Answer:
Initial value 
, rate of change: 
Step-by-step explanation:
Step 1
Find the rate of change
we know that
In a linear equation the rate of change is equal to the slope
The formula to calculate the slope between two points is equal to
we have
Substitute the values
----> rate of change
Step 2
Find the initial value
The equation of the line into slope-point form is equal to
Substitute
The initial value is the value of y when the value of x is equal to zero (is the y-intercept)
----> initial value
Answer:
A
Step-by-step explanation:
We are given two rational functions m(x) and n(x) that have the same vertical asymptotes both with a single x-intercept at x = 5.
The correct choice will be A.
Recall the transformations of functions.
B represents m(x) being shifted up 5 units. If the function is shifted up, the vertical asymptotes will be the same, but the x-intercept will change.
C represents m(x) being shifted 5 units to the right. This changes both the x-intercept and the vertical asymptotes.
Likewise, D represents m(x) being shifted 5 units to the left. Again, this will change both the x-intercept and the vertical asymptotes.
Therefore, the only choice left is A. It represents a vertical stretch by a factor of 5. This preserves the x-intercepts and the vertical asymptotes. Consider the function:
If n(x)=5m(x), we can see that:
So, the x-interceps and vertical asymptotes are preserved.
Answer:
Step-by-step explanation:
A complete circle has 360 degrees
So
300 + 32 + b = 360 Combine the left
332 + b = 360 Subtract 332 from both sides
b = 360 - 332
b = 28
Answer:
q^12
Step-by-step explanation:
To solve, multiply the exponents
Answer:
14,180 feet
Step-by-step explanation:
