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Alona [7]
3 years ago
5

Find the inverse of the equation y=x2+3

Mathematics
2 answers:
Veronika [31]3 years ago
5 0

Answer:

 -1

f     (x)  = sqrt(x - 3)

Step-by-step explanation:

Hope you won't mind the correction, but that's y = x^2 + 3.  Use " ^ " to indicate exponentiation.

Starting with y = x^2 + 3, interchange x and y:

x = y^2 + 3

Next, solve for y:  y^2 = x - 3, or y = +sqrt(x - 3).

Note that we'd normally write "plus or minus sqrt(x - 3)," but that would provide two y values for each x value (which violates the definition of "function').

Finally, replace "y" with the inverse function label:

 -1

f     (x)  = sqrt(x - 3)

Step2247 [10]3 years ago
3 0

y = the square root of (x-3)

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Point t is the MIDPOINT of point SV. find the location of V!
Arada [10]

Answer:

-1.5

Step-by-step explanation:

The distance between S and T is

4 - -7

4+7 = 11

Divide this in half to find the midpoint

11/2 = 5.5

Add this to point S to get the point itself

-7 + 5.5 = -1.5

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3 years ago
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A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i
sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired <em>t</em>-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The incentive program does not cuts down on the number of days missed by employees, i.e. <em>d</em> ≥ 0.

<em>Hₐ</em>: The incentive program cuts down on the number of days missed by employees, i.e. <em>d</em> < 0.

From the information provided the data computed is as follows:

 n=10\\\bar d=-1.1\\SD_{d}=2.99

Compute the test statistic value as follows:

 t=\frac{\bar d}{SD_{d}/\sqrt{n}}

   =\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

p-value=P(t_{n-1}

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

4 0
3 years ago
A pipe is leaking and 1.5 cups per day about how many gallons per week is the pipe leaking
MatroZZZ [7]
The question asks per week. So 1.5 cups times 7 days is 10.5 cups. 

<span>The pipe leaks </span>10.5 cups<span> every week.</span>
7 0
3 years ago
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Convert 0.000064 to scientific notation
svetoff [14.1K]
The answer is 6.4×<span>10<span>−<span>5</span></span></span>
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Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
2 years ago
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