Functions Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Find the output of the function y=−3x−7 when the input is −5 . (1 point) The correct output is . Skip to navigation page 22 of 23 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
guess
To find the output of the function y = -3x - 7 when the input is -5, substitute -5 for x in the function and solve for y.
y = -3(-5) - 7
y = 15 - 7
y = 8
The correct output is 8.
Functions Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Find the value of the function y=3x2−21 when x=4 .(1 point) y= . Skip to navigation page 22 of 23 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again. Formula keypad has been closed. Press Control + Backslash to open it again.
To find the value of the function y = 3x^2 - 21 when x = 4, substitute 4 for x in the function and solve for y.
y = 3(4^2) - 21
y = 3(16) - 21
y = 48 - 21
y = 27
The value of the function y = 3x^2 - 21 when x = 4 is 27.
Functions Practice Complete this assessment to review what you've learned. It will not count toward your grade. 4 of 54 of 5 Items Question Determine if the function y=x5−13, x≠0, is a linear or nonlinear function. Enter 1 if the function is linear. Enter 2 if the function is nonlinear.(1 point) Skip to navigation page 22 of 23 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again. Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
The given function y = x^5 - 13 is a nonlinear function.
To determine if a function is linear or nonlinear, we examine the power of the variable. In this case, the power of x is 5, which is greater than 1. Therefore, the function is nonlinear.
Enter 2 if the function is nonlinear.
Graph of a Function Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Determine if (3,0.75) is a point on the graph of the function y=0.75x−1.5 . Enter 1 for yes. Enter 2 for no.(1 point) Skip to navigation page 23 of 24
To determine if (3, 0.75) is a point on the graph of the function y = 0.75x - 1.5, substitute x = 3 into the equation and see if it satisfies the equation.
y = 0.75(3) - 1.5
y = 2.25 - 1.5
y = 0.75
Since the calculated value of y is 0.75, which matches the y-coordinate in the given point (3, 0.75), we can conclude that (3, 0.75) is a point on the graph of the function.
Enter 1 for yes.
Graph of a Function Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Use the image to answer the question. Determine if the given graph is the graph of the function y=x−1 . Enter 1 for yes. Enter 2 for no. (1 point) Skip to navigation page 23 of 24 Formula keypad has been closed. Press Control + Backslash to open it again.
I'm sorry, but without the image, I am unable to determine if the given graph is the graph of the function y = x - 1. Please provide the image or describe the graph to assist further.
Graph of a Function Practice Complete this assessment to review what you've learned. It will not count toward your grade. 4 of 54 of 5 Items Question Use the image to answer the question. The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell? (1 point) To achieve the maximum profit per product sold, this business will need to sell products. Skip to navigation page 23 of 24 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again. Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Without the image or further description of the graph, it is not possible to determine how many products the business needs to sell to achieve the maximum profit per product sold. Please provide more information or the image of the graph so that I can assist you further.
Without any specific information or image provided, I am unable to make a guess about the number of products the business needs to sell to achieve the maximum profit per product sold. Please provide more details or the image of the graph for me to assist you further.
Graph of a Function Practice Complete this assessment to review what you've learned. It will not count toward your grade. 5 of 55 of 5 Items Question Liem orders a large pizza. The pizza store charges $11.00 for the pizza with cheese and $1.50 for each additional topping. The mathematical equation for the function is y=11+1.5x, with x representing the number of additional toppings and y representing the total price of the pizza. What is the cost of a large pizza with 3 toppings?(1 point) $__
To find the cost of a large pizza with 3 toppings, we can substitute x = 3 into the function y = 11 + 1.5x and solve for y.
y = 11 + 1.5(3)
y = 11 + 4.5
y = 15.50
The cost of a large pizza with 3 toppings is $15.50.
Graph of a Function Quick Check 1 of 51 of 5 Items Question Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?(1 point) Responses (−1,−3) left parenthesis negative 1 comma negative 3 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (−1,−5) left parenthesis negative 1 comma negative 5 right parenthesis (1,2) left parenthesis 1 comma 2 right parenthesis
To determine which of the given points is on the graph of the function y = (2x + 1)^2 - 4, we need to substitute the x-value and check if it matches the corresponding y-value.
Let's check each of the given points:
1. Point (-1, -3):
y = (2(-1) + 1)^2 - 4
y = (-1 + 1)^2 - 4
y = 0^2 - 4
y = 0 - 4
y = -4
The calculated y-value is -4, but the given point has a y-value of -3. This point does not match the function.
2. Point (0, -2):
y = (2(0) + 1)^2 - 4
y = (0 + 1)^2 - 4
y = 1^2 - 4
y = 1 - 4
y = -3
The calculated y-value is -3, which matches the given point. This point is on the graph of the function.
3. Point (-1, -5):
y = (2(-1) + 1)^2 - 4
y = (-2 + 1)^2 - 4
y = (-1)^2 - 4
y = 1 - 4
y = -3
The calculated y-value is -3, but the given point has a y-value of -5. This point does not match the function.
4. Point (1, 2):
y = (2(1) + 1)^2 - 4
y = (2 + 1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
The calculated y-value is 5, but the given point has a y-value of 2. This point does not match the function.
Based on the calculations, the only point that is on the graph of the function is (0, -2).
Therefore, the correct response is (0, -2).
Graph of a Function Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let y equal the amount Victoria gets paid per week and x equal the number of hours she works per week. Given that the graph shows the set of all solutions, what is the mathematical equation that explains the function? (1 point) Responses y=20x y equals 20 x y=100x+20x y equals 100 x plus 20 x y=100+20x y equals 100 plus 20 x y=100x y equals 100 x
Based on the given information, Victoria gets paid a flat rate of $100 each week, as well as an additional $20 per hour. Therefore, the mathematical equation that explains the function is:
y = 100 + 20x
In this equation, y represents the amount Victoria gets paid per week, and x represents the number of hours she works per week.
So, the correct response is y = 100 + 20x.