Answer:
All numbers can be written as a product of the prime numbers that conform them.
A) Find two numbers with a common factor of 3 only.
for example:
2*3 = 6
7*3 = 21
Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.
B) Write a pair of numbers with a common factor of 2, 3 and 6.
Here we can write:
2*3*2 = 12
3*2*5 = 30
Those two numbers have the common factors 6, 2 and 3.
C) Write a pair of numbers with common factors of 3, 6 and 9.
3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)
-3*2*6 = -36
Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)
Answer:
x = 6
Step-by-step explanation:
QRST is a square.
QR = RS (sides of a square are equal)
7x - 10 = 5x + 2
7x - 5x = 10 + 2
2x = 12
x = 12/2
x = 6
The answer will be C. I hope this helped you! ^^
The expression which represents the function required to be generated; (f +g)(x) as in the task content is; 13x -2.
<h3>What is the expression which represents the function required?</h3>
It follows from the function definitions in the task content that the functions given are;
f(x) = 4x +5
g(x) = 9x -7
Hence, the value of (f +g)(x) = f(x) + g(x) and ultimately;
= 4x +5 + 9x -7
= 13x -2
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The independent events are illustrations of probability, and the value of P(B) is 0.40
<h3>How to determine the value of P(B)?</h3>
The given parameters are:
P(A) = 0.50
P(A and B) = 0.20
Two events A and B are independent, if
P(A and B) = P(A) * P(B)
So, we have:
0.50 * P(B) = 0.20
Divide both sides by 0.50
P(B) = 0.40
Hence, the value of P(B) is 0.40
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