Answer:
y = (x - 1) / 2 (First answer choice)
Step-by-step explanation:
1) Start with f(x) = 2x + 1
2) Replace f(x) with y: y = 2x + 1
3) Interchange x and y: x = 2y + 1
4) Solve this result for y: 2y = x - 1, or y = (x - 1) / 2 (This matches the first
answer choice.)
Answer:
See below.
Step-by-step explanation:
See the attached chart that shows all outcomes for two dice.
There are 36 possible outcomes, all equally likely (if the dice are fair!).
The probability of getting a sum of 2 is 1/36 (only one way to get 2: both dice show 1).
The probability of getting a sum of 3 is 2/36 = 1/18.
The probability of getting a sum of 7 is 6/36 = 1/6 (the most likely sum!)
(Notice how all the sum = 7 outcomes like on a diagonal in the chart?)
The probability of getting a sum of 11 is 2/36 = 1/18.
The probability of getting a sum of 12 is 1/36.
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Answer:
122,850 yd³
Step-by-step explanation:
The polyhedron is a right triangle prism
Area of the right triangle prism = ½*a*c*h
a = 91 yd
c = 60 yd
h = 45 yd
Volume = ½*91*60*45
= 122,850 yd³
Answer: C and E
Step-by-step explanation:
The plane starts at 32,460 feet.
It then ascends 1645 feet. Ascending means it's going up higher. So we add.
32,460 + 1645 = 34,105 (C)
From here (34,105 feet) the plane descends by 3/5 of it's height. Descending means it's lowering. So we subtract.
But first we have to figure out how much we are subtracting.
3/5 is equal to .6
Multiply to find 3/5 of current height.
34,105 × .6 = 20,463
So the plane descends by 20,463 feet.
34,105 - 20,463 = 13,642 feet (E)
