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3 years ago

Find the remainder, if (f) = x3 – 4x² - 5is divided by x-3

Mathematics

1 answer:

OLga [1]3 years ago

5 0

Answer:

f(3)=3³-4*3²-5

=27-36-5

Step-by-step explanation:

This is the answer of your question.

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What is the value of 3x^2 + 5x + 25, when x = 3<br> (3x^2 means 3x squared)

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I got 67 but I can guarantee it’s right

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3 years ago

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).

Reil [10]

Answer:

Part A) $sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}$

Part B) $tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) $sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}$

Step-by-step explanation:

Part A) Find $sin(\alpha)\ and\ cos(\beta)$

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sin(\alpha)=cos(\beta)$

Find the value of $sin(\alpha)$ in the right triangle of the figure

$sin(\alpha)=\frac{8}{14}$ ---> opposite side divided by the hypotenuse

simplify

$sin(\alpha)=\frac{4}{7}$

therefore

$sin(\alpha)=\frac{4}{7}$

$cos(\beta)=\frac{4}{7}$

Part B) Find $tan(\alpha)\ and\ cot(\beta)$

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$tan(\alpha)=cot(\beta)$

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

$14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132$

$x=\sqrt{132}\ units$

simplify

$x=2\sqrt{33}\ units$

Find the value of $tan(\alpha)$ in the right triangle of the figure

$tan(\alpha)=\frac{8}{2\sqrt{33}}$ ---> opposite side divided by the adjacent side angle alpha

simplify

$tan(\alpha)=\frac{4}{\sqrt{33}}$

therefore

$tan(\alpha)=\frac{4}{\sqrt{33}}$

$tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) Find $sec(\alpha)\ and\ csc(\beta)$

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sec(\alpha)=csc(\beta)$

Find the value of $sec(\alpha)$ in the right triangle of the figure

$sec(\alpha)=\frac{1}{cos(\alpha)}$

Find the value of $cos(\alpha)$

$cos(\alpha)=\frac{2\sqrt{33}}{14}$ ---> adjacent side divided by the hypotenuse

simplify

$cos(\alpha)=\frac{\sqrt{33}}{7}$

therefore

$sec(\alpha)=\frac{7}{\sqrt{33}}$

$csc(\beta)=\frac{7}{\sqrt{33}}$

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3 years ago

Defina qué es el producto de un vector por un escalar

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Answer: c

Step-by-step explanation:

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2 years ago

What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925? A. l.054 B.

stiks02 [169]

Answer:

126.5

Step-by-step explanation:

Given :The monthly rent for each unit is $925

To Find : What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925?

Solution:

Annual Gross Rents = $925

Property Value = $234,000

For answer to be 126.5 , $925 must be semiannual rent

So, annual rent = 925*2

Formula : Property Value = Annual Gross Rents X Gross Rent Multiplier (GRM)

Substitute the values :

$234000=925 \times \text{Gross Rent Multiplier}$

$\frac{234000}{925 \times 2}= \text{Gross Rent Multiplier}$

$126.5 = \text{Gross Rent Multiplier}$

Hence The GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925 is 126.5

So, Option D is true .

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3 years ago

Identify the graph that displays the height of a ping pong ball after it is dropped

sweet-ann [11.9K]

Answer:

whaaaaa???? where are the graphs?

Step-by-step explanation:

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3 years ago

Find the remainder, if (f) = x3 – 4x² - 5is divided by x-3​

Find the remainder, if (f) = x3 – 4x² - 5is divided by x-3