefore, the equation of the line is:

$\mathsf{y=\dfrac47x-4}$

For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

$\mathsf{y < \dfrac47x-4}$

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2 years ago

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3 years ago

Which expressions are equivalent to the one below? Check all that apply log₂ 2 + log₂ 8

S_A_V [24]

Answer:

A. 4 B. log₂(2^4)

Step-by-step explanation:

A. log₂ 2 = log₂ 2¹ = 1

log₂ 8 = log₂ 2³ = 3

log₂ 2 + log₂ 8 = 1 + 3 = 4

B. *log₂ 2⁴ = 4

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poizon [28]

Answer:

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Step-by-step explanation:

The answer is Reciprocal

I hope this helps you :)

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4 years ago

Read 2 more answers