For Exercises 95–98, determine whether the statement is true or false. If a statement is false, explain why. ∑ i = 1 n a i b i = ∑ i = 1 n a i ∑ i = 1 n b i
For Exercises 95–98, determine whether the statement is true or false. If a statement is false, explain why. ∑ i = 1 n a i b i = ∑ i = 1 n a i ∑ i = 1 n b i
Solution Summary: The author analyzes whether the statement is true or false, and explains that there is no property that distributes the summation between the products of the separate sums of two sequences.
In Exercises 3–4, use the order of operations to simplify each
expression.
8 - 3? ÷ 9
|-5| - [5 - (18 - 6)]?
3.
4. 4
(2 – 9)° + 32 ÷ 1 + 3
5. Simplify: 3 - [2(x – 2) – 5x].
Please simplify completely. In #1–4, list the necessary restrictions on the variable; if none, write “none”.
For Exercises 5–10,
a. Simplify the expression.
b. Substitute 0 for h in the simplified expression.
2(x + h)? + 3(x + h) ·
5.
(2x + 3x)
3(x + h - 4(x + h) – (3x - 4x)
6.
h
1
1
1
1
(x + h) – 2
7.
x - 2
2(x + h) + 5
8.
2x + 5
h
(x + h) – x
9.
(x + h)
10.
- X
h
h
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