All categories

3 years ago

Find the inverse of the function: y=log₂(-4x)

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

You might be interested in

Solve for b<br> 2(-2b+3)=9

Alexxx [7]

Answer:

b=-3/4 or b=-0.75

Step-by-step explanation:

$2(-2b+3)=9$

$2b+3=\cfrac{9}{2}$

$-2b=\cfrac{9}{3} -3$

$-2b=\cfrac{3}{2}$

$b=-\cfrac{\frac{3}{2} }{2}$

$b=-\cfrac{3}{2\times 2}$

$b=-\cfrac{3}{4}$

Hope it helps! :)

7 0

2 years ago

What is the slope for a line containing the following points? (-3,5) (3,1)

Jlenok [28]

Step-by-step explanation:

$y2- y1 \x2 - x1$

3 0

2 years ago

An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov

babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this. This will give us the two times that the object is at exactly 500 meters. The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using our values for a, b and c,

$x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656$

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds. This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0

3 years ago

Select all the values that are equivalent to the given expression. Express your answer in scientific notation.

Anna35 [415]

Answer:

the first and last ones

Step-by-step explanation:

5 0

2 years ago

Chelsea spent half of her weekly

Anvisha [2.4K]

Answer:

I believe it would be 16

Step-by-step explanation:

8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance

Final answer: Her allowance would be 16 dollars

3 0

2 years ago