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3 years ago

What is the inverse function of f(x) = (x+4)/(x-2) ?

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

Answer:

−

(

)

−

Step-by-step explanation:

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21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$

Step 2 of 2

Find the slope of first line.

$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$

And

$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$

Since, both slopes are reciprocal of each other.

Therefore, the lines are perpendicular.

6 0

2 years ago

Is 5/11 closer to 0, 1, 1/2

Levart [38]

Answer:

If your rounding up, its 1/2

Step-by-step explanation:

6 0

3 years ago

A cook has 11 7/8 cups of flour. He uses 2/3 of his flour on Saturday morning. Estimate how many cups he used. Show how you esti

ziro4ka [17]

Answer:

11 (if you wanna know how many cups [which i mean by 2/3] it is 1)

Step-by-step explanation:

Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)

Hope it helped...

4 0

3 years ago

Read 2 more answers

If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.

Finger [1]

Answer:

-2.25

Step-by-step explanation:

9(1-x) = 27Y

9-9x =27y

-9x -27y = -9 multiply all terms by -1

9x +27y =9 equation (1)

x-y= -11/2 equation (2)

by solving 2 equations

x= -3.875

y= 1.625

∴ x+ y = 1.625 +(-3.875) = -2.25

5 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-9, 8) and (−21,10)

rosijanka [135]

Answer:

-1/6

Step-by-step explanation:

(10 - 8)/(-21 + 9)= 12/-12= -1

y - 8 = -1(x + 9)

y - 8 = -x - 9

y = -x - 1

3 0

2 years ago

Read 2 more answers