5^-3 is 1/125
The negative in the exponent makes it so there is a 1 over the problem if there was no negative. When you have a negative in the exponent, the answer will be the reciprocal (opposite) of the question with no negative.
For example,
9^2 = 81
9^-2 = 1/81
If we let x as the number of years of service in the company and f(x) as the increase in the wage, the step wise function that describes the scenario is
f(x) = { 0.5, x < 3
{ 1.0, 3 ≤ x < 6
{ 1.5, 6 ≤ x < 9
{ 2.0, 9 ≤ x < 12
The point (2, 12) represents the wage increase of x < 12
Answer:
50
Step-by-step explanation:
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We make use of the special form for the difference of squares:
(a+b)(a-b) = a²-b²
Answer:
x = 1.5
Step-by-step explanation:
Given
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if , then
Multiply both sides by 2
Similarly;
Multiply both sides by 2
Merging these results together; to give
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Answer:
16.2
Step-by-step explanation:
r = k/x
72 = k/9
k = 72*9
When r = 40 ,
x = k/r
x = 72*9/40 = 16.2
