9514 1404 393
Explanation:
<h3>Part 1.</h3>
The inverse of a function y = f(x) can be found by solving x = f(y) for y.
When we do that here, we find ...
When we compare this to g(x), which we want to be the inverse of f(x), we see that ...
cx -d = bx -a ⇒ b=c, and d=a
We can choose a=d=1 and b=c=2 to make the two functions inverses:
f(x) = (x +1)/2
g(x) = 2x -1
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<h3>Part 2.</h3>
The inverse of f(x) is g(x) if f(g(x)) = x.
f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f
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<h3>Part 3.</h3>
Same as Part 2, but in reverse.
g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x
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<h3>Part 4.</h3>
The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.
Answer: -4.5
Step-by-step explanation:
Answer:
Soleil and Malvin would have $ 5,000 all together after 13 days.
Step-by-step explanation:
Since Soleil and Malvin each work a job, and Soleil starts with $ 700 and makes $ 100 per day while Malvin starts out with $ 200 and makes $ 120 per day, to determine after how many days will they have at least $ 5000 all together it must be done the following calculation:
5,000 - 700 - 200 = 4,100
200X + 120X = 4,100
320X = 4,100
X = 4,100 / 320
X = 12.8
So Soleil and Malvin would have $ 5,000 all together after 13 days.
<span>Given that there are 50 campers at day camp and 10
counselors.
The ratio of campers to counselors as a fraction is given by
.
Using equivalent fractions we have
.
Thus, the related rate and unit
rate to the ratio of campers to counselors is given by
.
The unit rate indicates that for every counselor, there are 5 campers.</span>
7/8
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water
