Mathematics: What is the solution set to the equation (2x−4)(4x−5)=0

Option CStep-by-step explanation:Let X be a discrete random variable that counts the number of siblings a randomly selected student has. Then the expected value of X is defined as:Where is the probability that a randomly selected student has siblingsWith So in this case we know that #of siblings 0 1 2 3 4 5probability 0.20 0.65 0.08 0.04 0.02 0.01Therefore:The answer is the option C....

What is the solution set to the equation (2x−4)(4x−5)=0

Ответ:

stefancvorovic1

12.03.2022

Mathematics

$\left \{ 2,\frac{5}{4} \right \}$

Step-by-step explanation:

We know that for equation of type , solutions are $x=a\,,\,x=b$ as both points x = a and x = b satisfy the equation (x-a)(x-b)=0

Given : equation (2x−4)(4x−5)=0

To find : Solution set of this equation .

Solution :

On dividing this equation by 2 and 4, we get

$\left ( \frac{2x-4}{2} \right )\left ( \frac{4x-5}{4} \right )=0\\\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0$

On comparing equation $\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0$ with $\left ( x-a \right )\left ( x-b \right )=0$ , we get $a=2\,,\,b=\frac{5}{4}$