Answer:
Step-by-step explanation:
3/(x-2) - 2/(x+3) = 1....multiply everything by (x-2)(x+3)
3/(x-2) * (x-2)(x+3) - 2/(x+3) * (x-2)(x+3) = 1(x-2)(x+3)
3(x+3) - 2(x-2) = 1(x-2)(x+3)
3x + 9 -2x + 4 = (x-2)(x+3)
x + 13 = x^2 + x - 6
x^2 - x + x - 6 - 13 = 0
x^2 - 19 = 0
x^2 = 19....take sq rt of both sides
sqrt(x^2) = sqrt 19
x = sqrt 19 and x = - sqrt 19 <====
20+12x
20+12(40)
20+480
500
total compensation for this week = $500
Answer:
80
Step-by-step explanation:
0, 3, 8, 15, 24, <u>35,</u> <u>48,</u> <u>63,</u> <u>80</u> which is the nth term
first step you have to find how many steps the sequence was going with.
examples= from 0 to 3 the steps were 3
=from 3 to 8 the steps were 5
= from 8 to 15 the steps were 7
you will recognize that the steps the sequence is going with is odd numbers.
so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.
The answer A has the correct sign
Answer:
A function f is called decreasing on an interval if f (a) > f (b) whenever a < b and a, b are in the interval.
Step-by-step explanation:
The domain of the function shown here is the interval [1, 6].On the interval [1, 3], the graph of this function gets higher from left to right; thus we say that this function is increasing on the interval [1, 3].
On the interval [3, 6], the graph of this function gets lower from left to right; thus we say that this function is decreasing on the interval [3, 6].