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ElenaW [278]
3 years ago
7

It takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

70

Step-by-step explanation:

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Erick’s dog house has an area of 15 feet. What is the perimeter of the house
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We can assume that Erick’s dog house has a perimeter of 3.75, but then again we don’t know the shape of the doghouse (rectangle, square, etc.). If the doghouse is a square,3.75 on each side (4 sides) because 3.75(4) equals to 15
7 0
3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

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).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

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}.

4 0
2 years ago
Whats 2.5/6 = h/9 what does h equal to
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Answer:

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Step-by-step explanation:

2.5/6

2.5+6

=

2.6

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Answer:

55.6 yards

Step-by-step explanation:

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