√-16
Step-by-step explanation:
C. 4i
I hope it will be help you...
Answer:
X=22.5
Step-by-step explanation:
Y=kX
20=15k
k=4/3
For X when Y=30
30=4/3×X
Cross multiply
4X=90
X=22.5
6x +5 = 8x after make the common denominator on both sides
5 = 2x
x = 5/2
hope this will help you
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
15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.