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denis23 [38]
2 years ago
12

When converted to a fraction and reduced to simplest terms, which number will have

Mathematics
1 answer:
maks197457 [2]2 years ago
6 0

Answer: 0.720

Step-by-step explanation:

0.720 = 18/25

0.51 = 51/100

0.144 = 18/125

0.023 = 23/1000

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A is the correct choice
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Ebony earned scores of 72 70, 81, 99, and 88 on five math tests. Determine her
Minchanka [31]

Let it be x

\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}

\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83

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\\ \sf\longmapsto 410+x=498

\\ \sf\longmapsto x=498-410

\\ \sf\longmapsto x=88

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Find the horizontal asymptote for each function<br> and tell the reason for your answer.
madreJ [45]

Answer:

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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
WILL GIVE BRAINLIEST!!!! it looks like an explanation but i just need an answer!!
Slav-nsk [51]

Answer:

5: 60

6: 30

Step-by-step explanation:

just a matter of multiplying all the possible values

5: 5 pants X 4 shirts X 3 shoes

6: 10 numbers (0-9) X 3 variations (right, left, right,)

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