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2 years ago

How would you describe the graph of the function in interval 2? Select all that apply.

Mathematics

1 answer:

levacccp [35]2 years ago

8 0

The graph of the function is missing and so i have attached it alongside the options.

Answer:

B & C are correct.

Step-by-step explanation:

From the attached graph, we can see that at interval 2, the line is falling down and not rising.

This means that the function is decreasing because y is decreasing while x is increasing.

Also, when both x and y are increasing, the slope is positive but when one is increasing and the other is decreasing like we have here, it means the slope is negative.

Thus, the function is decreasing and the slope is negative.

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(-3; -3) and (8-3). What is the slope

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Answer:

Step-by-step explanation:

(-3,-3) ; (8,-3)

$Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0$

Slope = 0. so, the line is parallel to x-axis

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3 years ago

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

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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,

$y=0.937x+12.765$

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3 years ago

What is the value of x

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X=11, set 10x+5x+15=180
15x+15=180, subtract 15 from 180= 165, then divide 165 by 15

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3 years ago

A group of 6 students was playing a game. Each student had a score of -90 at the end of the first round. What was the total of t

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Answer:

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Step-by-step explanation:

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2 years ago

The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.

Pie

The dance would /cost/ the school 50 dollars, making the profit -50. The dance tickets make 300, and the DJ takes away 250, making a 50 profit. However, the decorations cost 100, taking away that from 50, making -50.

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2 years ago