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kogti [31]
2 years ago
5

Yo i need help please i need the correct answer i will give u a brainliest to please just help me

Mathematics
1 answer:
kiruha [24]2 years ago
6 0

Answer:

a

Step-by-step explanation:

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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
If i started at 11:40 A.M. And my elapsed time was 5 hours and 20 minutes. What is my end time?
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Answer:

5:00 pm

Step-by-step explanation:

11:00 + 5 is 4.00 so you'd be a 4:40 + 20 minutes, that ranks up another hour so its at 5:00 pm

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3 years ago
What is the reflection of the point (1.7, -4.9) across the x axis
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(-1.7, -4.9) 

to reflect across the x-axis multiply the x-value by negative 1

8 0
3 years ago
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seagull is flying at 125 feet above sea level. A dolphin is swimming 23 feet below sea level. What is the distance in feet betwe
hjlf

Answer:

102 feet.

Step-by-step explanation:

-23ft + 125ft = 102 ft

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