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tiny-mole [99]
3 years ago
8

COMPLETING THE SQUARE X^2– 2x +

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 ,  b = -2,  c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1  this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

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Which pair of functions have the same domain? A. F(x)= sin x and g(x) = tan x B. F(x) = cos x and f(x) = csc x C. G(x) = tan x a
EastWind [94]

Answer:

The correct choice is D

Step-by-step explanation:

The trigonometric functions, \sin x and \cos x are defined for all real numbers.

\tan x=\frac{\sin x}{\cos (x)}, this function is not defined where \cos x=0.

\cot x=\frac{\cos x}{\sin (x)}, this function is not defined where \sin x=0.

\csc x=\frac{1}{\sin (x)}, this function is not defined where \sin x=0.

For option A

The domain of f(x)=\sin(x) is all real numbers.

The domain of g(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

For option B

The domain of f(x)=\cos(x) is all real numbers.

The domain of f(x) =csc(x) is x\ne n\pi

For option C,

The domain of G(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

The domain of f(x) =cot(x) is x\ne n\pi

For option D;

The domain of f(x) =cot(x) is x\ne n\pi

The domain of f(x) =csc(x) is x\ne n\pi

3 0
3 years ago
Read 2 more answers
Marie has 8 hours to write a 45 page chatper for her book Marie writes at a constant speed of 4 pages per hour will Marie comple
zubka84 [21]

Answer:

She wont complete the book in book in time at 4 pages per hour has she will only write 32 pages in 8 hours

Step-by-step explanation:

Marie has 8 hours to write 45 page chapter

at 4 page per hours, in 8 hours, she will on write

8 × 4 = 32 pages

Therefore, she wont complete it in time at 4 pages per hour

5 0
3 years ago
The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:
jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

F(r)=\frac{GMr}{R^3}

r\geq R

F(r)=\frac{GM}{r^2}

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}

RHL

\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}

F(R)=\frac{GM}{R^2}

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0
3 years ago
In the lottery game known as 6/36, a player picks six numbers from 1 to 36. (a) How many different ways are there for the player
Goryan [66]

Answer:

Step-by-step explanation:

Part A

This is a combination problem. Order does not matter.

36C6

36!/(30! 6!)

36 * 35 * 34 * 33 * 32 * 31/ 6!

1402410240/6!

1947792

Part B

1 / (36C6)

0.000000513 or

0.0000005

3 0
3 years ago
Order them from least to greatest
ella [17]
8/3, 30/7, 40/9, 21/4
7 0
3 years ago
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