Sample answer: <span>For </span>f<span>(3), the input is 3 and you are looking for the output. To determine the function's value when </span>x<span> = 3, go to the value of 3 on the </span>x<span>-axis and then locate the graph for that value of </span>x<span>. Determine the value of </span>y<span> from the </span>y<span>-axis at that location on the graph.
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Answer:
135
Step-by-step explanation:
x = 135 by the vertical angles theorem
Answer:
67.8 days
Step-by-step explanation:
We assume the problem statement is supposed to read ...
Jazz and Corbin can eat 50 pounds of peanuts in 30 days. Jazz by himself eats 50 pounds of peanuts in two weeks less time than Corbin does by himself. How many days will it take for Corbin to eat the 50 pounds of peanuts by himself?
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Let c represent the number of days it takes Corbin to eat 50 lbs of peanuts. Then c - 14 will be the number of days it takes Jazz to eat 50 lbs of peanuts. Working together, they eat 50 lbs of peanuts in 30 days, so ...
Jazz's peanuts per day + Corbin's peanuts per day = total peanuts per day
50/c + 50/(c-14) = 50/30
Multiplying by (3/5)c(c-14), we get ...
30(c -14) + 30c = c(c -14)
Subtracting the left side gives ...
c^2 -14c -60c +420 = 0
c^2 -74c +1369 = 1369 -420 . . . . subtract 420, add 1369 to complete the square
(c -37)^2 = 949 . . . . . . . . . write more compactly
c = 37 +√949 ≈ 67.8 . . . . square root and add 37
It will take 67.8 days for Corbin to eat 50 lbs of peanuts by himself.
Answer:
- 1008
- 3024
Step-by-step explanation:
1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.
The least common multiple of 72 and 112 is 1008.
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2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...
3 × 1008 = 3024
Peter's house number is 3024.
Answer:
14 dollars
Step-by-step explanation:
42 / 3 = x amount of dollars
14 = x
so every one sweater costs 14 dollars