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:
x=16
Step-by-step explanation:
Because of Thales Intercept Theorem, AN/NG=NE/GL
NE/GL=1/2, AG=2x-9+x+7=3x-2
2x-9/3x-2=1/2
x=16
Answer:
B. Yes, there is reason. The TV audience might not be representative of the population.
Step-by-step explanation:
The question "Do you support new national mileage standards forautomobiles?" is asked to the TV audience.
Therefore those who will voted are the ones who are watching the TV show. We do not know the rate of people who do not watch TV or who do not watch that TV talk show in the population.
Thus the results cannot represent the whole population
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:
![y\geq 4x\\9\geq 4\,(2)\\9\geq 8](https://tex.z-dn.net/?f=y%5Cgeq%204x%5C%5C9%5Cgeq%204%5C%2C%282%29%5C%5C9%5Cgeq%208)
so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:
![y](https://tex.z-dn.net/?f=y%3Cx%2B2%5C%5C9%3C%282%29%2B2%5C%5C9%3C4)
This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.
Answer:
-5
Step-by-step explanation:
el número anterior a -7 es -10 y -10+5 es -5