Question 1

Find the indicated function values.
-$f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 3 x + 3$ Find f(3).
A)63
B)18
C)66
D)45

Accepted Answer

To find $f(3)$, substitute $x = 3$ into the function: $f(3) = 3^3 + 5(3)^2 - 3(3) + 3 = 27 + 45 - 9 + 3 = 66$.

Question 2

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units.
-The graph shows the total cost y (in dollars)of owning and operating a minivan where x is the number of miles driven. 
A)$2.00 per mile
B)$21.00 per mile
C)$0.50 per mile
D)cannot be determined

Accepted Answer

To find the slope, we need to determine the rate of change of the cost (y) with respect to the miles driven (x). From the graph, we can see that for every 4 miles driven (from x = 8 to x = 12), the total cost increases by $2 (from y = $12 to y = $14). Therefore, the slope is $2/4 = $0.50 per mile. To find the slope, we need to find the change in y over the change in x. From the graph, we can see that when x increases by 100 miles, y increases by $50. Therefore, the slope (rate of change) is $50/100 miles, which simplifies to $0.50 per mile. Therefore, the answer is choice C.

Question 3

Solve the problem.
-The perimeter of the parallelogram below is 98 meters. Write a linear equation on two variables for the perimeter. Use this equation to find x when y is 10. 
A)x + 4y = 98; x = 58 m
B)x + 4y = 49; x = 18 m
C)x + 4y = 49; x = 9 m
D)x + 4y = 98; x = 9 m

Accepted Answer

The answer of Solve the problem.
-The perimeter of the parallelogram...

Question 4

Solve.
-y varies directly as x. If y = 187 when x = 17, find y when x = 13.
A)y = 121
B)y = 169
C)y = 289
D)y = 143

Accepted Answer

Using the formula for direct variation, we have:

y = kx

where k is the constant of variation.

To find the value of k, we can use the given values:

y = 187 when x = 17

187 = k(17)

k = 11

Now we can use this value of k to find the value of y when x = 13:

y = 11(13) = 143

Therefore, the answer is D, y = 143. We can use the formula for direct variation:

y = kx

where k is the constant of variation. We can solve for k by plugging in the values given:

187 = k(17)

k = 11

Now we can use this value of k to find y when x = 13:

y = 11(13) = 143

Therefore, the answer is choice D.

Question 5

Determine if the relation is also a function.
-

Accepted Answer

The answer of Determine if the relation is also a...

Question 6

Find the equation of the line. Write the equation in the form Ax + By = C.
-SlopeSlope $- \frac { 1 } { 2 }$ ; y-intercept (0, 8)
A)-2x + y = 16
B)x - 2y = 16
C)x + 2y = 16
D)2x + y = 16

Accepted Answer

The answer of Find the equation of the line. Write...

Question 7

Determine if the relation is also a function.
-{(-6, 5), (-2, -1), (3, -6), (3, -8)}

Accepted Answer

The relation is not a function because there are two ordered pairs with the same x-value (3) but different y-values (-6 and -8). In a function, each input (x-value) can only have one output (y-value). The relation is not a function because there are two ordered pairs with the same first coordinate (3), but different second coordinates (-6 and -8). In a function, each input (first coordinate) must have only one output (second coordinate).

Question 8

Determine if the relation is also a function.
-

Accepted Answer

The answer of Determine if the relation is also a...

Question 9

Determine if the relation is also a function.
-{(-3, 6), (2, -9), (4, -2), (9, -8), (10, 8)}

Accepted Answer

To check if a relation is a function, we need to make sure that for each input (x-coordinate) there is only one output (y-coordinate). In this case, there is only one y-coordinate for each x-coordinate, so the relation is indeed a function. The relation is a function because for each input (x-value), there is only one output (y-value). There are no repeating x-values with different y-values.

Question 10

Find the indicated function values.
-f(x)= 9x - 5 Find f(-4).
A)-31
B)-40
C)-16
D)-41

Accepted Answer

To find f(-4), we substitute -4 into the expression for f(x).
f(-4) = 9(-4) - 5
f(-4) = -36 - 5
f(-4) = -41
Therefore, the answer is D, f(-4) = -41.

