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3 years ago

Find an equation for the inverse of the following relation. y=12x-3

Mathematics

1 answer:

vovikov84 [41]3 years ago

6 0

<h3>Answer:</h3>

Your answer would be y=x+3/12

<h3>Step-by-step explanation:</h3>

Firstly, you'll switch sides of the equation.

y=12x+3 ---> x=12y-3

Next, add 3 to both sides.

x=12y-3 ---> 12y-3+3=x+3

Simplify it.

12y-3+3=x+3 ---> 12y=x+3

Then, divide both sides by 12.

12y=x+3 ---> 12y/12 = x/12 + 3/12

Simplify once more.

12y/12 = x/12 + 3/12 --- y= x+3/12

y=x+3/12 would be your answer.

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tatiyna

Answer: The answer is B

Step-by-step explanation:

3 0

3 years ago

According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage

anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

The sample is came from a population mean

Step-by-step explanation:

Step :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

mean of the sample ×⁻ = 123.59 volts

standard deviation of sample σ = 0.31 volts

Step2:-

Null hypothesis :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

Alternative hypothesis:-

H₁ : μ ≠120

level of significance:- α =0.05

Step 3:-

The test statistic

$z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }$

substitute values and simplification

$z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }$

on simplification we get the calculated value

z = 1.83

The tabulated value z =1.96 at 0.05 % level of significance

Conclusion:-

Calculated Z < The tabulated value z =1.96 at 0.05 % level of significance

so the null hypothesis is accepted

The sample is came from a population mean

4 0

3 years ago

Describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalit

Lemur [1.5K]

Answer:

Step-by-step explanation:

This is a circle with radius 2 and z = y

All points on or within the circle x2 + y2 +4 and in the plane z = y

6 0

3 years ago

What is the perimeter of a square with a length of 57 meters?

shusha [124]

Answer:

228

Step-by-step explanation:

All four sides of a square are equal.

57×4=228

3 0

2 years ago

What is the slope of a line perpendicular to the line whose equation is

olga2289 [7]

Step-by-step explanation: get 4y alone, add x to both sides, so the equation so far would be -4y=-12x. Then divide. If you do it correctly you would get y=3x.

7 0

3 years ago