Answer:
The linear inequality would be y ≥ 1/2x - 1
Step-by-step explanation:
In order to find the inequality, first find the equation of the line. To do this, we start by identifying two points on the line. For the purpose of this, we'll use (0, -1) and (2, 0). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - -1)/(2 - 0)
m = 1/2
Now that you have the slope, you can use either point and point-slope formula.
y - y1 = m(x - x1)
y - 0 = 1/2(x - 2)
y = 1/2x - 1
Now that we have this, we look to the shading. If the shading is above, then we make y ≥. If it is under the line, then we make y ≤. In this case, the shading is above. Leaving us with:
y ≥ 1/2x - 1
Answer:
a) 7540
b) 43.39
Step-by-step explanation:
a)
![\frac{245*20^2}{13} =\\\\\frac{245*400}{13}=\\\\\frac{98000}{13}=\\\\7540](https://tex.z-dn.net/?f=%5Cfrac%7B245%2A20%5E2%7D%7B13%7D%20%3D%5C%5C%5C%5C%5Cfrac%7B245%2A400%7D%7B13%7D%3D%5C%5C%5C%5C%5Cfrac%7B98000%7D%7B13%7D%3D%5C%5C%5C%5C7540)
(to the nearest 10.)
b)
![\sqrt{58-29}+38=\\\sqrt{29}+38=\\5.39+38=\\43.39\\or\\43.38](https://tex.z-dn.net/?f=%5Csqrt%7B58-29%7D%2B38%3D%5C%5C%5Csqrt%7B29%7D%2B38%3D%5C%5C5.39%2B38%3D%5C%5C43.39%5C%5Cor%5C%5C43.38)
(to the nearest hundredth)
43.38 is rounding down, 43.39 is rounding up. (43.385)
Answer:
Geometric Shapes can be defined as figure or area closed by a boundary which is created by combining the specific amount of curves, points, and lines. Different geometric shapes are Triangle, Circle, Square, etc. ... Let us get more idea on basic Geometric Shapes.
25 slices of bread needed for each student to have one half of a sandwich for a snack
Answer:
D
Step-by-step explanation:
Let x be Bill’s scores.
Let y be Theo’s scores.
x + y = 90
x² = y
Solve for x in the second equation.
x = √y
Put x as √y in the first equation and solve for y.
√y + y = 90
√y = 90 - y
y = (90 - y)²
y = - y² - 180y - 8100
0 = -y² - 181y - 8100
0 = (-y+81)(y-100)
-y+81=0
y = 81
y - 100 = 0
y = 100
100 does not work if we plug in to check, so y is 81.
y = 81
Put y as 81 in the first equation and solve for x.
x + 81 = 90
x = 9
Bill scored 9 goals and Theo scored 81.