Answer:
y > 1/2x - 1
First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).
Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.
Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.
Explanation:
Convert standard form (Ax + By = C) by isolating y from the rest of the equation.
Ax + By = C → y = -Ax/B + C/B → y = mx + b.
Given a standard form equation in inequality form,
x - 2y < 2.
Set it to slope-intercept as an inequality to find the slope and y-intercept.
When negating (making opposite) a variable, you flip the inequality.
x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → <u>y > 1/2x - 1</u><u>.</u>
Answer:
Graph 1
Domain = -8 =< x =< 10
Range = -9 =< f(x) =< 9
Graph 2
Domain = -1 =< x =< 5
Range = -1 =< f(x) =< 2
Explaination:
Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).
Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.
Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
Answer:
B. 4
Step-by-step explanation:
10 Lima beens
8 red beans
2 black-eyed beans
