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1 answer:
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Answer:
Step-by-step explanation:
The equation is:
a x - c = b x + d
so we subtract b x from both sides to group the terms that contain x on the left:
a x - b x - c = d
add c to both sides to isolate the terms in x on the left:
a x - b x = d + c
extract "x" as common factor on the left:
x (a - b) = d + c
divide both sides by the quantity (a - b) to isolate the "x":
x = (d + c) / (a - b)
or:
Answer:
Step-by-step explanation:
This might be easier to do in decimals. Let's try it.
3/5 = 0.6
1/10 = 0.1
rate = holes / hours
rate = 0.6/0.1
rate = 6 holes per hour
Try it with fractions.
rate = Invert and multiply the 1/10
rate = = 30/5 = 6
It's the same answer. Pick the method that you feel most comfortable with.
Answer:
D. 4
Step-by-step explanation:
Without actually solving the equation, recall that for , there are two cases:
In the given equation , there are two pairs of absolute value symbols.
Since each has two cases, there must be a total of different equations created.
All four cases are:
Exponents differ, hence clearly there are four possible solutions to this equation.
You can solve for all four values of by taking the log of both sides and using a bit of algebra to verify you have four solutions.