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N76 [4]
2 years ago
13

If f(x) = -3x+1 then f^-1(x) =

Mathematics
1 answer:
elena55 [62]2 years ago
8 0

Answer:

please mark me brainliesf if it helps you

f(x) = -3x+1

or, y = -3x + 1

Interchanging the position of x and y, we get,

x = -3y +1

or, 3y = 1 - x

or, y = 1 - x /3

: . f^-1(x) = 1-x / 3

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The formula for the perimeter of a rectangle is P = 2L + 2W. The length of a rectangle is 3 times its width. Which expression re
omeli [17]

The perimeter of a rectangle is given by the following formula:     P = 2W + 2L

To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).

     P = 2W + 2L

          subtract 2L from both sides of the equation

     P - 2L = 2W + 2L - 2L

     P - 2L = 2W

           divide both sides of the equation by 2

     (P - 2L)/2 = (2W)/2

     (P - 2L)/2 = (2/2)W

     (P - 2L)/2 = (1)W

     (P - 2L)/2 = W

Thus, given that the perimeter (P) of a rectangle is defined by    P = 2W + 2L ,

   then its width (W) is given by    <span>W = (P - 2L)/2</span>

3 0
3 years ago
The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
bearhunter [10]

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

5 0
3 years ago
Please help is needed urgently! 8th grade math question?!
AURORKA [14]

ratio of the diagonal to the side of the rectangle is 17/8 or 17:8

Step-by-step explanation:

Length of Diagonal = 34 inches

Length of side = 16 inches

Base= 30 inches

We need to find the ratio of the diagonal to the side of the rectangle.

ratio of the diagonal to the side of the rectangle = \frac{length of diagonal}{length of side}

Putting values:

Ratio=\frac{34}{16} \\Simplifying:\\Ratio=\frac{17}{8}

So, ratio of the diagonal to the side of the rectangle is 17/8 or 17:8

Keywords: ratio

Learn more about ratio at:

  • brainly.com/question/10764770
  • brainly.com/question/4302397
  • brainly.com/question/4713715

#learnwithBrainly

6 0
3 years ago
Mapping diagram: Is it a function? (yes /<br> no<br> ) Why or why not?
sashaice [31]
<h3>It is a function</h3>

Why? Because each input maps to <u>exactly one</u> output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

5 0
2 years ago
Subtract.<br> (6x + 5) - (x+3)
Roman55 [17]

(6x+5)-(x+3).

6x+5-x-3.

Add the like terms.

6x-x+5-3.

We get.

5x+2.

6 0
3 years ago
Read 2 more answers
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