Answer:
C: 1
Step-by-step explanation:
4x^2-4x=24
Subtract 24 from each side
4x^2 -4x -24 = 24-24
4x^2 -4x-24 =0
Factor out a 4 from each side
4(x^2 -x -6) =0
What 2 numbers multiply to -6 and add to -1
-3*2 = -6
-3 +2 =-1
4(x-3) (x+2) =0
4(x-3) (x- -2) =0
p=3 q =-2
p+q
3-2
1
309 times 692 ***********************
We are going to use the basic form of an exponential function:
to solve this problem.
Since we have tow points
and
, we are going to have a system of equations:
equation (1)
equation (2)
We know for our problem that
,
,
, and
, so lets replace those values in our equations:
equation (1)
equation (2)
Now, we just need to find
and
:
Dividing equation (2) by equation (1):
equation (3)
Replacing equation (3) in equation (1):
Finally, we can put our function together:
We can conclude that the exponential function whose graph passes through the points (2,8) and (5,512) is
.
Answer:
1. 5
2. 4
3. 20
4. 10
Step-by-step explanation:
You count the units of the length and width of the triangle which is also the same for the rectangle and l*w=the area (length is the longer side).
Halve the area of the rectangle to find the area of the triangle.