Compare the functions shown below:f(x)
x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64
g(x)
linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2
What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?
Answers
ARC = (y2 -y1) / (x2 - x1)
For the first function:
ARC = (64 - 0) / (4 - 0) = 16
For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5
For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12
Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)
Answer:
the answer for my flvs students is g(x), h(x), f(x)
Step-by-step explanation:
i just took the test
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Write –13.3 as a mixed number.
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1,5)? What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to heline whose equation is 4x + y - 2 = 0? Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.
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Answers
-4 + 6 = 2
0 + 2 = 2
4 + 2 = 6
-4 + -6 = -10
0 + 2 = 2
4 + 2 = 6
-4 + 6 = 2
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4 + -2 = 2
The solutions (without repeating pairs) are:
(-4, 6), (0, 2), (4, -2)
Answer:
C: (-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
b) 13.75
c) -0.6
d) -3.75
Answers
2(-3.5) - 5y = 10
-7 - 5y = 10
+7 +7
-5y = 17
-5 -5
y = -3.4
The value of y is equal to A. -3.4.
Answers
a(b+c)=ab+ac or
a(b-c)=ab-ac
so
3(q-5)=3q-15
2(q+5)=2q+10
3q-15=2q+10
minus 2q from both sides
q-15=10
add 15 to both sides
q=25
Answers
we know that
the equation of the line in the slope-y intercept form is equal to
where
m is the slope of the line
b is the y-intercept of the line---> (Remember that the y-intercept is the value of y when the value of x is equal to zero)
In this problem we have
so
therefore
the answer is
The slope of the line is equal to
Answer:
the Slope of line, y = x - 3 is 1.
Step-by-step explanation:
Given equation of line, y = x - 3
To find: Slope of the line.
we have many forms of equation of line, but this resembles with slope-intercept form.
The standard form of Slop-Intercept form is given by y = m.x - c
where, m is slope of the line and c is the y-intercept of line
Therefore, By comparing given equation of line with standard form of Slope-Intercept form of line. we get,
m = 1.
So, the Slope of line, y = x - 3 is 1.
Answers
Answer: 460 dvds
Step-by-step explanation:
Since the total is 2300 dvds and 20% (0.2) is country music. You can do 2300 x 0.2. You will get 460 dvds.
Answers
Last night, 80 people attended a lecture at the Smithville Public Library. 47 of the attendees were men. What ratio BEST represents the relationship between the number of men and the number of women?
Given:
80 people
47 were men
80-47 = 33 number of women.
Number of men : 47
Number of women : 33
Ratio that best represents the relationship between the number of men and the number of women is 47 : 33.