Answer:
A. A horizontal shift to the right 7.5 units
Step-by-step explanation:
Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.
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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.
<span>Perimeter =2w+2L= 520.
We can solve this by understanding that the area is maximized by a square
Therefore L=w.
p=2w+2w=520=4w
w=130
Area
A=wL=130(130)= 16900 square yards</span>
Well, we can find the answer by multiplying the two fractions. 3/4*1/8 equals 3/32.
Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
<h3>How to model the salary growth?</h3>
The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
Read more about exponential functions at:
brainly.com/question/11464095
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Answer choices</u>
A. The equation represents a proportional relationship.
- TRUE, it is in the form of y = kx
B. The unit rate of change of y with respect to x is 8.5
- TRUE, y = mx + b, the slope m = 8.5 is the rate of change
C. The slope of the line is 2/17
D. A change of 17 units in x results in a change of 2 units in y.
- False, a change of x = 17 results in 17*8.5 = 144.5 units in y
E. A change of 4 units in x results in a change of 34 units in y.
