What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 equal slices?
1 answer:
You might be interested in
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:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,
It is given that Victor has 42 more tools than Ilya.
Solve the above equation.
Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,
Hence, Victor gives 28 tools to IIya.