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:
Step-by-step explanation:
Given
Winning Percentage = 0.444 repeating
Required
Represent as a fraction
Represent the percentage with x
Convert to fraction
Next step, is to convert to fraction repeating
To do this, we simply subtract 1 from the denominator
Simplify to the lowest term: Divide numerator and denominator by 37
Simplify to the lowest term: Divide numerator and denominator by 3
Hence;
There winning fraction is 
Answer:
d. (9, 0)
Step-by-step explanation:
(x, y) so...
Where the line crosses the x-plane, x = 9
Since this is the x-intercept y will always equal zero
Therfore x-int = (9, 0)
Ans: (6,-13)
Rationale:
Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)
