Part A
To identify the values of x that make 2x−1 positive
⇒ 2x - 1 > 0
⇒ 2x > 1
⇒ x > 
As a result, for any x greater than
, the expression 2x-1 is positive
Part B
To find values of y making 21−37 negative
⇒ 21-3y < 0
⇒ 21 < 3y
⇒ 7 < y
Thus, for all y values exceeding 7, the expression 21-3y is negative
Part C
To identify values of c that digit 5−3c greater than 80
⇒ 5-3c > 80
⇒ -3c > 75
⇒ -c > 25
⇒ c < -25
Therefore, for values of c less than -25, the expression 5-3c surpasses 80
Response:
Explanatory steps:
I am unsure as well. However, I can state that the first one is
Sarah is 40 years old and her mother is 64 years old.
When there is one table (t=1), you can place 6 chairs (c=6) around it: 2 along the length of each side and 1 at each end.
With t=2, where the tables are positioned end to end (joined at the width), c=10, that means 4 chairs along each side of the joined tables and 1 chair at each end. Each additional table increases the number of chairs by 4, thus we can express this as c=4t+2, with the constant 2 representing the individual chair at each end. If the tables are spread apart, then c=6t.
Answer:
$277.91
Step-by-step explanation:
"The 26-week average of the two highest-earning quarters prior to her application" is calculated from $13,500 and $12,775, yielding
$13,500 + $12,775
---------------------------- = $13,137.50
2
By dividing this by 26 weeks (which is equivalent to 6 months), the result is $505.29.
Thus, Nancy's weekly unemployment benefit would be 55% of that, equaling $277.91.
You can utilize them in reverse order, but this method doesn't apply for subtraction.
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