How would you know if two vectors are perpendicular?
2 answers:
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Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
Equate y to 0
Expand
Express as difference of two squares
<em>x = 0 or 1 or -1</em>
For 2 x intercepts
Equate y to 0
Expand
<em>x= 5 or x = -7</em>
For 1 x intercept
Equate y to 0
Take cube roots of both sides
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
<em>The above function has no x intercept.</em>
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
Equate y to 0
Expand
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example
where, k is constant of proportionality.