Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x




That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
The answer should be 44.72 inches.
Step-by-step explanation:
In order to find the height when given the volume, use the formula V=Ah
The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2
Now, 1,000= .5x^2(h).
Take the volume and divide it by .5. This gives you 2,000.
Now the equation is 2,000=x^2 (h)
Take the square root of 2,000 and this gives you the answer of 44.72 inches.
Volume of a cylinder is defined as:
v = volume
r = radius
h = height.
V =
(r^2)h
In this problem,
v = 1,356.48 in^3
r = 6 in
h = ?
Plug our numbers into the volume formula above.
1,356.48 in^3 =
(6^2)h
Divide both sides by
(6^2) to isolate variable h
12.0 = h
The height of the cylinder is 12.0 inches
Y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.