A; rate of change is the same as slope, so, using the slope formula,
, where
is the slope and
,
,
, and
are the
and
values.
Plug in
points for
and
, water level being the
and time being the
since we're looking for the answer in ft/hr-- you can choose any two, but from the same row.
ft/hr
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
<span>Divide both sides by -5.
</span><span><span>−<span>5x /</span></span><span>−5 </span></span>> <span>25 /<span>−<span>5
ANSWER: X < - 5
</span></span></span>
(3x+6)(2x^2), using the distributive property, equals 2x^2*3x+2x^2*6. We multiply the 2 with the coefficients and add a power of x if multiplied by x, getting 6x^3+12x^2
Answer:
y = -2/3x - 1
Step-by-step explanation:
Let's solve for y.
y−5=−2/3(x+9)
Step 1: Add 5 to both sides.
y−5+5=−2/3x−6+5
y=−2/3x−1
