B. It is not true. The point at x=0 is not part of a solution for the piece wise function.
Answer:
90
Step-by-step explanation:
3600 / 40 = 90
so
90 x 40 = 3600
Answer:
600 was invested at 8% and $400 at 5%
Step-by-step explanation:
Let x represent the amount of $ invested at 8% and y the amount at 5%.
Then x + y = $1000 is the total investment. Therefore, y = 10000 - x
Interest earned is then:
0.08x + 0.05(y) = 68, or (after substitution)
0.08x + 0.05(1000) - 0.05x = 68
0.08x + 50 - 0.05x = 68, or
0.03x = 18. Dividing both sides by 0.03, we find that x = 18/0.03 = 600.
If x = $600, then y = $1000 - $600 = $400.
$600 was invested at 8% and $400 at 5%.
Standard form of line:
Ax + By = C
where A, B, and C are integers, and A is positive
slope-point form of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line. Replacing with m = 3 and point (2, 5):
y - 5 = 3(x - 2)
y - 5 = 3x - 3(2) distributing
y - 5 = 3x - 6
y - 5 - y = 3x - 6 - y subtracting y at both sides
- 5 = 3x - 6 - y
- 5 + 6 = 3x - 6 - y + 6 adding 6 at both sides
1 = 3x - y which has the standard form
Answer:
26in cylinder
Step-by-step explanation
A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. ~26in cylinder. Inside the container there is empty space not taken up by the volleyball.
