Answer:
y ≥ 3x - 1
y < ![-\frac{1}{2}x+2](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%2B2)
Step-by-step explanation:
Let the equation of the solid line passing through (x', y') given in graph is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the solid line =
m =
m = 3
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = 3x - 1
Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,
y ≥ 3x - 1
For the dotted line,
Slope of the line (m) = ![\frac{\text{Rise}}{\text{Run}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BRise%7D%7D%7B%5Ctext%7BRun%7D%7D)
= ![\frac{-2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B4%7D)
= ![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
y-intercept (b) = 2
Equation of the dotted line → y = ![-\frac{1}{2}x+2](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%2B2)
Since, shaded (grey color) area is below the dotted line,
Inequality representing the solution area will be,
y < ![-\frac{1}{2}x+2](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%2B2)
Answer:
hey
Step-by-step explanation:
I like ya cut g XD
First, let's add 30 to both sides:
4x - 30 +30 ≥ -3x + 12+30
4x ≥ -3x + 42
Now, let's add 3x to both sides
4x +3x ≥ -3x+3x + 42
7x ≥ 42
Let's divide both by 7:
x ≥ 6
Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
= ![P(X=3)\\= 0.6^3\\= 0.216](https://tex.z-dn.net/?f=P%28X%3D3%29%5C%5C%3D%200.6%5E3%5C%5C%3D%200.216)