Answer:6 17/18 hours
Step-by-step explanation:
We are informed that on Monday Katie spent 2 1/6 hours studying while onn Tuesday she spent another 4 7/9 hours studying.
The combined length of time she spent studying will be the addition of the numbers of hours spent studying on Monday and Tuesday. This will be:
= 2 1/6 + 4 7/9
= 2 3/18 + 4 14/18
= 6 17/18
She used a total of 6 17/18 hours studying
Answer:
We have to determine the graph of the given inequality as:

on solving this equation we get:

Since we know that:

Now we know that when
the value of:

Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.
Hence, range of the function in intervals could be written as:
(-∞,-1)∪(-1,∞).
Hence, the graph of the function will be the whole of the number line with a open circle on -1.
It should be 10, when there is a double negative the signs become positive
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!
Answer:
-24
Step-by-step explanation:
multiply, the sign of the product is the sign of the larger number