Let the number be x. The other number is also x.
Given the first number is 24.6 and sum is -44.85
24.6 + x + x = -44.85
Combine like terms:
2x + 24.6 = -44.85
Add 24.6 on both sides:
2x = -44.85 - 24.6
Evaluate Right Hand Side:
2x = -69.45
Divide both sides by 2:
x =- 34.725
Answer: The two numbers are both -34.725.
Answer: 6.25 yards
Step-by-step explanation:
75 inches = 4 bows
To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.
75*3 is 225.
225 inches = 12 bows
225 inches is 6.25 yards. Hope this helps :)
Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y =
+ 2 will be translated 2 units up from the graph of y =
.
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the
, which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y =
- 2 will be translated 2 units down from the graph of y =
.
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the
, which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2
is a stretched version of the graph y =
. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y =
is a compressed version of the graph y =
. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Answer:
C. 
General Formulas and Concepts:
<u>Calculus</u>
- Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that

- MVT is also Average Value
Step-by-step explanation:
<u>Step 1: Define</u>

f'(c) = 20
Interval [1, b]
<u>Step 2: Check/Identify</u>
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that 
<u>Step 3: Mean Value Theorem</u>
- Substitute:

- Rewrite:

And we have our final answer!