Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

The change in Mike's account balance will be
-$180.
Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)

(B)

In this case, it is easier to also factor the divisor to primes:

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

Answer:
I believe it is c> 34
Step-by-step explanation:
Correct me if i'm wrong
Answer: 3.5 h
Step-by-step explanation:
<u>1. Data:</u>
a) s = 740 miles / h
b) d = 2,567 miles
c) t = ?
<u>2. Equation:</u>
<u>3. Solution:</u>
- Solve the equation for t:
s = d / t ⇒ t = d / s
t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h