They are inverses if f( (g(x)) = x
f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x
so this proves that g(x) is the inverse of f(x)
the other inverse g((f(x)) should also be = x
Answer:
a. P=0.04
b. P=0.54
c. P=0.96
Step-by-step explanation:
If half of the college graduates are married, then we have:
- 21% are college graduates and married.
- 21% are college graduates and not married.
If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.
If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.
a) P=0.04 (explanation above)
b) P=0.54
c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.
P=1-0.04=0.96
26% of $880
= 0.26 x 880
= $228.80
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Answer: Rent = $228.80
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Answer: The equation of this graph can be written in slope intercept form which is what I am assuming you want. If you do not want that form you can convert to any other form that you so desire. The slope intercept equation for this graph would be y = -1x - 2. The -1 is the slope of the line and the -2 is the y intercept.
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
