Answer:
1. a=3, b = 2, c = 1.
2. a=2, b=3, c=4, d=6.
3. a = 9, b = 3.
Step-by-step explanation:
1. 3 | 21 is a counterexample because 3 does not divide into 2 or 1.
2. 23 | 46 is a counterexample because 2 does not divide into 3.
3. 9 | 3^2 is a counterexample because 9 does not divide into 3.
Answer:
1 7/8
Step-by-step explanation:
3/8 * 5/1 = 15/8
<-- First multiply 3/8 by 5
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15/8 = 1 with a remainder of 7
<-- Then convert 15/8 to a mixed number by dividing 15 by 8
15/8 = 1 7/8
Answer:
f(x) = -5x - 4
Step-by-step explanation:
We want to get the inverse of the following function:
f^-1(x) = (-1/5)x - 4/5
To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:
x = (-1/5)f(x) - 4/5
And then solve for f(x), the inverse of f^-1(x).
x + 4/5 = (-1/5)f(x)
f(x) = -5x + (-5)4/5
f(x) = -5x - 4
To check our result we compute a pair (x, f(x))
x f(x)
1 -5*1 - 4 = -9
which has to be equivalent to (-9, 1) in the original function
x f^-1(x)
-9 (-1/5)*(-9) - 4/5 = 1
One month = 5000
Number of months before the spark plugs need to change :
15000 ÷ 5000 = 3
The sparks can last 3 months before it needs to be changed.
Number of times it need to change in a year = 12 ÷ 3 = 4
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Answer : It needs to be change 4 times a year.
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y-y1 = m (x-x1) y+3 = (1/4)(x+4) [using point (x1,y1)] or y–1 = (1/4)(x–12) [using point (x2,y2] [let's use this one since you did] To put this into Standard Form (Ax+By=C), y–1 = (1/4)(x–12) 4y - 4 = x - 12 -x + 4y - 4 = -12 [subtract x from both sides] -x + 4y = -8 [add 4 to both sides] x - 4y = 8 [multiply by (-1) to have x-coefficient positive
