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3 years ago

What is the inverse of the following function?

Mathematics

1 answer:

igomit [66]3 years ago

3 0

If they are just looking for the “inverse” which means flip it it’ll be 5radical (which the the v shape looking bar) x-4 = h(x)

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Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

Answer-

The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .

Solution-

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago

Two consecutive whole numbers such that the sum of their squares is 13

valina [46]

The square root of 169 is 13 and 170 is 13.03

5 0

3 years ago

Solve the compound inequality: 4 < 3x – 1 < 20

Nataliya [291]

Answer:

x = (5/3 , 7)

Step-by-step explanation:

4 0

3 years ago

Evaluate the expression 4(2x + 3) + 2(x + 1)-7

Svetlanka [38]

4 (2x + 3) + 2 (x + 1) - 7

8x + 12 + 2x + 2 - 7

10x + 7

10x = -7
10x/10 = -7/10

x = -7/10

hope this helps

4 0

3 years ago

Can you help me with number 5?

Verizon [17]

We can divide that up into two rectangles, say the bottom one 8 feet wide and 2 feet high. That leaves 5.5 by 6-2=4 feet for the other.

Cost = price × area = 2.25(8×2 + 5.5×4) = $85.50

Answer: $85.50

5 0

3 years ago