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3 years ago

In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

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Solve each equation (x+8)(x-2)=-9

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X=1, x=-7 would be the correct answer.

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P(−2, 3), Q(5, 3), R(5, −1), S(−2, −1) The perimeter of the figure is a units.

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3 years ago

In physics, Boyle’s law states that if the temperature is constant, then the pressure, P, of a gas is inversely proportional to

VMariaS [17]

The constant of proportionality for this situation is 425

Step-by-step explanation:

When a quantity is inversely proportional with another quantity, then

the product of the two quantities is constant

1. If y is inversely proportional with x

2. Then y ∝ $\frac{1}{x}$

3. that mean y = $\frac{k}{x}$ where k is the constant of variation

4. Then xy = k

∵ In physics, Boyle’s law states that if the temperature is constant

∵ The pressure, P, of a gas is inversely proportional to the volume,

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∴ P ∝ $\frac{1}{V}$

∴ P = $\frac{k}{V}$

∵ The pressure of the gas in a cylinder is equal to 250 kilo pascals

∵ The volume of the container is 1.7 cubic meters

- Substitute these values in the rule of variation to find k

∴ 250 = $\frac{k}{1.7}$

- Multiply both sides by 1.7

∴ k = 425

The constant of proportionality for this situation is 425

Learn more:

You can learn more about proportion in brainly.com/question/10708697

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3 years ago

Can someone PLEASE help me with this

Mekhanik [1.2K]

Answer:

4.5 u

Step-by-step explanation:

There are many ways to do it, the most easier is this:

Area=(b*h)/2

Area of ABD = (3*3)/2 = 4.5 u

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4 years ago

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Find the exact values of x and r

NemiM [27]

Answer:

Below

Step-by-step explanation:

You can use sine law to solve this : sina / A = sinb / B

We will first find side x

We know that since this is a special triangle that side will = 28, but we can prove this mathematically :

sin(45) / 28 = sin(45) / x

= 28 sin(45) / sin(45)

x = 28

Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :

c^2 = 28^2 + 28^2

= 1568

Square root this number

r = 39.597

The just round to however your teacher wants

If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.

Hope this helps! Best of luck.

3 0

3 years ago