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natta225 [31]
3 years ago
14

I have a few questions:

Mathematics
1 answer:
inn [45]3 years ago
3 0
Hello,
Please, see the attached files.
Thanks.

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Which equation is the inverse of y=2x^2-8
shusha [124]

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

             y = 2x^{2} - 8

whereas,  y + 8 = 2x^{2}

    or              x = \sqrt{\frac{y+8}{2}}

Now, on interchanging the variable we will get the equation as follows.

               x = 2y^{2} - 8

               x + 8 = 2y^{2}

                     y = \sqrt{\frac{x+8}{2}}


4 0
3 years ago
Read 2 more answers
1. Given f(x)=2x 2 +1 and g(x)=3x-5 find the following
LenKa [72]

The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.

Here the two functions are given, f(x) and g(x).

f(x) = 2x² + 1

g(x) = 3x - 5

We have to find f-g and f(g(2)).

1) f- g

f(x) - g(x)

(2x² + 1) - ( 3x - 5)

2x² + 1 - 3x + 5

2x² - 3x + 6

2) f(g(2))

f(g(x)) = 2(3x-5)² + 1

         = 2( 9x² - 30x + 25) + 1

         = 18x² - 60x + 50 + 1

         = 18x² - 60x + 51

f(g(2)) = 18(2)² - 60(2) + 51

          =18× 4 - 120 + 51

          = 72 - 120 + 51

          = 123 - 120

          = 3

Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.

To know more about the function refer to the link given below:

brainly.com/question/11624077

#SPJ4

     

4 0
1 year ago
About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for
timama [110]

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

About 9% of the population has a particular genetic mutation.

This means that p = 0.09

900 people are randomly selected.

This means that n = 900

Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586

The standard deviation is of 8.586.

3 0
3 years ago
Which of the numbers below is less than zero? Select all that apply.
SSSSS [86.1K]

Answer:

-13 is less than zero in the options

7 0
2 years ago
Find the slope of the line passing through the points (-7, -7) and (-3, 6).
Alenkasestr [34]

Answer:

13/4 - (13,4) - however your teacher wants you to write it out.

Step-by-step explanation:

Rise (y) over Run (x)

Equation:

y2 - y1

over

x2 - x1

Inputting the numbers, 6 - -7 (aka 6+7) over -3 - -7 (aka -3+7)

6+7 = 13

-3+7 = 4

13/4 - The line is rising moving towards the right.

Hope I helped!

5 0
3 years ago
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