Rewrite each linear inequality in slope-intercept form. Then graph the solutions in the coordinate plane.
y - x< 3

Slope intercept form is y < x+3

The graph is below

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Explanation:

To get the inequality into slope intercept form, we add x to both sides getting y < x+3

Now let's graph y = x+3, which is the boundary line of the inequality.

This line has slope of 1 and y intercept 3. Two points on this line are (0,3) and (1,4). Make this boundary line a dashed line to indicate "points on the boundary are not part of the solution set"

We shade below the dashed boundary line due to the "less than" sign. You could also use a test point like (0,0) to see that it's part of the solution set, so that point is in the shaded region.

Refer to the graph below.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)