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DanielleElmas [232]
2 years ago
9

Find the inverse function y=-5x+20

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

y= \frac{-1}{5} x +4

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\

\frac{y}{-5}-\frac{20}{-5}  = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x

And now we change the variables and we get the inverse function:

y= \frac{-1}{5} x +4

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Please solve and graph each inequality x-7<-12
Keith_Richards [23]

For this case we must resolve the following inequality:

x-7

Adding 7 to both sides of the inequality:

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Different signs are subtracted and the major sign is placed.

x

Thus, the solution is given by all the values of "x" less than -5.

The solution set is: (-∞, - 5)

Answer:

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3 0
3 years ago
Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.
mr Goodwill [35]

Answer:

B. (-2,-4)

Explanation

Given equations:

   y = 3x + 2

   y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

    3x + 2 = -2x - 8

Collect like terms and solve;

     3x + 2x = -8 -2

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            x  = -2

Then put x = -2 into i, to find y

      y = (-2 x 3) + 2

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So, the solution of the equation is B. (-2,-4)

6 0
2 years ago
Estimate the perimeter of the figure to the nearest whole number.
Brrunno [24]

Answer:

<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>

Step-by-step explanation:

Clockwise, starting from the base of the pentagon, we have:

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  • 2nd side ≅ 3.75 units
  • 3rd side ≅ 3.75 units
  • 4th side ≅ 3.75 units
  • 5th side ≅ 3.75 units

In consequence,

Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75

<u>Perimeter of the pentagon ≅ 19 units</u>

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Answer:

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Step-by-step explanation:

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