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4 years ago

The number 2 in the expression 5 + 2x is called the

Mathematics

1 answer:

steposvetlana [31]4 years ago

4 0

Answer:

Step-by-step explanation:

The coefficient of x is simply a number. The x gives it it's meaning. So if the coefficient of x changed from 2 to 6 that would mean there would 6 x's being added to five, not 2.

For example if x=2.

instead of 5 + 2*2

(which equals 9)

it would be 5 + 6*2

(which equals 17).

The difference between the answers is 4x, as there are an additional 4x's.

Hope this helps :)

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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3 years ago

What is the percentage of 13/16

Fed [463]

13/16= 0.8125

Hope this helps!

7 0

3 years ago

Read 2 more answers

What is the solution to this system of equations?

antoniya [11.8K]

Answer:

Step-by-step explanation:

Since both equations express y in terms of x we can equate the right sides

3x + 5 = - x + 3 ( add x to both sides )

4x + 5 = 3 ( subtract 5 from both sides )

4x = - 2 ( divide both sides by 4 )

x = - 0.5

substitute x = - 0.5 in either of the 2 equations

using y = - x + 3 then y = 0.5 + 3 = 3.5

solution is (- 0.5, 3.5 ) → c

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3 years ago

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skad [1K]

Answer:

75.4

Step-by-step explanation:

v = pi * r^2 * h

v = 3.14 * 4 * 6

v= 3.14 * 24

v= 75.36 m^3

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3 years ago

Amanda is doing a show for 6.99 a minute and only receives 20% OF THE DOLLAR of that from her company. If she does a show for 10

maw [93]

Answer:

Step-by-step explanation:

22 dollars

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3 years ago

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