That would be 0.24(0.4). First, estimate the result: 0.24 is about 1/4, and (1/4)(0.4) is about 0.1.
0.24(0.4) = 0.096 (which agrees with the estimated answer, 0.1).
You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.
y = mx + b
m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5
Use point (0, 3000).
3000 = -687.5(0) + b
b = 3000
The equation is
y = -687.5x + 3000
Since we are using points (t, v) instead of (x, y), we have:
v = -687.5t + 3000
Answer: d. v = -687.50 t + 3,000
Answer:
Step-by-step explanation:
1) Use the given coordinate points to find the slope
m=
m=
2) plug the slope into slope-intercept form
y=
x+b
3) choose one point to use to plug into the equation to solve for b
4=
(-2)+b
4) solve for b.
b=
5) substitute the value for b into equation from step 2
y=
x+
The another way to state the transformation would be 
<u>Solution:</u>
Rotation about the origin at
: 
The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to
about the origin.
So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of
.
Hence according to the representation, the expression would be
.