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2 years ago

What is an equation of the line that passes through the points(-1,1) and (-2,-4)?

Mathematics

1 answer:

BaLLatris [955]2 years ago

4 0

Answer:

The equation of a line passing through the points (-1, 1) and (2, -4) is

5x + 3y + 2=0

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For the funtion f(x)= (x+7)^5, Find f^-1 (x)

quester [9]

Answer:

The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

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3 years ago

Bailey likes the shape of her friend's pool, but she wants one that is half the volume. According to Cavalieri’s Principle, what

Cerrena [4.2K]

Answer: I need a picture off the pool and measurements.

Step-by-step explanation: I need this in order to figure out the problem and give you a helpful answer.

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3 years ago

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Which of the following functions is graphed below

yKpoI14uk [10]

Answer A because of the absolute value sign.

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3 years ago

Congruent definition

Yuliya22 [10]

When they are the exact same, like carbon copies

3 0

2 years ago

Read 2 more answers

When you multiply a function by -1, what is the effect on its graph?

Dafna1 [17]

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Answer:

B. The graph flips over the x-axis

Step-by-step explanation:

When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.

The graph flips over the x-axis.

Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.

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3 years ago