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2 years ago

HELP; PLZZZ GIVING 20 BRAINLIEST PLZZZ.

Mathematics

1 answer:

Andrew [12]2 years ago

6 0

Answer:

Step-by-step explanation:

In the equation y=kx+1, k is the slope and 1 is the y-intercept.

To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0

k=2/1

k=2

We now have the equation y=2x+1.

The next step is to graph the line.

First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)

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Then, use the slope to find your second point: (the point is on (1, 3)).

| *

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Draw a line through those two points and you have your answer!

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1/5

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3 years ago

Femi drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Kehinde, drove 225 miles from her c

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3 years ago

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

And we want to determine the value of:

$\displaystyle f^{-1}(225)$

Let this value equal a. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for a:

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

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3 years ago