-3: y = -2 * (-3) - 7 = 6 - 7 = -1
0: y = -2 * 0 - 7 = -7
3: y = -2 * 3 - 7 = -6 - 7 = -13
6: y = -2 * 6 - 7 = -12 - 7 = =-19
Answer:
Step-by-step explanation:
1. not equivalent
2. not equivalent
3. fully simplified
4.not fully simplified
5. not fully simplified
6. not fully simplified
Remark
It looks like all you want is question 6. If that is the case, there are two ways to do it.
Algebra
<u>First answer</u>
abs(b - 22) = 5 Equate to + 5
b - 22 = 5 Add 22 to both sides.
b = 5 + 22
b = 27
<u>Second Answer</u>
Equate to - 5
b - 22 = -5
b = 22 - 5
b = 17
Method Two
<u>Graph the question</u>
The graph y = abs(b - 22) is shown below in red.
The values of y when y =5 are shown in blue.
Range is all real
(-inf, inf )
Given:
Do you earn over $50,000 per year?
Male Female Total
Income over 50,000 475 375 850
Income below 50,000 75 75 150
Total 550 450 1,000
Yes, "being female" and "earning over 50,000" are independent events. Independents events are events that happen where the probability of one event happening is not affected by the happening of the other event.
In this case, regardless if you are male or female, you can earn over 50,000.
Also if you are female, you either earn under or over 50,000