If x=2+√3,then find the value of x-1/x

Answers

Answer 1

Answer: A :-) x = 2+_/3
x-1/x = 1/2+_/3
( rationalize the denominator )
x-1/x = 1/2+_/3 x 2 -_/3/2 - _/3
[ ( a + b ) ( a - b ) = a^2 -b^2 ]
x-1/x = 2 - _/3/( 2 )^2 - ( _/3 )^2
x-1/x = 2 - _/3/4 - 3
x-1/x = 2 - _/3/1
x-1/x = 2 - _/3
x-1/x = ( 2+_/3 ) ( 2 - _/3 )
x -1/x = ( 2 )^2 - ( _/3 )^2
( x = 2+_/3 )
x-1/x = 4 - 3
x-1/x = 1

.:. The value of x-1/x is 1 .

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Which function has the greatest y-intercept?

Answers

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

$f(x)=4x+5$

Substitute x=0 in the given function, to find the y-intercept.

$f(0)=4(0)+5=5$

The y-intercept of f(x) is 5.

From the given graph it is clear that the y-intercept of g(x) is 2.

The third function is

$h(x)=3\sin (2x+\pi)-2$

Substitute x=0 in the given function, to find the y-intercept.

$h(x)=3\sin (2(0)+\pi)-2$

$h(x)=3\sin (\pi)-2$

$h(x)=3(0)-2$

$h(x)=-2$

The y-intercept of h(x) is -2.

$5>2>-2$

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

Final answer:

The greatest y-intercept in a function refers to the function that intersects the y-axis at the highest point. We can determine this by checking the 'b' term in the equation y = mx + b.

Explanation:

To determine which function has the greatest y-intercept, you would need to examine the 'b' term in the equation y = mx + b, which represents the y-intercept. This is the point where the function intersects the y-axis. In other words, it's the y-value where the function begins. For example, within the information provided, 'ŷ-266.8863 + 0.1656x' seems to have the largest y-intercept at 266.8863.

Now consider having graphs of multiple functions; the one that intersects the y-axis at the highest point (the largest y-value) has the greatest y-intercept.

For straight lines, their slope remains the same along the line (as demonstrated in the mention of 'Figure A1 Slope and the Algebra of Straight Lines'). It's the y-intercept that determines where on the y-axis the line begins, helping us distinguish one line from another if their slopes are identical.

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I have no idea what im doing

Answers

Answer:

x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

Let's factorize the numerator and denominator:

3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

We have same factor of x + 6:

x + 6 = 0
x = - 6 is a hole

Factor denominator to 0

x²+2x-24=0
(x+6)(x-4)=0
x={-6,4}

Factor numerator

3x²-108=0
3(x²-36)=0
3(x+6)(x-6)=0
x={-6,6}

x=-6 is the hole as it's common

Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work together, how long will it take them to paint the fence?

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If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted. If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5). We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence. 1/4 + 2/5 = 1/x. Find a common denominator first, then add the left side together. 5/20 + 8/20 = 1/x. 13/20 = 1/x. Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.

The answer to the problem 5 x (4 + 1) is called a _____.A) sum
B) difference
C) product
D) quotient

Answers

The answer to the problem 5 x (4 + 1) is called a C) product.

Given is an expression 5 x (4+1), we need to tell which mathematical operation dose it shows.

In mathematics, the term "product" refers to the result obtained when two or more numbers are multiplied together.

In this case, the numbers involved are 5 and (4 + 1). The expression (4 + 1) is first evaluated inside the parentheses, which results in 5.

Then, the multiplication is performed: 5 x 5 = 25.

So, the correct answer is C) product.

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Remember in PEMDAS (P = Parenthesis, E = Exponent, M = Multiplication, D=Division, A= Addition, S= Subtraction), you always do the Parenthesis or Brackets first. So your equation will become 5 x 5 in the end. Therefore the answer is "C) product".

Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. Which of the stock prices listed below would give the P/E ratio she is looking for?I. $18 a share
II. $19 a share
III. $20 a share

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The right answer for the question that is being asked and shown above is that: "III. $20 a share ." Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. The stock prices listed below would give the P/E ratio she is looking for is that III. $20 a share

What does -4x + 9x equals

Answers

5x
just think of it as -4 + 9 because the variables are the same

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