For this case we have the following inequality: y < 3x + 1 < br/ >
What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.
The shaded region represents the solution of the system of equations.
For the point (0, 0) we have:
0 < 3(0) + 1 < br / >
0 < 0 + 1 < br / >
0 < 1 < br / >
Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.
Then, the points that are on the line, are not part of the solution because the sign is of less strict.
Hope I helped ~~Laurel
(1/6) x + 2 = 10
Step-by-step explanation:
Step 1 :
Let x be the number of points scored by the team.
Given Joe has scored 2 points more than one sixth of the point scored bynthe team
Step 2:
Based on the above given information the equation which gives the points scored by Joe is as follows:
(1/6) x + 2
Given that Joe has scored 10 points, we have
(1/6)x + 2 = 10
Step 3:
When we solve the above equation for x , we get the total number of points scored by the team
Let's find the area of the base.
It's a rectangle that's 3.8 by 4.8, so let's multiply.
3.8×4.8=18.24
We have two different triangles.
Triangle one has a height of 2.6 and base of 4.8. But there are two of them.
2.6×4.8×0.5=6.24×2= 12.48; this is the area of two triangles.
Another set of triangles has a height of 2.9 and a base of 3.8.
2.9×3.8×0.5=5.51×2=11.02
Let's add all the areas together.
18.24+12.48+11.02
41.74
The surface area is 41.74 m², so the third option.
First you need to find the amount for each of the items, then total it up:
T-shirts> 9.50 x 2 = 19
Socks> 7.95 x 3 = 23.85
Shoes> 49.95
Total: 19 + 23.85 + 49.95 = $92.80
Next find the tax:
(to find the taxes you multiply the total by the percent)
92.8 x 0.06 = 5.57
-- then add the amount to your item total
92.8 + 5.57 = 98.37
~OR~
You could multiply the item total by 1.06 so that you wouldn't have to add to taxes to the previous total because it is already part of the equation
92.8 x 1.06 = 98.37
