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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.
Answer:
The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Step-by-step explanation:
As the domain of f(x) is the set of all real values except 7. So it can be written as follows:
Domain of f(x) = { x ∈ R | x ≠ 7}
As the domain of g(x) is the set of all real values except -3. So it can be written as follows:
Domain of g(x) = { x ∈ R | x ≠ -3}
It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.
So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Keywords: domain, composite function
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Answer:
Answer:
C. 5
Step-by-step explanation:
3x – 7 > – 1
Add 7 to each side
3x – 7+7 > – 1+7
3x> 6
Divide each side by 3
3x/3 >6/3
x >2
X must be greater than 2
Step-by-step explanation:
igoroleshko156
Genius
2K answers
3.1M people helped
Answer:
Step-by-step explanation:
Step 1: Subtract 7 from both sides
Step 2: Divide both sides by -3
Since you divided by a negative, you must flip the sign.
Answer: x<2
Answer:
alr 5x+11 and 2x-3
5x+11=16x
2x-3=-1x
Step-by-step explanation:
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100 minus 95 equals 5
25 equals 5%
100 divided by 5 equals 20
20 times 25 equals 500
500 minus 25 equals 475
Answer:475 students present/ 500 students total in school