Answer:
B
Step-by-step explanation:
In a function, each input (x) must match with one output (y). So, if there are two sets of coordinates with the same y value, that's not a function.
Take logs of both sides:-
ln 625^x = ln 5
x * ln 0.625 = ln 5
x = ln 5 / ln 625
x = 0.25 answer
<u>The concept:</u>
We are given the equation:
Which can be simplified as:
Since any number to the power '0' is 1
x² - x must be equal to 0 for the given equation to be true
<u></u>
<u>Solving for x:</u>
x² - x = 0
x(x-1) = 0
now, we can divide both sides by either x OR x-1
So we will see what we get for either choice:
x = 0/(x-1) x-1 = 0/x
x = 0 x = 1
Hence, the value of x is either 0 or 1
Write 0.055 as
0.055
1
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.055
1
The factors of 55 are: 1 5 11 55
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 55 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
=
0.055 x 1000
1 x 1000
=
55
1000
In order to reduce the fraction find the Greatest Common Factor (GCF) for 55 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
Answer ( 55/1000
= 11/200)
