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3 years ago

Item: The function f(x) is graphed below.

Mathematics

2 answers:

Burka [1]3 years ago

8 0

The answer is one, because when x is 2, y is 1

n200080 [17]3 years ago

5 0

Answer:

f(2) = 1.

Step-by-step explanation:

Given : Graph.

To find : Use the graph of the function to find, f(2).

Solution : We have given that graph

For x = 2 we can see in graph value of y is 1

Therefore, f(2) = 1.

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A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

Usimov [2.4K]

12 cubes of 1/4
Simply do 3 ><4=12 so 12 1/r cubes

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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

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

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an

Harrizon [31]

Answer:

$x^{1}$ wives

$x^{2}$ sacks

$x^{3}$ cats

$x^{4}$ kits

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St .Ives.

Step-by-step explanation:

$x^{1}$ wives

If each of the "x" wives has "x" sacks, so the number of sacks is:

$x^{2}$ sacks

If each of the "x" wives has "x" sacks, and each sack has "x" cats, so the number of cats is:

$x^{3}$ cats

If each of the "x" wives has "x" sacks, and each sack has "x" cats, and each cat has "x" kits, so the number of kits is:

$x^{4}$ kits

8 0

2 years ago

Solve for x x squared plus 4X minus 21 equals 0

suter [353]

Answer:

x = -7 and x = 3

Step-by-step explanation:

x² + 4x - 21 = 0 factors as follows: (x + 7)(x - 3) = 0.

Then x = -7 and x = 3.

3 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP IF YOU KNOW!! THANK YOU

Vladimir [108]

I'm guessing this is what the question is asking?

5 0

3 years ago