No, they are not equivalent.
5(2x - y) = 10x - 5y and it is not equal to 15x - 5y.
(using distribution property)
2 Answers: Choice B and Choice C
The rate of change is 2.
The rate of change is constant.
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Explanation:
The first point on the left is when x = 1.5 and it has a height of y = 1
The point (1.5, 1) is on the line.
So is the point (3,4) for similar reasoning.
Compute the slope between those points
m = (y2-y1)/(x2-x1)
m = (4-1)/(3-1.5)
m = 3/(1.5)
m = 2
The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3 is a part of.
Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.
Step-by-step explanation:
3(t+5) = 9
3t+15 = 9
3t = -6
t = -2
2(f-7) = -10
2f - 14 = -10
2f = 4
f = 2
-(c - 9) = 4
-c + 9 = 4
-c = -5
c = 5
-6(2t + 8) = -84
-12t - 48 = -84
-12t = -36
12t = 36
t = 3
-10 (s + 2) = -57
-10s - 20 = -57
-10s = -37
s = 3.7
7(3w + 8)/3 = -9
By cross multiplication,
7(3w + 8) = -27
21w + 56 = -27
21w = -83
w = -3.95
35/5 = (F - 32)/9
7 = (F - 32)/9
By cross multiplication,
63 = F - 32
63 + 32 = F
95 = F
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
Answer: A
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The possible values of y are [-infinity,4], so the answer is A
