Answer:x = -12
Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>
Answer:
range: (-5, ∞)
domain: (-∞, ∞)
Step-by-step explanation:
given vertex, absolute minimum: (-3, -5)
Range look at y-value
(minimum, maximum) the -5 will be on the left of the comma b/c its the min
If this was a max, you would put the y-value on the right side of the comma
Answer:72.70
Step-by-step explanation: long story short math
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:
Step-by-step explanation:
Let M = total amount of money earned
M = 12x+8y
To make more than $190, the equation is:
190<12x+8y
Since Trevor is going to scoop ice cream for 20 hours, the equation is:
190<12x+8(20), which simplifies to 190<12x+160.
Isolate x to find the amount of hours that Trevor needs to tutor.
190-160<12x
30<12x
30/12<x
2.5<x
Trevor must tutor for more than 2.5 hours to make more than $190.
