Answer:
The solution of the system of equation is x = 3.5
Step-by-step explanation:
The given system of equation is;
f(x) = 3·x + 5 and g(x) = x + 12
To find the common solution, we equate the values of both functions as follows;
3·x + 5 = x + 12
We collect like terms;
3·x - x = 12 - 5
2·x = 7
x = 7/2 = 3.5
x = 3.5
Therefore, the solution of the system of equation is x = 3.5
Answer:
seven hundred and thirty five point nine
Step-by-step explanation:
Answer:
the events of using Brand Z computers and quitting your job are independent.
Step-by-step explanation:
Let A be the event that the population used Brand Z computers and let B be the event that the population quit their jobs.
We are told that 50% of the population used Brand Z computers last year. Thus, the probability of event A is;
P(A) = 50% = 0.5
Also, we are told that 4% of the population quit their jobs last year. Thus the probability of event B is;
P(B) = 4% = 0.04
Since 2% of the population used Brand Z computers and then quit their jobs. Then the probability of the population used Brand Z computers and then quit their jobs is;
P(A ∩ B) = 2% = 0.02
From the law of independent events, if A and B are to be independent events, then;
P(A ∩ B) = P(A) × P(B)
Thus;
P(A ∩ B) = 0.5 × 0.04 = 0.02
This is same value as what was given in the question, thus the events of using Brand Z computers and quitting your job are independent.
Answer:
The correct answer will be explained if you answer this short riddle.
If cinderellas shoe fits perfectly, then why did it fall off?
Step-by-step explanation:
Answer:
range: {-27, -11, 5, 25}
Step-by-step explanation:
Evaluating the function for the given domain values gives the range values ...
{-27, -11, 5, 25}
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For example, 4(-5)-7 = -20-7 = -27.
It's a matter of doing the arithmetic. A spreadsheet or calculator that works with lists can be helpful.
