We mathematically express the given such that it becomes,
4 / (x - 4) = x / (x - 4) - 4/3
To answer this, multiply the equation by 3(x - 4) since this is the least common multiple (LCM).
4(3) = (3)(x) - 4(x - 4)
Simplifying,
12 = 3x - 4x + 16
4 = -4x
The value of x should be equal to -1.
The calculated value of y can be calculated.
Answer:
x=<3
Step-by-step explanation:
explanation in the pic!
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:
d. y =5(1.06)^x
Step-by-step explanation:
growth formula is
y = (1+r)^t
1+r has to be greater than 1
mustangps
Answer:
Step-by-step explanation:
we know that
The scale is 
That means
1 unit in the drawing represent 40 units in the actual
or
1 inch in the drawing represent 40 inches in the actual
step 1
Find the actual dimensions of the living room
Multiply the dimensions of the living room in the drawing by 40
step 2
Convert inches to feet
Remember that
To convert inches to feet , divide by 12
so
step 3
Find the area in square feet
Multiply the length by the width
Convert to mixed number
