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3 years ago

Giving brainliest!!

Mathematics

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

Gah! Inverses!

Step-by-step explanation:

This is a pretty simple concept, just switch the x and f(x) values!

If you don't understand, look at how I solve it!

$f(x)=\frac{1}{3} -\frac{1}{21} x$

Switching the positions of the x and f(x) values...

$x=\frac{1}{3} -\frac{1}{21} f(x)^{-1}\\$

Note: That f(x)^-1 is the proper notation for inverse functions.

$x-\frac{1}{3} =-\frac{1}{21} f(x)^{-1} \\f(x)^{-1}=-21x+7$

There you go!

Hope this helps, and don't procrastinate!

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Divide (3x^3 + x2 – 4) by (x + 2).

OLga [1]

Answer:

$(x+2)(3x^3-5x-10)$

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

6 0

2 years ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Help please I'll give brainliest and a vote!!!

fredd [130]

Answer:

Quality Plumbing charges more per hour.

In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.

A Plus Plumbing charges $140 for their work plus $60 per hour.

7 0

3 years ago

A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the sc

love history [14]

Answer:

x = 18

Step-by-step explanation:

$\frac{8}{12} = \frac{12}{x}$

then cross-multiply

8x = 12 * 12

8x = 144

$\frac{8x}{8} = \frac{144}{8}$

x = 18

5 0

3 years ago

Reba needs to simplify the expression below.

lawyer [7]

Answer:

6.5

Step-by-step explanation:

6.5+(3.5*2)-7/3

6.5+(7-7)/3

6.5+0/3

6.5+0

6.5

5 0

3 years ago