Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.
Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.
Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.
First because it's a broken line we know it's an inequality.
next we find the slope we can take points (0,4) and (2,0) thus (y2-y1)÷(x2-x1)
substituting any value of x for either x1 or x2 and any value of y for y1 and y2 we can get
slope is -2
so now we can take either points to find the equation by the formula
y-yo=m (x-xo) where m is slope
after substitution we can get
y-4=-2 (x-0)
y=-2x+4
Answer: ![\frac{5}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B35%7D)
Step-by-step explanation:
Since, the total number of contestant = 7,
Thus, the probability that out of 3 contestant, me and my friend is chosen
= ![\frac{2_C_2\times 5_C_1}{7_C_3}](https://tex.z-dn.net/?f=%5Cfrac%7B2_C_2%5Ctimes%205_C_1%7D%7B7_C_3%7D)
= ![\frac{\frac{2!}{2!0!}\times \frac{5!}{1!\times 4!}}{\frac{7!}{4!\times 3!}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B2%21%7D%7B2%210%21%7D%5Ctimes%20%5Cfrac%7B5%21%7D%7B1%21%5Ctimes%204%21%7D%7D%7B%5Cfrac%7B7%21%7D%7B4%21%5Ctimes%203%21%7D%7D)
= ![\frac{1\times 5}{\frac{7\times 6\times 5\times 4!}{4!\times 6}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5Ctimes%205%7D%7B%5Cfrac%7B7%5Ctimes%206%5Ctimes%205%5Ctimes%204%21%7D%7B4%21%5Ctimes%206%7D%7D)
= ![\frac{5}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B35%7D)
⇒ Third Option is correct.
Answer: 50 cases per minute
Step-by-step explanation:
1. Select one of the points on the graph. Let's use (2, 100) in this case.
2. Divide the number of cases (y) by the amount of minutes (x) This means the equation would be 100 ÷ 2.
3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.