Answer:
I believe it is A
Step-by-step explanation:
If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
The graph will look like the graph in the attachment below.
A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.
A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.
That is:
Number of books = independent variable
Cost ($) = dependent variable
A change in the number of books will cause a change in the cost you will pay for buying books.
This shows a direct proportional relationship between the two quantities.
On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.
Therefore:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
Step-by-step explanation:
hope this helps cutey ;)
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GN
and
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GY
I'm just doing this to fill up the required characters cool I think I'm good now.
