Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
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If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
The answer is 10 whole loaves.
We get this answer by dividing 8 by (3/4).
Which results in decimal points as 10.6.
Therefore meaning only 10 loaves were whole.
Answer:
C
Step-by-step explanation:
The lines mean the distance away from 0. When i say lines, I mean the two "l" that accompany the numbers. I forgot what there called (good job me).
Since we want to know how far apart they are, we need to add them.
Answer:
2
Step-by-step explanation:
The easiest thing is to convert it to an improper fraction.
-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.
-19/9 - (-37/9) here you would add because you are subtracting a negative number.
-19/9 + 37/9 change it to positive and then add.
-19+37=18
it was 18/9. that simplified is 2.
