To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph-
draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because
the solution does not include the points in the line.
- the solution is the
region above and to the left of the dotted line.
4) See the
figure attached for better visualization: the pink region is the solution of the inequality.
4 cups are poured every minute...there are 60 minutes in 1 hr...so for 2 hrs, there is 120 minutes...at 4 per minute = 120 * 4 = 480 cups in 2 hrs
16 cups = 1 gal
480 cups = 480/16 = 30 gallons <===
Answer:
182x + 16
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(x - 4) + 4(45x + 6)
<u>Step 2: Simplify</u>
- Distribute: 2x - 8 + 180x + 24
- Combine like terms (x): 182x - 8 + 24
- Combine like terms (Z): 182x + 16
The correct answer I would think would be C but I would try A because B does no have a proportion of 3/4.