Ask question

Ask question

All categories

3 years ago

15

If x>2, then x^2-a-6 / x^2-4=

1 answer:

nadezda [96]3 years ago

7 0

We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
$\frac{(x-3)(x+2)}{(x-2)(x+2)}= \frac{x-3}{x-2}$

You might be interested in

How do you do this question?

Step2247 [10]

Answer:

D

Step-by-step explanation:

$f(x)=(x-1)(x^2+2)^3\\f'(x)=(x-1)*3(x^2+2)^2*2x+(x^2+2)^3*1\\f'(x)=6x(x-1)(x^2+2)^2+(x^2+2)^3\\f'(x)=(x^2+2)^2[6x^2-6x+x^2+2]\\f'(x)=(x^2+2)^2(7x^2-6x+2)\\D$

7 0

3 years ago

Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make

meriva

Answer:

Step-by-step explanation:

10 mins

4 0

3 years ago

9000 is 10 times as much as?

Zanzabum

Answer:

900

Step-by-step explanation:

4 0

3 years ago

2 5 ÷ 6 7 Give your answer as a fraction in its simplest form.

Bas_tet [7]

Answer:

2.68

Step-by-step explanation:

25/67 = 2.68

3 0

3 years ago

Nick bought a new car.

ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

$A(t) = A(0)(0.88)^t$ .

It halves in value at t years, for which A(t) = 0.5A(0), hence:

$A(t) = A(0)(0.88)^t$

$0.5A(0) = A(0)(0.88)^t$

$(0.88)^t = 0.5$

$\log{(0.88)^t} = \log{0.5}$

$t\log{0.88} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.88}}$

t = 5.42.

It takes 5.42 years for the car to halve in value.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

9 0

2 years ago