For all of these we will use the Order of Operations, also known as PEMDAS, then compare the simplifed values to see if they are equal.
[a] Equivalent / Verified
(-5) * [(-7) + (-5)] = [(-5) * (-7)] + [(-5) * (-5)]
(-5) * [-12] = [35] + [25]
60 = 60
[b] Equivalent / Verified
(-7) * [(-8) + 9] = [-7 * (-8)] + [(-7) * 9]
(-7) * [1] = [56] + [-63]
-7 = -7
[c] Equivalent / Verified
(-25) * [(-7) + (-15)] = [(-25) * (-7)] + [(-25) * (-15)]
(-25) * [-22] = [175] + [375]
550 = 550
I did the math and if I’m not mistaken he gets 9.26666666667
Aka 9
If I’m wrong I’m sorry but that’s what I got
Answer:
Rate of increase in water pressure is 992
Step-by-step explanation:
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
