Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
Answer:
x = 1
Step-by-step explanation:
1/2x - 3/4 = 3/8 - 5/8x
The LCD is 8. Lets change every fraction to a denominator of 8.
4/8x - 6/8 = 3/8 - 5/8x
Now multiply both sides by 8.
4x - 6 = 3 - 5x
Add 5x to both sides. Add 6 to both sides.
9x = 9
Divide both sides by 9.
x = 1
<h2>
Hello!</h2>
The answer is:
The simplified fraction is:

<h2>Why?</h2>
To solve this problem we must remember the following:
- Addition or subtraction of fractions, we add or subtract fractions by the following way:

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

- Convert mixed number to fraction,

So, solving we have:


Hence, the simplified fraction is:

Have a nice day!
Answer:
Step-by-step explanation:
Given that the mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
X is N(25, 1)
a) Normal curve is in the attached file
b) the probability that a randomly selected fertilized egg hatches in less than 23 days
=
we convert x into Z score and use std normal distn table to find probability

i.e. we can say only 2.5% proportion will hatch in less than 23 days.