D. No because two points with the same x value have different y values. A function cannot have one x equal different y
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer: the population after 5 years is 10814
Step-by-step explanation:
The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
n represents the period of growth
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 10289
r = 1% = 1/100 = 0.01,
t = 5 years
Therefore,
A = 10289(1 + 0.01)^5
A = 10289(1.01)^5
A = 10814
The least common multiple is 63.
Explanation: 63 is the least number that 3 7 and 9 can go into evenly. Therefore, it is the least common multiple.
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
The Distributive Property tells us that we can remove the parentheses if the term that the polynomial is being multiplied by is distributed to, or multiplied with each term inside the parentheses.
If a number outside the parentheses has a negative sign then the first and simplest way is to change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs. Similarly, positive or plus signs become negative or minus signs.
