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Step2247 [10]
2 years ago
8

Find the slope of the line passing through the points (-6,7) and (-8,5)

Mathematics
1 answer:
kykrilka [37]2 years ago
4 0

Answer:

Slope = 1

Step-by-step explanation:

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The answer to this question would be 1/8 or in decimal form it would be 0.125. hopefully this helps with your question.
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A fish tank is in the shape of a cube. Its volume is 125 ft 3. what is the area of one face of the tank
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5*5*5=125
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3 years ago
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4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail
Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

h^{-1}(x)=\sqrt{\frac{x+1}{3}} ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = f^{-1}(x)

* <em>Lets use these steps to solve the problems</em>

∵ f(x)=\sqrt{x-3}

∵ f(x) = y

∴ y=\sqrt{x-3}

- Exchange x and y

∴ x=\sqrt{y-3}

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by f^{-1}(x)

∴ f^{-1}(x)=x^{2}+3

∵ g(x) = x² + 3

∴ f^{-1}(x)=g(x)

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ f(x)=\sqrt{x-3}

∵ g(x) = x² + 3

∴ f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ \frac{x + 1}{3}=y^{2}

- Take √ for both sides

∴ ± \sqrt{\frac{x+1}{3}}=y

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ \sqrt{\frac{x+1}{3}}=y

- replace y by h^{-1}(x)

∴ h^{-1}(x)=\sqrt{\frac{x+1}{3}}

4 0
3 years ago
Smith chose the underlined words for a reason. What
lbvjy [14]

Answer:

She wanted to persuade others that women should not ride bicycle

8 0
3 years ago
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What is the slope of the line that
Naily [24]

Answer:

The line has a slope of zero which means the line is a horizontal line.

Step-by-step explanation:

Given that:

The two points are (-3,2) and (4,2)

Slope of a line is given by the formula,

m = \frac{Rise}{Run} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Here,

x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2

Putting these values in formula;

m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0

Hence,

The line has a slope of zero which means the line is a horizontal line.

4 0
2 years ago
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