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3 years ago

Please help me with this question!

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

Answer:

The two-liter bottle of soda has a unit price of $0.028/ounce.

The case of twelve 12 ounces has a unit price of $0.021/ounce.

The case of twelve 12 ounce can is the better bargain.

Step-by-step explanation:

A two-liter bottle of soda i.e. 67.6 ounces cost $1.89.

So, the unit price (price/ounces) of this type of soda is $\frac{1.89}{67.6} = 0.028$ dollars per ounce.

Again, a case of twelve 12 ounce cans of the same soda costs $2.99.

So, the unit price (price/ounces) of this type of soda is $\frac{2.99}{12 \times 12} = 0.021$ dollars per ounce.

Therefore, the case of twelve 12 ounce can is the better bargain. (Answer)

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Step-by-step explanation:

Number #1 = x
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Paul [167]

Answer:

1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant

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To show that 2 is a zero, we want to find f(2):

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3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...

x = 2 (from above), x = 3, x = -1 (from our factorization)

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f(x) = (x +1)(x -2)(x -3)

The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).

The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.

There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.

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2 years ago

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