Answer: 91
Step-by-step explanation:
95 - 4 (That he gave to Harry) = 91
Hope this helped!
Answer:

Step-by-step explanation:
<u><em>Given equation is</em></u>

Adding 42 to both sides

Completing squares

Adding (3)² => 9 and (3)² => 9 to both sides

Comparing it with
where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = 
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Answer: 135 miles
Step-by-step explanation: If you go 70 miles in ones hour, then you’ll go 140 miles in 2 hours. Then it took 6 minutes longer because of traffic, and in traffic he drove 1 mile excluding 5 because he was 5 mph slower.
Answer:
length = 14 feet
width = 6 feet
Step-by-step explanation:
A = 84 feet square
ratio of length and width = 7 : 3
total ratio of length and width 10 = a
length = (7/10)a
width = (3/10)a
A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84
a² = 84 x 100 : 21 = 400
a = 20 feet
length = 7/10 x 20 = 14 feet
width = 3/10 x 20 = 6 feet