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Andreas93 [3]
3 years ago
6

How can long division be used to find the factors of polynomial functions?

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0
1 Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
2 Multiply the denominator by that answer, put that below the numerator.
3 Subtract to create a new polynomial. Hope this helps
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4. Which expression represents "4 less than the product of 2 and a number e"?
frutty [35]
The answer for this problem is c bc that’s what I think
3 0
3 years ago
read the following numbers and decide what the next number should be.( 12 ,21, 23, 32 ,34 ,43, 45..) is the answer 38, 54, 58, 0
ozzi

It'd be 54. Its flipping the numbers, adding two, flipping again, repeat.


6 0
3 years ago
In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the
Rama09 [41]

Answer:

P(x \le 3) = 0.2352

Step-by-step explanation:

Given

p = 0.35 --- male committing a crime in an episode

n = 5 -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

P(x) = ^nC_x * p^x * (1 - p)^{n-x

So, the required probability is represented as:

P(x \ge 3)

And will be calculated using:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2

P(x = 3) = 10 * (0.35)^3 * (0.65)^2

P(x = 3) = 0.1811

P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}

P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1

P(x = 4) = 5 * (0.35)^4 * (0.65)

P(x = 4) = 0.0488

P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}

P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0

P(x = 5) = 1 * (0.35)^5 * (0.65)^0

P(x = 5) = 1 * (0.35)^5 * 1

P(x = 5) = 0.0053

So:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x \le 3) = 0.1811 + 0.0488 + 0.0053

P(x \le 3) = 0.2352

4 0
2 years ago
Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3
makkiz [27]

Answer:

$1456.25

Step-by-step explanation:

Given data

P= $1,250

t= 3 years

r=5.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=  1250(1+0.055*3)

A=  1250(1+ 0.165)

A= 1250(1.165)

A= 1456.25

Hence the amount after 3 years is $1456.25

8 0
3 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
vagabundo [1.1K]

Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to y_v.
  • If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to y_v.

In this problem, we have that:

  • a = -1 < 0, hence the vertex is a maximum point.
  • The vertex is (-2,9).

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

More can be learned about the vertex of a parabola at brainly.com/question/24737967

#SPJ1

5 0
2 years ago
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