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Volgvan
2 years ago
9

The function p(x) = 25x represents the number of pages p(x) a printer can print in x minutes. How many pages can the

Mathematics
1 answer:
Rashid [163]2 years ago
7 0

Answer:

7,500 Pages

Step-by-step explanation:

So this printer can prink 25 pages in 1 (x) minute.

There are 60 minutes in an hour and we are waiting 5 hours, so 5x60 = 300 minutes.

Then you take the 300 and plug it in for x because that is how many minutes we are waiting for.  Now your equation should look like this:

p(x) = 25(300)

Next you multiply 25 x 300 and you get 7,500 pieces of paper

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Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
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Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

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Step-by-step explanation:

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8.25+ 1/4w=10.75

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Answer:

Step-by-step explanation:

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