Answer:
8/27
Step-by-step explanation:
<h2><u>Fractions</u></h2>
a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit
what fraction of the jar is full when it only contains one cup of fruit?
by using these statements , we can solve this through <u>cross multiplication</u>:
fraction that the jar is full : number of cups of fruit
:
x : 1
convert from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
.
x =
<u>x = 8/27</u>
<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>
Answer:
Step-by-step explanation:
Given that there is a function of x,
Let us find first and second derivative for f(x)
When f'(x) =0 we have tanx = 1 and hence
a) f'(x) >0 for I and III quadrant
Hence increasing in
and decreasing in
Hence f has a maxima at x = pi/4 and minima at x = 3pi/4
b) Maximum value =
Minimum value =
c)
f"(x) =0 gives tanx =-1
are points of inflection.
concave up in (3pi/4,7pi/4)
and concave down in (0,3pi/4)U(7pi/4,2pi)
0 = -16t^2 -60t +54
t = 0.75 seconds
solving by the quadratic equation or graphing calculator or completing the square.