Question 11

Solve the problem.
-The table gives the number of basic cable TV subscribers (in millions)for a certain region for the years shown. $$\begin{array} { c | c } 
\text { Year } & \text { Basic Cable TV Subscribers (in millions) } \
\hline 2000 & 0.2 \
2001 & 1.1 \
2002 & 0.7 \
2003 & 1.2 \
2004 & 1.8 \
2005 & 1.9
\end{array}$$ a. Write this data as a set of ordered pairs of the form (year, number of basic cable TV subscribers in millions). b. Create a scatter diagram of the data. Be sure to label the axes properly. 
A)(2000, 0.2), (2001, 1.1), (2002, 0.7), (2003, 1.2), (2004, 1.8), (2005, 1.9) 
B)(0.2, 2000), (1.1, 2001), (0.7, 2002), (1.2, 2003), (1.8, 2004), (1.9, 2005)

Accepted Answer

The answer of Solve the problem.
-The table gives the number...

Question 12

Solve.
-x varies inversely as y2. If x = 6 when y = 6, find x when y = 2.
A)x = 3
B)x = 54
C)x = 24
D)x = 108

Accepted Answer

Using the inverse variation formula, we have:
x ∝ 1/y^2
x = k/y^2  (where k is the constant of proportionality)
To find k, we can use the values given:
x = 6 when y = 6
6 = k/6^2
k = 216
Now we can use k to find x when y = 2:
x = 216/2^2
x = 54. Using the inverse variation formula, we have:
x = k/y^2
where k is a constant of variation. Plugging in the given values, we get:
6 = k/6^2
k = 216
So the equation is:
x = 216/y^2
To find x when y = 2, we plug in y = 2 and solve:
x = 216/2^2 = 54
Therefore, the answer is choice B, x = 54.

Quiz 10: Graphing Equations and Inequalities

Find the indicated function values. - $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 3 x + 3$ Find f(3) .

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. -The graph shows the total cost y (in dollars) of owning and operating a minivan where x is the number of miles driven.

Solve the problem. -The perimeter of the parallelogram below is 98 meters. Write a linear equation on two variables for the perimeter. Use this equation to find x when y is 10.

Solve. -y varies directly as x. If y = 187 when x = 17, find y when x = 13.

Determine if the relation is also a function. -

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope $- \frac { 1 } { 2 }$ ; y-intercept (0, 8)

Determine if the relation is also a function. -{(-6, 5), (-2, -1), (3, -6), (3, -8)}

Determine if the relation is also a function. -

Determine if the relation is also a function. -{(-3, 6), (2, -9), (4, -2), (9, -8), (10, 8)}

Find the indicated function values. -f(x) = 9x - 5 Find f(-4) .

Solve. -x varies inversely as y2. If x = 6 when y = 6, find x when y = 2.

Quiz 10: Graphing Equations and Inequalities

Find the indicated function values. - f(x) =x3+5x2−3x+3f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 3 x + 3f(x) =x3+5x2−3x+3 Find f(3) .

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. -The graph shows the total cost y (in dollars) of owning and operating a minivan where x is the number of miles driven.

Solve the problem. -The perimeter of the parallelogram below is 98 meters. Write a linear equation on two variables for the perimeter. Use this equation to find x when y is 10.

Solve. -y varies directly as x. If y = 187 when x = 17, find y when x = 13.

Determine if the relation is also a function. -

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope −12- \frac { 1 } { 2 }−21​ ; y-intercept (0, 8)

Determine if the relation is also a function. -{(-6, 5), (-2, -1), (3, -6), (3, -8)}

Determine if the relation is also a function. -

Determine if the relation is also a function. -{(-3, 6), (2, -9), (4, -2), (9, -8), (10, 8)}

Find the indicated function values. -f(x) = 9x - 5 Find f(-4) .

Solve. -x varies inversely as y2. If x = 6 when y = 6, find x when y = 2.

Find the indicated function values. - $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } - 3 x + 3$ Find f(3) .

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope $- \frac { 1 } { 2 }$ ; y-intercept (0, 8)