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zhenek [66]
3 years ago
13

Jocelyn writes the equation of a line that passes through the point (4,0) and that is perpendicular to the line y= -2X + 1. IF J

ocelyn write her equation in the form y= MX +B, what is the value of B?
Mathematics
1 answer:
raketka [301]3 years ago
6 0
Y = 2x - 8 
I used a graphing calculator to figure it out.
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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
Use the diagram to answer the question.
Firlakuza [10]
D.Q (3,0)
I think
Sorry if wrong
But I am not sure!
8 0
3 years ago
Consider the words typically associated with geometry. Are there any words that would be hard to precisely define? What words ca
Dahasolnce [82]

Answer:

point, line, plane

Step-by-step explanation:

none of these can be defined exactly  

3 0
2 years ago
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I need help, please! ASAP.
dmitriy555 [2]

Answer:

Formula for percent change is C = {x_2 - x_1}/{x_1}  

C = relative change

x_1 = initial value

x_2 = final value

Step-by-step explanation:

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3 years ago
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Name the two lines and the transversal that form each pair of angles
Crank
A is a line that intersects two coplanar lines at two distinct points. The diagram shows the eight angles formed by <span>a transversal t and two lines / and m.
</span>A transversal that intersects two lines forms eight angles;Corresponding angles,Alternate exterior angles, Alternate interior angles,Consecutive exterior angles, Consecutive interior angles.

Hope it helps
3 0
3 years ago
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