Answer:
68
Step-by-step explanation:
12 + 5 = 17
17 x 4 = 68
Andrea's monthly allowance is $68.
You must earn 243 points to have earned 93% of all possible points.
We first multiply each percentage on the previous tests by 150:
0.88*150 = 132
0.94*150 = 141
0.9*150 = 135
The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700
93% of the 700 points would be 0.93(700) = 651 points.
Now we have 132+141+135+x (last test) = 651
408 + x = 651
Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
<h3>Part A</h3>
A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
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<h3>Part B</h3>
As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
__
<h3>Part C</h3>
The end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1
refer the attachment for your answer !!
Answer:
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