Written in simplest terms its 4/21
To find the amount of cups of fruit used you must multiply the number of smoothies (6) by the amount of fruit need for each smoothie (5/8)
6 x 5/8 = 30/8
30/8 can be simplified to 15/4.
This is still an improper fraction, because the numerator is higher than the denominator. To fix this, you divide 15 by 4, which equals 3 3/4 cups
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)b) The graph of
y = |x|-4
represents a
translation downward 4 units of the graph of
y = |x|
It
retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
For this case we have the following equation:
h (t) = - 12t2 + 36t
When the object hits the ground we have:
- 12t2 + 36t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 3
Therefore, the time it takes the object to hit the ground is:
t = 3 s
Answer:
the time when the object hits the ground is:
t = 3 s