The price of oranges went from $.90 per lb to $1.20 per lb in five years. Find the rate of change of the price of oranges.

Which equation can you solve to find the potential solutions to the equation log2x log2(x – 6) = 4? x2 – 6x – 4 = 0 x2 – 6x – 8

sergeinik [125]

To solve the question we must know about Logarithm.

<h2>Logarithm</h2>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

$\rm{log_{10}1000=3$

The value of input can not be negative, the value of x is 8.

<h2>Given to us</h2>

$\rm{ log_2x+log_2(x-6)= 4$

<h2>Solution</h2>

$\rm{ log_2x+log_2(x-6)= 4$

Using $log_ab + log_ac = log_a(bc)$ ,

$\rm{ log_2x(x-6)= 4$

Taking antilog,

$x(x-6)= 2^4$

Doing factorization

$x^2 -6x -16=0\\
x^2 -8x +2x-16=0\\
x(x-8)+2(x-8)=0\\
(x+2)(x-8) = 0$

Equating factors against 0,

1. $(x+2)=0\\
x=-2$

2. $(x-8)=0\\
x=8$

As the value of input can not be negative, the value of x is 8.

Hence, the value of x is 8.

Learn more about Logarithm:

brainly.com/question/3072484

8 0

2 years ago

Don’t mind the Answer D I circle can someone explain the answer to me 25 point if no explanation and answer I flagged

Kruka [31]

Answer:

(A) 49

Explanation:

Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.

Breakdown:

Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.

Option B (50) is a multiple of 5. An even number like 4 so can be simplified.

Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.

Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.

4 0

2 years ago

Which rule describes rotating 90° counterclockwise?

Serhud [2]

The first one answer

3 0

3 years ago

Let event A = You roll an even number on the first cube.Let event B = You roll a 6 on the second cube.Are the events independent

Gnesinka [82]

The events are independent. By definition, it means that knowledge about one event does not help you predict the second, and this is the case: even if you knew that you rolled an even number on the first cube, would you be more or less confident about rolling a six on the second? No.

An example in which two events about rolling cubes are dependent could be something like:

Event A: You roll the first cube

Event B: The second cube returns a higher number than the first one.

In this case, knowledge on event A does change you view on event B (and vice versa): if you know that you rolled a 6 on the first cube you don't want to bet on event B, while if you know that you rolled a 1 on the first cube, you're certain that event B will happen.

Conversely, if you know that event B has happened, you are more likely to think that the first cube rolled a small number, and vice versa.

8 0

3 years ago

Carl is boarding a plane he has two checked bags of equal weight and backpack that weighs 4 kg the total weight of Carl’s backpa

Tresset [83]

Answer:

Carl's checked bags way 15.5 kilograms each.

Step-by-step explanation:

35-4=31 -> 31÷2=15.5

7 0

3 years ago