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2 years ago

What is the y intercept of the function f(x) = -2/3x + 1/3

Mathematics

1 answer:

prisoha [69]2 years ago

6 0

The y intercept is 1/3.

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2 years ago

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2 years ago

Solve the system of linear equations by substitution

Bond [772]

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).

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2 years ago

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babunello [35]

Answer:

The quotient = 2x - 1 and the remainder = 4x + 2

Step-by-step explanation:

$\frac{2x^{3}+5x^{2}-7x+6}{x^{2}+3x-4}=2x+\frac{-x^{2}+x+6}{x^{2}+3x-4}$

$\frac{-x^{2}+x+6 }{x^{2}+3x-4}=-1+\frac{4x+2}{x^{2}+3x-4}$

The quotient = 2x - 1 and the remainder = 4x + 2

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2 years ago

Given f(x) = 3x + 4. Find F-1(7) Please help I’ll give you brainiest answer 100points!!!!!

Musya8 [376]

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

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2 years ago