The trick here is to notice that all 3 terms can be div. by 2:
2(x^2 + x - 12)
Note that -12 factors into -3 * 4 or -4 * 3. Thus,
x^2 + x - 12 = (x-4)(x+3), and so <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
Answer:

Max is 4 days.
Step-by-step explanation:
An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign:
.
We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.
We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.
21d + 0.10(250)
We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.
So we write
.
To find the number of days he can rent the car, we solve for d using inverse operations.

This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.
Answer:

Step-by-step explanation:
1/2+1/3 L.C.M = 6

The missing angle would be 35 degrees. The straight line adds up to 180 and the right angle would be 90 degrees. 180-90-55 would be 35.
Answer:
Jada walked 
Elena walked 
Lin walked 
Step-by-step explanation:
Let
x----> total miles walked by Jada
y----> total miles walked by Elena
z----> total miles walked by Lin
we know that
-----> equation A
----->
------> equation B
------> equation C
Substitute equation C and equation B in equation A and solve for x




Find the value of y

Find the value of z

therefore
Jada walked 
Elena walked 
Lin walked 