Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
Answer:
<em>Point P has coordinates (7,9) (last choice)</em>
Step-by-step explanation:
We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.
This means the distances AP, PB and AB follow the conditions:

AP+PB=AB
We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:


Adding 5x and subtracting:

Dividing by 6:

Substituting:

x=7
Now for the y-axis:

Substituting:

y=9
Point P has coordinates (7,9) (last choice)
Answer:
"conditional on all else being equal, as the price of a good increases (↑), quantity demanded will decrease (↓); conversely, as the price of a good decreases (↓), quantity demanded will increase (↑)"
Step-by-step explanation:
Answer:
midpoint
Step-by-step explanation:
the midpoint divides a segment into two equal parts
we are given
radius=r=12m
height=h=9m
now, we can use formula of volume of cylinder

now, we can plug values
and we get

we get

so, the exact volume of the cylinder is
..........Answer