Answer:3. B 4. B
Step-by-step explanation:3. Supplementary equals 180, 113 + 67 = 180
Answer:
The result is 1/8
Step-by-step explanation:
What you do is simplify the fractions, like I did in the picture:
sorry, I couldn't crop it in any other way.
I hope it helped!
Answer:
≈ 9.4 cm
Step-by-step explanation:
P(-4, -2), Q(4,3)
d= √(x2-x1)²+(y2-y1)²=√ (4+4)²+(3+2)²= √64+25 = √89 ≈ 9.4 cm
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].
__
<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
Answer:
i farted it tickled
Step-by-step explanation:
my but cheaks wiggled