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2 years ago

Use the Remainder Theorem to determine which binomial is a factor of the function f(x) = x3 − 2x2 − 19x + 20.

Mathematics

2 answers:

meriva2 years ago

7 0

Answer:

Hey, you spelled this equation wrong and that is why you can't get a correct answer, doofus

Step-by-step explanation:

dybincka [34]2 years ago

3 0

Answer:

(x - 1)

Step-by-step explanation:

Given

f(x) = x³ - 2x² - 19x + 20

The sum of the coefficients is 1 - 2 - 19 + 20 = 0

This means that x = 1 is a root and (x - 1) is a factor of f(x)

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Step-by-step explanation: am here to help

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2 years ago

Given that LON is a right angle, find the measure of x.

sveta [45]

Answer:

$x=30\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

$2x+x=90$

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4 0

2 years ago

If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

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1 year ago

Write the ratio for cos B

Bingel [31]

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6 0

3 years ago

Read 2 more answers

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x

makvit [3.9K]

Answer:

$f(x) = 15x - 200$

Step-by-step explanation:

Given

$Earnings = \$10$ per hour for 40 hours, weekly

$Additional\ Hour = \$15$ per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

$f(x) = 400 + (x - 40) * 15$

$f(x) = 400 + 15x - 600$

$f(x) = 15x - 600 + 400$

$f(x) = 15x - 200$

8 0

2 years ago