Mathematics, 11.03.2021 17:30 cxttiemsp021
Question 1 (6 points)
Select the interval(s) where the function f(x)=2x3−3x2−12x+20 is only increasing.
Question 1 options:
−∞ < x < ∞
0 < x < ∞
−2.5 < x <∞
−1 < x < 2
2 < x < ∞
−∞ < x < −1
Question 2 (6 points)
Select the interval(s) where the function f(x)=x3+4x2+1 is only increasing.
Question 2 options:
−2.7 < x< 1.8
0 < x < 4
−∞
−∞< x < 0
0 < x < ∞
1.8 < x < ∞
Question 3 (3 points)
Identify the interval where the graph is only decreasing.
Question 3 options:
(−2, 1)
(−3, 2)
(−3, −1)
(−4, 2)
Question 4 (3 points)
What is the apparent solution set to the system of equations:
Question 4 options:
{(1.5, 2.5), (3, 2)}
{(−3, 2), (1.5, −3)}
{(−2, −3), (2.5, −1.5)}
{(−2.5, 1.5), (2, −3)}
Question 5 (3 points)
Saved
What are the apparent solutions to the system of equations:
Question 5 options:
{(−4, 3), (−1, 0)}
{(−5, 0), (−313, 0), (−1, 0)}
{(−3, 4), (−2, −2)}
{(0, −5), (0, 5)}
Question 6 (3 points)
Saved
Given f(x)=3x−4 and g(x)=x2−3, find (g ∘ f)(x).
Question 6 options:
9x2+13
3x2−13
9x2−24x+19
9x2−24x+13
Question 7 (3 points)
What are the x-coordinates to the solutions of the system of equations: {x+y+10=0x2+y−2=0
Question 7 options:
x = -3, -7
x = 4, 14
x = -3, 4
x = -4, 3
Question 8 (6 points)
What are the y-coordinates for the solution to the system of equations: {y−x2+9x−6=0y−x+3=0
Make sure to select all the correct answers.
Question 8 options:
9
1
8
6
-3
-9
-2
2
Question 9 (3 points)
Question 9 options:
Given f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3).
Type final answer only in the blank.
Question 10 (3 points)
Question 10 options:
Given f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).
Type answer only in the box.
Answers: 3
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Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.
Answers: 3
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In triangle abc, angle c is a right angle. find the value of the trig function indicated. find tan a if c = 17 and a = 8
Answers: 3
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Gray looks up the definition of point. a point is a location in a region. what is true about the statement describing the word point? 1. the statement uses the terms location and region that are defined based on an understanding of a point. 2.the statement precisely defines the concept of a point. 3. the statement does not include information needed to fully define a point. 4. the statement is an incorrect description of a point because it does not use mathematical words.
Answers: 2
Question 1 (6 points)
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