Answer:
together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
-------------------------------
Equation:
rate + rate = together rate
1/x + 1/(x-9) = 1/20
---
20(x-9) + 20x = x(x-9)
40x-9*20 = x^2-9x
---
x^2-49x + 180 = 0
Factor:
(x-45)(x-4) = 0
Realistic solution since 4-9 is negative:
x = 45 minutes
then
x-9 = 36 minutes (faster computer time to do the job)
Step-by-step explanation:
Answer:
B. f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Hence, option B is correct.
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc EH
Remember that the measure of the complete circle is equal to 360 degrees
so
Remember that
----> by central angle
----> by central angle
---> by central angle
substitute the given values
step 2
Which arc is congruent to Arc E H?
we know that
therefore
arc EH is congruent with arc EFG
or
arc EH is congruent with minor arc GE
548cm tall because if you add 180 to 368 it is 548.
400+600+600+600 which is basically 400+(600•3)
