G(x) = h(x) +3 . . . . . h translated upward by 3 units
g(x) = (-3x² +3) +3
g(x) = -3x² +6 . . . . . . . . . the desired expression for g(x)
9514 1404 393
Answer:
Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
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The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
The answer to the problem is D
Answer:
160403.47
Step-by-step explanation:
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7.32*600=4392
4392*0.56= 2459.52
2459.52*3= 7378.56
7378.56/3.45=2138.71
2138.71*75= 160403.47
Convert the fraction 3/4 to decimal form to get 3/4 = 0.75
To factor out 3/4, we divide each term by 3/4 or 0.75
It might be easier to divide by 0.75 to avoid two division symbols
So (3/4)z+6 = 0.75z+6
Divide each term (0.75z and 6) by 0.75 which is what we want to factor out
0.75z/0.75 = z
6/0.75 = 8
Therefore,
0.75z+6 = 0.75*(z+8)
Note how we can distribute the 0.75 back through to each term inside (z and 8) and we'll end up with 0.75z+6 again.
The answer in fraction form is

which is 3/4 outside the parenthesis multiplied by the group (z+8)