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:

A function have just one output (y) for each input (x). A value of x cannot have different corresponding values of y.
Tables B, C and D have differnet values of y (outputs) to a value of x(input), those are not functions.
Table A has one output (y) for each input (x). As you can see the output (y) can be the same for two or more inputs (x). It is a function
Answer:
7 quarts = 28 cups
10 cups = 2.5 quarts
Step-by-step explanation:
In order to solve the two different questions in the problem, starting with a ratio of the number of quarts to the number of cups would be helpful:

So, for every 1 quart of milk, she can pour 4 cups. Using this ratio, we can set up equivalent ratios, or proportions, to solve for the missing value. For the first question, we need to know that amount of cups in 7 quarts:

We can solve for 'x' by multiplying the numerator and denominator by the same factor, in this case '7'. So, 4 x 7 = 28 cups.
Next, we need to solve for the amount of quarts needed for 10 cups:

4 x 2.5 = 10, so we need to multiply the numerator by 2.5: 1 x 2.5 = 2.5 quarts.
Answer:
A. P(n) = 12·2^n
Step-by-step explanation:
From one generation to the next, the population grows by a factor of ...
24/12 = 2
Only one offered expression is an exponential function with a base of 2:
P(n) = 12·2^n
Simplify:
3x + 4[2x -3x -3 -20x] = 25x +100
3x + 4(-21x -3) = 25x + 100
3x - 84x -12 = 25x + 100
-81x -12 = 25x + 100
Add 12 and Subtract 25x from each side
-106x = 112
X = -112/106
X = -56/53
^^^^^^^^^^
Final Answer^^