This is known as a piecewise function. It's a function that depends on what t is valued at. There are three cases
If
then f(t) = 0. This means that for the first 30 minutes, the cost is $0, in other words the first half hour is free.
If
then f(t) = 5 indicating that the cost is $5 for the entire span from 30 minutes to 90 minutes (excluding t = 30 but including t = 90). Choice B is not the answer because the cost isn't $5 per minute. The cost for this entire timespan is simply $5
Finally, if t > 90, then f(t) = 10 telling us that any time value over 90 minutes will have the cost be $10. This is why
the answer is choice D
All you have to do is plug it into slope-intercept form, which is y = mx + b
y = (-2)x + 4
y = -2x + 4
the answer is A
Answer:
20%
Step-by-step explanation:
To find this, set up a ratio of percent over 100 equals is over of. Is being 32 and of being 160.
=
Then, cross multiply. Multiply 32 by 100 before dividing by 160 in order to get the final answer of 20%.
32 x 100 = 3200
3200/160 = 20
Hope this helps!
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S