Answer:
speed of the boat = 100 mph
Step-by-step explanation:
Let x = speed of the boat
upstream speed = x - 4
downstream speed = x + 4
time = 24/(x - 4) = 26/(x + 4)
Cross multiply:
24(x + 4) = 26(x - 4)
24x + 96 = 26x - 104
104 + 96 = 26x - 24x
200 = 2x
x = 100 mph
A vertical line i believe since x is constant
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
The correct answer is 60cm^2 because the area of a triangle is half base*height -> 30/2*40
