Brainliest? :) (I'd really appreciate if you mark me as brainliest)
Answer:
11/6 or 1.8333333333
Step-by-step explanation:
= 
Cross Multiply:
7 x 6 = 42
9 (2x+1)
42 = 9(2x+1)
42 = 18x + 9
Then, isolate the variable. In order to do so, subtract 9 from both sides.
33 = 18x
Now, divide by 18 (to find x)
33/18 =
1.8333333 or 11/6
Well let’s see...
If she practices 3/4 of an hour a week we need to find out how much time is 3/4 of an hour. To do this we divide 60/4 and get 15. We check by multiplying 15 x 4 and get 60 so we know we are correct.
Now we know that 1/4 of an hour is 15 minutes, but we need to know how long she practices per session. Because 15 is 1/4 we multiply 15 x 3 to make it 3/4.
15 x 3 is 45. We check by dividing 45 by 3 and we do get 15 so we are correct.
If 3/4 of an hour is 45 minutes and she practices for 3/4 of an hour then we know that for every session she practices for 45 minutes.
The question states that she practices for 3 hours every week, since we know that we need to multiply 45 (because she practices 45 minutes every session) by a number that will get us 3 hours.
45 x 4 is 180 minutes (or three hours) we divided 180 by 4 and got 45 thus we are correct.
Which in turn means she has done 4 sessions this week. Since now we know that 4 sessions is 3 hours (making the ratio 4:3) we can multiply to find how many sessions she has left to do this week.
So if we have 4:3 then we can make it 8:6 (which means we know have 8 sessions and 6 hours) now we can make it 12:9 (12 sessions and 9 hours) and add it once more to get 16:12 (or 16 sessions and 12 hours).
Now we know that it takes 16 sessions for her to reach twelve hours, and since she and already done 4 sessions and 3 hours, it means that she has 12 sessions left to do until she is able to get her 12 hour a week goal.
—
Hope this helped, have a great day! :D
Answer:
We conclude that
(g o f) (4) = 9
Hence, option C is correct.
Step-by-step explanation:
Given
f(x) = -x³
g(x) = |1/8x - 1|
To determine
(g o f) (4) = ?
Using the formula
(g o f) (4) = g[(f(4)]
first we need to determine f(4)
so substituting x = 4 into f(x) = -x³
f(x) = -x³
f(4) = -(4)³ = -64
so
(g o f) (4) = g[(f(4)] = g(-64)
so substitute x = -64 in g(x) = |1/8x - 1|
substitute x = -64
Apply absolute rule: |-a| = a
Therefore, we conclude that
(g o f) (4) = 9
Hence, option C is correct.
