-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
Answer:
m = 5/9
Step-by-step explanation:
rise = 5
run = 9
m = rise/run
m = 5/9
The domain of f(x) = 8x^2 - 5x + 2 is all real numbers.
For the range, f(x) = 8x^2 - 5x + 2 written in vertex form is f(x) = 8(x^2 - 5/8x + 1/4) = 8(x^2 - 5/8 + 25/256 + 1/4 - 25/256) = 8(x - 5/16)^2 + 8(39/256) = 8(x - 5/16)^2 + 39/32
The range is all real numbers greater than or equal to 39/32