Find a polynomial f(x) of degree 3 that has the following zeros.
1 answer:
Answer:
Step-by-step explanation:
The zeros of the polynomial are all the values of x for which the function
In this case we know that the zeros are:
,
Now we can write the polynomial as a product of its factors
Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3
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Answer:
Step-by-step explanation:
<u>Modeling With Functions</u>
It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.
The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be
But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount
Solving the inequality for x
We round down to
Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish
Our model is now complete if the state the limits of x, or its domain
Answer:
Option C) is the slope
Step-by-step explanation:
We are given the following in the question:
The estimated regression equation is:
where is the dependent variable and need to be predicted and x is the independent variable and is the predictor.
If we compare this regression equation to slope intercept form of straight line,
Here, m is the slope if the line and c is the y-intercept hat is the value of y when x is zero.
Comparing the regression equation to the slope intercept form, we get,
Slope, m =
Intercept, c =
Thus, the correct answer is:
Option C) is the slope