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3 years ago

What is the constant term in the expression 8xy − 9x^2 y − 5x + 6?

Mathematics

2 answers:

pishuonlain [190]3 years ago

8 0

The constant term should be +6

laila [671]3 years ago

8 0

Answer:

The constant term should be +6

Step-by-step explanation:

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There are 100 tabs of acetaminophen in one bottle. There are 650mg in 2

Minchanka [31]

There are 32,500 mg of acetaminophen in one bottle. If you divide the 650mg by 2 to get 325mg for one tablet. You can then multiply that by 100 to get your answer.

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3 years ago

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:

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

4 0

3 years ago

8x - 3(5 + 9x what's the simplified algebraic expression p

Mashcka [7]

=8x + (-3) (5) + (-3) (9x)

=8x + -15 + -27x

(8x + -27x) + (-15)

19x +-15

19x -15

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3 years ago

Terry sees this offer. 35% off refurbished phone, now only £78. What was the orginal price?

KengaRu [80]

35% off means that now it costs 100%-35%=65% of the original price

£78 ---- 65%
x------100%

x=78*100/65=120£

or
part/whole=0.65
78/whole=0.65
whole =78/0.65 =120 £

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3 years ago

3 7/8- 3/8 I really need help!

Eddi Din [679]

Answer:

 $3\frac{1}{2}$ 

Step-by-step explanation:

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3 years ago

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