Answer: 2x-6
Step-by-step explanation: 1 Remove parentheses.
x-5+x-1x−5+x−1
2 Collect like terms.
(x+x)+(-5-1)(x+x)+(−5−1)
3 Simplify.
2x-62x−6
He would pay $14. Each juice bottle costs $2, so 7 bottles cost $14.
Answer: 
Step-by-step explanation:
Given: Fraction of 7th graders got A = 
Fraction of 7th graders got B = 
The fraction of the students got an A or B = Fraction of 7th graders got + Fraction of 7th graders got B
Hence, the required fraction:
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
