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2 years ago

Find the inequality represented by the graph.

Mathematics

1 answer:

baherus [9]2 years ago

8 0

Answer:

y > 1/3 x - 3

Step-by-step explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

y = 1/3x - 3

We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

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What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

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2 years ago

A 14.4-inch poster is ruled in 9 columns of equal width. How wide is each column?

konstantin123 [22]

14.4 inches / 9 = 1.6 inches

Each column is 1.6 in wide

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Solve for x. Show the equation you used and your work.

kirza4 [7]

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3 years ago

Read 2 more answers

What 3 write x3 x3x3x3x3 using exponents

Rainbow [258]

Not exactly sure wat u mean but if u are asking for 3x3x3x3x3 in exponents
it would be 3^5

On paper you wrtie 3 with a small 5 on the top right of the 3
the 5 means how many 3 u are multiplying

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2 years ago