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3 years ago

5

A teacher grades 27 students' essays in 3 hours. How many essays can she grade in 8 hours if she spends the same amount of time

grading each essay?

2 answers:

laiz [17]3 years ago

6 0

<h3>answer. she can grade 72 papers in 8 hours</h3>

Explanation:

hope you do well

Pani-rosa [81]3 years ago

6 0

In 8 hours, the teacher will be able to grade at least 72 essays if she takes the same amount of time on each one.

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Answer: o (x - 11)(x - 1)

Explanation:

You can find two values that has a sum of -12 and a product of 11:

$x^{2} -12x+11\\(x-11)(x-1)$

Or you can use the quadratic formula:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

Where:

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2 years ago

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What it means that [If x is a factor of p(x), what is the value of k?]

kompoz [17]

Answer:

$k = -4$

Explanation:

Given

$P(x) = (3x^2 - 5)(x + k) - 20$

x is a factor

Required

Solve for k

x is a factor means that the polynomial can be divided successfully by x.

In other words, x is a zero of the polynomial.

i.e.

$x = 0$ and $P(x) = 0$

Substitute 0 for x in P(x)

$P(x) = (3x^2 - 5)(x + k) - 20$

$P(x) = (3*0^2 - 5)(0 + k) - 20$

$P(x) = (0- 5)(k) - 20$

$P(x) = (-5)(k) - 20$

$P(x) = -5k - 20$

Substitute 0 for P(x)

$0 = -5k - 20$

Collect Like Terms

$5k = - 20$

Divide both sides by 5

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On a related note, chemical elements with the same number of valence electrons are found in the same column of the periodic table.

In conclusion, the rows of a periodic table are referred to as periods while the columns are referred to as groups.

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FrozenT [24]

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