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).
Answer:
C. Claire has 10 country CDs and 5 Jazz CDs
Step-by-step explanation:
means that 10 out of 15. So we can assume that in total she has 15 CDs and 10 of them are Country and the other is Jazz.
This would rule out choice D.
If we reduce this fraction then we would have:
This means that two-thirds of her CDs are country music. So this would rule out A and B choices.
Now C is correct because 10 country plus 5 Jazz is equal to 15 CDs. So we have the correct total.
The answer is C.
.1225,.12, 7/125 the other fraction equals .12
Answer: 2.5, 2, 3/2, 0.2, 0, -1/2, -1
Step-by-step explanation:
From left to right biggest number
i think the answer would be C
