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Elenna [48]
2 years ago
6

What is the inverse of g(x) = X +8

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

The inverse is x-8

Step-by-step explanation:

g(x) = x+8

y = x+8

To find the inverse, exchange x and y

x = y+8

Solve for y

Subtract 8 from each side

x-8 = y+8-8

x-8 = y

The inverse is x-8

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If a diameter of a circle has endpoints (-3,5) and<br> (5, 7), then the center of the circle is
zavuch27 [327]

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

(\frac{-3+5}{2} ,\frac{5+7}{2} )

Then the center is the point :

(1 , 6)

6 0
2 years ago
Read 2 more answers
A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
Find the measure of arc AC whose inscribed angle is 62 degrees.
Marina CMI [18]
Check the picture below, that's the "inscribed angle theorem"

3 0
2 years ago
State whether the equation is true, false or open? 4y+8=6y+3
g100num [7]

<u><em>Answer:</em></u>

Open


<u><em>Explanation:</em></u>

An open equation is an equation that has variables and CAN be solved

<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2

A false equation is one where both sides can NEVER be equal

<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7

A true equation is one having no variables and both sides are ALWAYS equal

<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7


Now, the given equation is:

4y + 8 = 6y + 3

Let's try to solve is:

4y + 8 = 6y + 3

6y - 4y = 8 - 3

2y = 5

y = 2.5


Therefore, the given equation contains a variable and can be solved which means that it is an open equation


Hope this helps :)

8 0
2 years ago
Read 2 more answers
Which equation has the same solution as 2x^2+16x-10=0
dmitriy555 [2]
D
Divide the whole thing by 2
2(X^2+8x-5)
X^2+8x. =5
Half of 8 is 4 sq it so you add 16
X^2+8x+16= 5+16
(X+4)^2=21
8 0
2 years ago
Read 2 more answers
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