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3 years ago

Find the inequality represented by the graph

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

8 0

Answer:

y > 1/3x - 3

Step-by-step explanation:

Finding the line using the points:

(0, -3) and (3, -2)

The equation:

y = mx + b

The slope is:

m = (-2 + 3)/(3-0) = 1/3
y- intercept is -3

So the line is:

y = 1/3x - 3

As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:

y > 1/3x - 3

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

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4 years ago

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Pavlova-9 [17]

Answer:

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Answer:

a square, rectangle,trapezoid

Step-by-step explanation:

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