Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Let x be the original amount.
Increasing x by 24% means to add 24% of x to the original amount x.
x + 24% of x = x + .24x = 1x + .24x = 1.24x.
Therefore, to increase a given amount by 24% then multiply the original amount by a single factor of 1.24 .
Number of cups of water consumed per hour = 1 2/3 cups = 5/3 cups .
Number of hours spent in exercise = 14 hours
Number of cups consumed in the given month = ( Number of cups consumed per hour )(Total number of hours)
Therefore,
Thus the number of cups of water consumed is ,
Let the necessary amount of water be x. Then (1.00)(1 gallon antifreeze) = 0.40(x+1 gallon), or 1 = .40x + .40. Combining like terms: 0.60 = 0.40x.
Then x = 0.60 / 0.40 = 1.5.
Adding 1.5 gallons of water to that 1 gallon of pure antifreeze results in 2.5 gallons of 40% antifreeze.
The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .
Step-by-step explanation:
Let's first do the math with only the trumpet,drummer and saxophonists player.
There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:
T
1
D1S1
T
1
D2S2
and so on
So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.
It would be the product of
4T2, 12D5 and 7S3
That is 6*792*35=166,320
