Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
Answer: (-4,-1), (-2,-1), (-5,-4), and (-1,-4)
Step-by-step explanation: The formula for finding the rotation of points on a graph depends on how far you want to rotate the point; r90°(x,y) = (-y,x), r180°(x,y) = (-x,-y), and a r270°(x,y) = (y,-x).
r180°(1,4) = (-1,-4) r180°(5,4) = (-5,-4) r180°(2,1) = (-2,-1) r180°(4,1) = (-4,-1)
I hope this helps, have a nice day.
We are asked in the problem to determine the limit of integral of x dx as x approaches to 2. In this case, the first step to do is to integrate first the function. The integral of x dx by the power rule is equal to x^(n+1)/n+1. In this case, since n is equal to 1 from the given, then integral of x dx is equal to x^2/2. To evaluate the limit of x as x approaches to 2, we just have to substitute x by 2, that is
2^2 / 2 equal to 2. Hence the answer to this problem is equal to 2.
Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
Answer:
C
Step-by-step explanation: