Answer:
The three zeros of the original function f(x) are {-1/2, -3, -5}.
Step-by-step explanation:
"Synthetic division" is the perfect tool for approaching this problem. Long div. would also "work."
Use -5 as the first divisor in synthetic division:
------------------------
-5 2 17 38 15
-10 -35 -15
--------------------------
2 7 3 0
Note that there's no remainder here. That tells us that -5 is indeed a zero of the given function. We can apply synthetic div. again to the remaining three coefficients, as follows:
-------------
-3 2 7 3
-6 -3
-----------------
2 1 0
Note that the '3' in 2 7 3 tells me that -3, 3, -1 or 1 may be an additional zero. As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.
That leaves the coefficients 2 1. This corresponds to 2x + 1 = 0, which is easily solved for x:
If 2x + 1 = 0, then 2x = -1, and x = -1/2.
Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.
The linear equation for the variation of population is p = 200t + 1800.
<h3>What is an equation?</h3>
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The formula for an equation in intercept form will be given as below:-
y = mx + c.
It is given that In 1995, the moose population in a park was measured to be 1800. By 1998, the population was measured again to be 2400.
Write the linear equation for population variation.
p = mt + c
m = Rate of change = ( 2400 - 1800 ) / 3 = 200, put the value in the equation.
p = 200t + c
Put the values in the equation to get the value of the constant.
2400 = 200 x 3 + c
c = 2400 - 600
c =1800
The equation for the linear variation of the population is,
p = 200t + 1800
Therefore, the linear equation for the variation of the population is p = 200t + 1800.
To know more about equations follow
brainly.com/question/2972832
#SPJ1
Answer:
The Answer is: (-2,1)
Step-by-step explanation:
Non zero digits are always significant. any zeros between two significant digits are significant. a final zero or trailing zero in the decimal portion only are significant.
