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Gnesinka [82]
2 years ago
15

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what

does that tell him?
Mathematics
1 answer:
Annette [7]2 years ago
4 0

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

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Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with \mu=23.3\ cm and \sigma=1.3\ cm.

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or​ smaller :-

P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%

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3 years ago
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guapka [62]

Answer:

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A fruit juice company includes 1.197 ounces of apple juice in a 6.75​-ounce bottle of a mixed fruit juice. How much of the bottl
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Carla is going to arrange her 4 books on a shelf: Algebra, Trigonometry, Geometry and Calculus. How many different possible arra
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Arranging of books is an illustration of permutation and combination

There are 24 different possible arrangements she can make

<h3>How to calculate the number of arrangement</h3>

The number of books is given as:

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Read more about permutation and combination at:

brainly.com/question/1216161

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