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san4es73 [151]
3 years ago
14

If g(x) = 3x - 4, what is the value of g-¹ (g(13))?​

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

g^-1(g(13)) = 13

Step-by-step explanation:

Step 1: Solve g(13)

g(13) = 3(13) - 4

g(13) = 35

Step 2: Solve g^-1(35)

g^-1(35) = 35 = 3x - 4

39 = 3x

x = 13

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Shalnov [3]

Step-by-step explanation:

Using pythagoras theorem

9^2 - 6^2 = x^2

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5 0
3 years ago
15a-25=35
noname [10]
15a-25=35
3.333

Leah needs to buy some apples from the grocery store. She places fifteen apples in her cart and proceeds to the checkout. Lucky for her, there happens to be a discount on apples for the day. She saves $25 on her purchase. The total money she ends up spending was only $35 (excluding tax). How much did each apple cost?
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katrin2010 [14]
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6 0
3 years ago
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo
Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

       Sr = 0.616

The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

        df = 12

The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

        SE  =0.1779

The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

        t =  3.654

The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

6 0
3 years ago
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