Answer:
BC = 107
Step-by-step explanation:
Point B is between A and C.
AB = 3x-1
BC = 9x+8
AC = 139
We need to find BC for which we need to find x first.
<u>Finding 'x':</u>
We know that AB + BC = AC
*putting the values of AB, BC and AC*
3x-1+9x+8 = 139
12x+7=139
12x=132
x=132/12
x=11
Now, BC = 9x+8 = 9(11) +8
BC = 99+8
BC = 107
Answer:
ok so differnce of 2 perfect ssquares are
x^2-y^2=(x-y)(x+y)
we are given
one factor is 5x-8
remember that all you do is square both terms individually to get them
(5x)^2=25x^2
8^2=64
they are difference so
25x^2-64 is answer
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