Mrs.Lombardo.<span>if you do the math out, 4/5 and 2/3 give you an LCD (Least Common Denominator) of 15, so this means 4/5 = 12/15, and 2/3 = 10/15. 4/5 is greater than 2/3. </span>
For this case we must find the product of ![(3x + 5) (x + 4)](https://tex.z-dn.net/?f=%283x%20%2B%205%29%20%28x%20%2B%204%29)
By definition, the distributive property states that:
![(a + b) (c + d) = ac + ad + bc + bd](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%20%28c%20%2B%20d%29%20%3D%20ac%20%2B%20ad%20%2B%20bc%20%2B%20bd)
Then, according to the expression we have:
![3x ^ 2 + 12x + 5x + 20 =\\3x ^ 2 + 17x + 20](https://tex.z-dn.net/?f=3x%20%5E%202%20%2B%2012x%20%2B%205x%20%2B%2020%20%3D%5C%5C3x%20%5E%202%20%2B%2017x%20%2B%2020)
Answer:
![3x ^ 2 + 17x + 20](https://tex.z-dn.net/?f=3x%20%5E%202%20%2B%2017x%20%2B%2020)
Option C
Answer: 2222
Step-by-step explanation: 2000+200+20+2 = 2222
Answer = 16 birds
1. Write out your equations
X = birds
Y= cats
x + y = 19
2.50x + 7.50y = 62.50
2. Isolate one variable.
x + y = 19
x = 19 - y
3. Plug this in as the variable in the other equation. Then, solve.
2.5(19 - y) + 7.5y = 62.5
47.5 - 2.5y + 7.5y = 62.5
-2.5y + 7.5y = 15
5y = 15
y = 3 (cats)
4. Solve for the other variable.
We know there were 19 animals in total on Monday. Since there were 3 cats, there must be 16 birds.
5. Double check by plugging the numbers into the original equations.
16 + 3 = 19
19 = 19 (true)
2.5(16) + 7.5(3) = 62.5
40 + 22.5 = 62.5
62.5 = 62.5 (true)
Answer:
From the points, the x coordinates are the same. With this similarity, the slope of the line would be undefined and it would result as an error to the point-slop formula of the line.