Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
Answer:
C (x ≥ -6)
Step-by-step explanation:
<u>Algebraic:</u>
The domain of 
is 
. When transformed 6 units to the left, it becomes 
<u>Graphically:</u>
As shown in the attached graph, .
Answer:
y= -5x +7
Step-by-step explanation:
We can see points on the graph:
The function in general form is:
Let's find the slope and y-intercept as per identified points on the graph:
b= y- mx
- b= - 3 -(-5)*2= -3 +10= 7
Based on the found values of m and b, the given line is:
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
Answer: 3 - x
Step-by-step explanation: With
Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.
