For this case we have that the following function complies with the given conditions:

To prove it, let's find the roots of the polynomial:

By doing common factor 3 we have:

Factoring the second degree polynomial we have:

Then, the solutions are:
Solution 1:

Solution 2:

Answer:
A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:

Answer:
f(x)=-3.5x²+2.7x - 8.2
Step-by-step explanation:
We have given:
a = -3.5 , b=2.7 and c= -8.2
We have to write quadratic function in standard form.
We know that the standard form of quadratic function is:
f(x)=ax²+bx+c
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
We have the values a= -3.5 , b = 2.7 and c = -8.2
Substitute the values in the standard form:
f(x)=-3.5x²+2.7x - 8.2
Therefore the answer is: f(x)=-3.5x²+2.7x - 8.2 ....
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11
Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0
Labeled scatter plot of Education and Internet Use is attached in the picture below.
Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.
The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048
There are 16 cups in a gallon. 6 pints in a quart. 4 quarts in a gallon.
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