Answer:
Graph of Modulus
The graph of a modulus or absolute value function is in a form of a 'V' shape whose vertex depends upon the coordinates. The equation for the graph is given as,
where,
(a, b) are the coordinates of the vertex of 'v' in the form of (x, y),
And h shows how wider or lean will be the function, for h=0, it is a straight line, while for a negative value the graph will face downwards and opposite for a positive value.
Given to us
y = |x-3|
On the coordinate plane
The graph will be in the shape of a 'V' whose vertex will lay at the coordinates (3, 0). As the value of a is 1 the graph will face upwards. As shown below on the graph.
Learn more about Modulus:
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Step-by-step explanation:
Answer:
y = 5 + 2x
Step-by-step explanation:
Simplifying
2y = 4x + 10
Reorder the terms:
2y = 10 + 4x
Solving
2y = 10 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 5 + 2x
Simplifying
y = 5 + 2x
Answer:
660
Step-by-step explanation:
First, let's find the prime factorization for both numbers.
132 = 11 x 12
12 = 3 x 4
4 = 2 x 2
<u>132 = 2 x 2 x 3 x 11</u>
60 = 5 x 12
12 = 3 x 4
4 = 2 x 2
<u>60 = 2 x 2 x 3 x 5</u>
Now, to find the lowest common multiple, we just need to multiply each number the most times it is seen in either number.
<u>132 = 2 x 2 x 3 x 11</u>
<u>60 = 2 x 2 x 3 x 5</u>
The first number is both is 2, which appears at most twice in either list so we will multiply two 2s to find the LCM.
Both numbers also have at most one 3, one 5, and one 11, so to find our LCM, we just need to multiply all these numbers together:
2 x 2 x 3 x 5 x 11 = 660
The LCM of 132 and 60 is 660.
Hope this helped!
