Which of the following are assumptions needed for simple arithmetic
1 answer:
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Answer:
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.
Step-by-step explanation:
Proportion is defined as the relationship between two quantities. When one quantity changes the other is also changes.
For two quantities y and x when we say that both are proportional then t can be written as:
y∝x
Removing the proportionality symbol introduces a constant which is the ratio of y and x.
This ratio of y and x, i.e. k is equivalent for all related pairs of x and y.
Hence,
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.
You need 3 points to graph a quadratic function.
It is advisable that one of these points be the vertex, because the line of symmetry passes through it
Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.
For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:
y = (3 - 4)² + 3
y = 1 + 3
y = 4
Replacing with x = 5 into the equation, we get:
y = (5 - 4)² + 3
y = 1 + 3
y = 4
Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows:
To solve for x, add 3 to both sides, multiply both sides by -1, then take the square both sides.
