The two strands of Decorative light will shine at same time after every 15 seconds.
<h3>What is defined as the Highest common factor?</h3>
- The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
- As a result, it is also known as the greatest common factor (GCF).
- There isn't an exact formula for determining the greatest common factor of two numbers.
- However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.
The stated condition are-
The light strand one change color every 30 seconds.
The light strand second change color every 45 seconds.
Prime factorization of both number are;
30 = 2×3×5
45 = 3×3×5
The numbers with highest power are;
HCF(30, 45) = 3×5 = 15.
Thus, the time after which both the light strands will change colour at the same time is 15 seconds.
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Answer:
The Answer is: y - 8 = 5/3(x - 3)
Step-by-step explanation:
Given the y intercept form:
y = 5/3x + 3
Note that the slope is 5/3.
Find a point on the line.
Choose x = 3, solve for y:
y = 5/3(3) + 3
y = 5 + 3
y = 8
This give you the point:
(3, 8)
Use this to substitute into the point slope equation:
y - y1 = m(x - x1)
y - 8 = 5/3(x - 3)
Answer:
Match it with x and y method
Step-by-step explanation:
Answer:
f(3) = 15. Correct: D)
Explanation:
<u>Numeric Value of a Function</u>
The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3



A) Incorrect. f(3) is not 7
B) Incorrect. f(3) is not 10
C) Incorrect. f(3) is not 9
D) Correct. f(3) =15 as found above.
8 x 5 = 40
40 x 18 = 720
Hope this helps!