Answer:
r<1 or r>10
Step-by-step explanation:
Hope it helps :)
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First, let's establish that, they are co-interior angles on parallel lines. We can identify this as they form a 'C' shape on parallel lines.
Co-interior angles add up to 180°.
Therefore:
( x + 27 )° + ( 3x - 25 )° = 180°
x + 3x = 180 - 27 + 25
4x = 178
x = 178 / 4
x = 89 / 2
x = 44.5°
Hope this helps! <3
Given the functions;
f(x) = 5x
g(x) = 2x-1
Required
The composite function f(g(x))
f(g(x)) = f(2x-1)
To get f(2x-1), we are to replace x with 2x-1 in f(x) as shown;
f(2x-1) = 5(2x-1)
Open the parenthesis;
f(2x-1) = 5(2x)-5(1)
f(2x-1) = 10x - 5
f(g(x)) = 10x - 5
Hence the composition f(g(x)) is 10x - 5
Answer:
D. x>5
Step-by-step explanation:
let x be how much longer she can run the race and still beat her previous time
55(min) + x(min) < 1(hr) + 10(min)
55(min) + x(min) < 60(min) + 10(min)
55 + x < 60 + 10
x < 60 + 10 - 55
x < 15(min)
