The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>

Thus average rate of change from x = -1 to x = 2 is 2
Let S represent Sunaina's age.
Let T represent Tanish's age.
So 2S - T/2 = 40, 4S - T = 80.
Either S - T = 2 or T - S = 2. Let's try both cases.
Either 3S = 78 or 3S = 82.
Since 82 is not a multiple of 3, S = 26.
So Sunaina is 26 years old and Tanish is 24 years old.
No, bc the lower quartile should be in between the minimum and middle quartile(median) Hoped this helped!
Answer:
S(t) = -4.9t^2 + Vot + 282.24
Step-by-step explanation:
Since the rocket is launched from the ground, So = 0 and S(t) = 0
Using s(t)=gt^2+v0t+s0 to get time t
Where g acceleration due to gravity = -4.9m/s^2. and
initial velocity = 39.2 m/a
0 = -4.9t2 + 39.2t
4.9t = 39.2
t = 8s
Substitute t in the model equation
S(t) = -49(8^2) + 3.92(8) + So
Let S(t) =0
0 = - 313.6 + 31.36 + So
So = 282.24m
The equation that can be used to model the height of the rocket after t seconds will be:
S(t) = -4.9t^2 + Vot + 282.24