Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
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Answer:
y = 1/2x - 7
Step-by-step explanation:
y = 1/2x + b
-4 = 1/2(6) + b
-4 = 3 + b
-7 = b
<span>7, 21, 63, 189
7 x 3 = 21
21 x 3 = 63
63 x 3 = 189
189 x 3 = 567
567 x 3 = 1,701
Therefore, the nex two terms in the sequence are 567 and 1,701
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Answer:
let x represent the bigger number
x+x-47=125
2x-47=125
2x=125+47
2x=172
2x/2=172/2
x=86
the smaller number=x-47
86-47
39
therefore the answer is a) 39 and 86
Answer:
Vertex: (7,-6)
Axis of symmetry: x = 7
Step-by-step explanation:
Hello!
<h2 /><h2>Vertex:</h2>
When given an absolute value equation, any number that is being added or subtracted to x in the absolute value brackets is the change in x
If a number is being added, the graph moves that many units to the left of the origin.
If a number is being subtracted, the graph moves that many units to the right of the origin.
Here, we have a subtraction of 7, so our x-coordinate becomes positive 7 (7 units to the right of the origin).
When a change is being added or subtracted outside of the absolute value brackets, it's the change in y. There is no reversing of the movement, so if there is a negative change, the vertex moves down, and if there is a positive change, the vertex move sup.
Our y-coordinate is -6 because we are subtracting 6.
Our vertex is at (7,6)
<h2>Axis of Symmetry</h2>
The axis of symmetry in an absolute value function is the x-value of the vertex.
Since the axis of symmetry is a vertical line, our x-value should be 7, so ultimately our axis is x = 7
-Chetan K
