The inequality is y<2x-1.
To draw the solutions, we first start our solution by drawing the line y=2x-1.
To draw a line, it is enough to determine 2 solutions (x, y), plot them in the coordinate axes, and finally join them by a line.
Let x=0, then y=2*0-1=0-1=-1, so we have the point (0, -1).
Now, if y=0, x=1/2, so we have the point (1/2, 0).
We can see that these 2 points are points of the lines on the 2 pictures on the left. Now we want to determine which region to color, the region below the line, or the one above it.
Consider any point which is not on the line, for example (1, 2). We plug x=1 and y=2 in the inequality. If the inequality holds, it means that we are in the solutions region. If it does not hold, then we are on the not solutions regions.
We check: for x=1, y=2 the inequality y<2x-1 is 2<1, which is not true. So the point (1, 2) can't be in the colored region.
Thus the answer is bottom left.
Answer: Bottom left picture.
8.75 x 10 = 87.50, easiest way to figure out is divide each amount by each answer choice
Answer:
y=-6
Step-by-step explanation:
Method 1:
Both the y coordinates of the points are the same and the x coordinates are distinct.
Therefore the straight line passing through the point is parallel to X-axis.
The common y coordinate is -6, therefore the line equation is y=-6.
Method 2:
We will solve it using general line equation
(y-y1)=(
)(x-x1)
where (x1,y1) and (x2,y2) are the 2 points.
- (y+6)=(
)(x+2)
<span>4(x+5) = 4x +5x
Simplify by distributing and combining like terms
</span>(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x
Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0
<span />
Subtract 20 from each side
−5x+20−20=0−20
−5x=−20
Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4
P.S this was actually harder than most algebra problems, so don't beat yourself about it :D<span /><span /><span /><span /><span />
