Answer:y = 65x/z
Step-by-step explanation:
Suppose y varies directly with x and inversely with z. It means that as y increases or decreases, y increases or decreases while z decreases or increases respectively.
In order to remove the variation symbol and replace with an equation symbol, we would introduce a constant of variation, k. It becomes
y = kx/z
When x= 65 and z=5, then y= 26. We would substitute these value to get the constant of variation, k. It becomes
26 = 65k/5
65k = 65
k = 1
The equation of combined variation will be
y = 65x/z
There is a Math website that has a lot of Calculus story problems. He shows you how to solve problems.
patrickjmt.com
also on Youtube;
Patrickjmt channel. The Yourmathgal channel is also good,
both have over 800
videos. Have gone to
both since 2011.
Answer:
-39x^2 + 17x
Step-by-step explanation:
= 5x - 60x^2 + 3 (4x+7x^2)
= 5x - 60x^2 + 12x + 21x^2
= -39x^2 + 17x
Answer:
P(rolling a multiple of 3)= 1/3
Step-by-step explanation:
Multiples of 3 in between 1-6 ( there are six numbers on a dice, from one to six) include 3 and 6. These give you two out of six outcomes with multiples of 3. Probability of an outcome is calculated by
(number of favorable outcomes/all possible outcomes)
There are only two favorable outcomes in this event, 3 and 6.
And there are 6 outcomes due to there being 6 sides on a dice.
Substitute the numbers in to get (2 favorable/6 possible) >> (2/6)
then simplify by dividing top and bottom number by two to get (1/3)
If you are rolling it one time, then there is no need to do additional work.
