Answer:
y < -3 and
2x - 3y ≥ -15
Step-by-step explanation:
y < -3
Take any two points on the bold line
(0 , -5) and (-3 , -7)
Now find the slope for this line and then the equation of the line
Slope = ![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C)
![= \frac{-7-[-5]}{-3-0}\\\\=\frac{-7+5}{-3}\\\\=\frac{-2}{-3}\\\\= \frac{2}{3}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-7-%5B-5%5D%7D%7B-3-0%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%2B5%7D%7B-3%7D%5C%5C%5C%5C%3D%5Cfrac%7B-2%7D%7B-3%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B2%7D%7B3%7D%5C%5C)
Slope, point equation,
y - y1 = m(x -x1)
![y - [-5)=\frac{2}{3}(x-0)\\\\y +5 = \frac{2}{3}x\\\\3*y + 5*3 = \frac{2}{3}x*3\\\\3y + 15 =2x\\\\2x - 3y = -15\\](https://tex.z-dn.net/?f=y%20-%20%5B-5%29%3D%5Cfrac%7B2%7D%7B3%7D%28x-0%29%5C%5C%5C%5Cy%20%2B5%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%5C%5C%5C%5C3%2Ay%20%2B%205%2A3%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2A3%5C%5C%5C%5C3y%20%2B%20%2015%20%3D2x%5C%5C%5C%5C2x%20-%203y%20%3D%20-15%5C%5C)
Take any point from the shaded region and plugin the LHS of the equation.
(-6 , -5)
LHS = 2x - 3y
= 2*(-6) -3*(-5)
= -12 + 15
= 3 which is ≥ -15
2x - 3y ≥ -15
Answer:
The opening price was approximately $32.92
Step-by-step explanation:
34.65×(1-5%)=34.65×(1-0.05)=32.9175
10, i believe. i hope this helps :)
Answer:
The right expression is Option A - 3/4 divided by 5
Step-by-step explanation:
The whole cheese is 1.
Since she ate 1/4 of it, thus, she has,
1 - 1/4 = 3/4 left.
Now she split this remaining cheese into 5 places. Thus, it is expressed as;
(3/4) ÷ 5
This corresponds with option A