Answer:
B
Step-by-step explanation:
The area between the curves y = d and y = f(x), between the limits x=a and x=b, is:
∫ₐᵇ (d − f(x)) dx
Alternatively, the area between the curves x = f(y) and x = a, between the limits y = c and y = d, is:
∫ᵈ (f(y) − a) dy
Answer A would give you the area between x = f(y) and the y-axis. It needs to include the − a term to be correct.
Answer:
Step-by-step explanation:
Here is an illustration of the problem:
----------------------------->|<------------------
A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
---------------------------------->|<------------------
A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
Answer:
42.5
Step-by-step explanation:
divide it by 8.
The correct answer is (A) 45 minutes.
Explanation:
This question is bit tricky because the graph is adjusted in such a way in the grid that it is bit hard to find the slope of it (although it is a straight line). Also we do not know where the line intersects the y-axis (for y-intercept of the equation y = mx + c). Hence we need to guess it. Let me explain how (in less time)!
As you can see in the graph that at 42 minutes, the value of "point scored" is BELOW 28 (right?). And the graph is increasing (as it is a straight line). Hence "30 points scored" MUST have the value greater than 42 minutes. So in options, the only value that is greater than 42 minutes is 45 minutes (Option A)
-i
