1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
Answer:
C. 5
Step-by-step explanation:
3x – 7 > – 1
Add 7 to each side
3x – 7+7 > – 1+7
3x> 6
Divide each side by 3
3x/3 >6/3
x >2
X must be greater than 2
Step-by-step explanation:
igoroleshko156
Genius
2K answers
3.1M people helped
Answer:
Step-by-step explanation:
Step 1: Subtract 7 from both sides
Step 2: Divide both sides by -3
Since you divided by a negative, you must flip the sign.
Answer: x<2
Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
The margin of error is:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use 
, which is when we are going to need the largest sample size.
Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.
So
Rounding up
n = 1026.
Sorry if it’s wrong but i think it’s B
sorry if i got it wrong
Answer:
4 hours and 33 minutes
Step-by-step explanation:
Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.
5*45 = 225
225+35 = 260 minutes or 4 hours and 33 minutes
