Answer:
6 in = 80 miles
Step-by-step explanation:
Given that:
Distance between Capeton and Jonesville = 80 miles.
Map scale : 0.75 in = 10 miles ; this means 0.75 inches on the map represents 10 miles on land.
Hence, If ;
0.75 inches = 10 miles
x inches = 80 miles
Cross multiply :
10 * x = 80 * 0.75
10x = 60
10x / 10 = 60 / 10
x = 6 inches
Hence,
6 in = 80 miles
Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
Answer:
Point A is in the interior of both circles
Step-by-step explanation:
<u><em>Verify each point</em></u>
we know that
Point H is in the interior of greater circle but is outside smaller circle
Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle
Point B is on the smaller circle and is in the interior of greater circle
therefore
Point A is in the interior of both circles
Y=2/3x-2
to find intercepts, substitute 0 into y and solve for x = x intercept is (3,0) and repeat for y. substitute 0 into x to get y intercept of (0,-2)
