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3 years ago

Simplify. 21. (2x^4- 6x^3 + x^2 - 3x - 3) / (x - 3)

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

https://www.tiger-algebra.com/drill/2x~4-6x~3-x~2_3x/

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What is the image of the point (0, 5) after the reflection over the line x = 5?

avanturin [10]

Answer:

(10, 5)

Step-by-step explanation:

(0, 5) reflected over x=5 becomes 10 units away from x = 0

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3 years ago

A chair is on sale at a price of £20.80. This is a 20% reduction of the normal price what was the price of the chair before the

Vladimir [108]

Answer:

Explanation is in photo

Step-by-step explanation:

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3 years ago

Find all solutions in the interval from [0,2pi) 2cos(3x)= -sqrt{2}

algol [13]

Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

Step-by-step explanation:

Find all solutions in the interval from [0,2pi)

$2cos(3x)= -\sqrt{2}$

⇒ $2cos(3x)= -\sqrt{2}$

⇒ $\frac{2cos(3x)}{2}= \frac{-\sqrt{2}}{2}$

⇒ $cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-2}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-1}{{\sqrt{2}}}$

⇒ $cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})$

⇒ $3x=\pm \frac{\pi}{4}$

⇒ $x=\pm \frac{\pi}{12}$

Cosine General solution is :

$x = \pm cos^{-1}(y)+ 2k\pi$

⇒ $x = \pm \frac{\pi}{12}+ 2k\pi$ , k is any integer .

At k=0,

⇒ $x =\frac{\pi}{12}$ ,

At k=1,

⇒ $x = - \frac{\pi}{12}+ 2\pi$

⇒ $x = \frac{23\pi}{12}$

Therefore , Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

5 0

3 years ago

Solve the system 8y-5z=23 3y-2z=6 100 POINTS

Hatshy [7]

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

6 0

3 years ago

Read 2 more answers

you want to deposit 15000 in a bank at an interest rate of 7 percent per year. what is the future value of this money after thre

Stolb23 [73]

Approximately about $18,490

PV= $15,000 
FV= solve for 
PMT= 0 
I/YR= 7% 
N= 36 

put these in your HP II calcu and you will get the approximate answer.
- b
e
x
t
e
m
(FAIL HARD)

3 0

4 years ago