Assuming you meant to write
, then you can simplify this by first factoring the numerator and denominator.
Notice that (x+6) is common to the numerator and denominator. You can cancel this factor so long as you remember to exclude 6 from the domain.
Simplifying further, you have
, where x ≠ 6, x <span>≠ 7.</span>
Answer:
-19.8
Step-by-step explanation: if correct brainlist?
The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:
concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%
Probability of winning a grand prize is 1/10
Probability of winning a basic prize is 11/20
What is the probability of two independent events?
If A and B are two independent events, then P(A and B) = P(A) * P(B).
If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).
Solution:
P(A) = no. of A / total possibility
= 4/10
P(B) = no. of 1's/total possibility
= 3/12
= 1/4
Now,
To win a grand prize you need an "A" and "1" .
∴ P(A and B) = P(A) × P(B)
= 4/10 × 1/4
P(A and B) = 1/10
Now ,
To win a basic prize you need to spin an "A" or a "1"
∴ P(A or B) = P(A) + P(B) - P(A and B)
= 4/10 + 1/4 - 1/10
= 3/10 + 1/4
∴ P(A or B)= 11/20
To learn more about probability of independent events click on the link below:
brainly.com/question/16157262
#SPJ4
Answer:
Factors of kmn are 1, k, m, n, km, mn, kn and kmn
Step-by-step explanation:
Given: k, m, and n are prime numbers
To find: factors of k∙m∙n
Solution:
A number is said to be prime if it has exactly two factors: 1 and the number itself
x is said to be a factor of y if x can divide y exactly.
Here,
1 can divide kmn
k can divide kmn
m can divide kmn
n can divide kmn
km can divide kmn
kn can divide kmn
mn can divide kmn
kmn can divide kmn
So, factors of kmn are 1, k, m, n, km, mn, kn and kmn