Answer:
it should be 42 hope it helps
Step-by-step explanation:
Answer:
We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:
f(x) = 3*(4)^x + 45
We do not know the initial function, but with the given information we can assume that the original equation is:
g(x) = 3*(4)^x
Then the new function is:
f(x) = g(x) + 45.
This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:
k(x) = h(x) + N
if N is positive, we have a translation of N units up
if N is negative, we have a translation of N units down.
in this case we have;
f(x) = g(x) + 45
This means that f(x) is a vertical translation of 45 units of g(x), then:
the graph of the new function is 45 units above the original function.
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

Both trips had the same distance. From the information provided, we can set up the following equation:

x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:



Subtract 4x from both sides:

Divide both sides by 3 to get x by itself:

The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:

Mary lives
252 miles away from the mountains.
Answer:
See below.
Step-by-step explanation:
The form for slope intercept is y=mx+b, with m being the slope and b being the y-intercept.
In this case, 1/3 is the slope, and -2 is the y-intercept.
The following statements are true:
The line passes through (0,-2).
The line passes through the origin.
-hope it helps