Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C.
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:
Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:
She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:
THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:
THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.
Answer:
D) AD=21
Step-by-step explanation:
QD=1/2 AQ
QD=1/2(14)
QD=7
AQ+QD=AD
AD=14+7
AD=21
Answer: x intercept = 6
This is the location (6,0)
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Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.