Answer:
y = -3x + 8
Step-by-step explanation:
You have to find the slope first using the formula ![\frac{y_{2}-y_{1} }{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Insert any two points in the equation (1,5) and (2,2) and you get -3.
Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).
This makes it y = -3x + 8.
Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals.
The shelter must keep its total occupancy below 300.
The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be
165+5x animals. This number must be less than 300, so
![165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27](https://tex.z-dn.net/?f=165%2B5x%3C%20300%5C%5C%20%5C%5C5x%3C%20300-165%5C%5C%20%5C%5C5x%3C%20135%5C%5C%20%5C%5Cx%3C%2027)
A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
![\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%2B%5Cdfrac%7Bc%7D%7Bd%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D%5Ccdot%5Cdfrac%7Bd%7D%7Bd%7D%2B%5Cdfrac%7Bc%7D%7Bd%7D%5Ccdot%5Cdfrac%7Bb%7D%7Bb%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bad%2Bbc%7D%7Bbd%7D)
Here, you have
The sum is -1 1/12
Answer B is correct. Sum is the answer to an addition problem, so sum of 8 and 2 would be 8+2.