Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
Answer:49 sec
Step-by-step explanation:
Given
Maximum speed to reach is 183.58 mi/h
Length of course is 5 mi
acceleration rate is defined by 60mi/h in 4 sec
therefore acceleration(a)
To reach a speed of 183.58mi/h with an acceleration of 
Using equation of motion
v=u+at
t=0.00339 hours
t=12.23 s reach maximum speed
To complete course it takes
t=0.01360 hour
or 
It is true hope this helped
Answer:
25%
Step-by-step explanation:
Start by dividing 84 by 4 and you get 21. Then take 100 and divide that number by 4, and you get 25. There is your answer. The 21 jars of grape jelly are equal to 25% of the number 84. Hope this helps!
