Answer:
The mean of Martin's scores is 85.2
Step-by-step explanation:
In order to find the mean of a set of numbers, you will have to add up all of the numbers and divide the result by the total numbers in the set.
98 + 78 + 84 + 75 + 91 = 426
Since there are 5 numbers in total, we will do 426 divided by 5.
426 ÷ 5 = 85.2
So, the mean of Martin's scores is 85.2
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B
Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
Answer is C) 3 real and 2 imaginary zeroes.
Answer:
1.5
Step-by-step explanation:
%change=100(final-initial)/initial
You can plug in your values...if you meant initial=12 and final=36...
%change=100(36-12)/12=200%
Since it is positive, that is a 200% increase.
For the first part:
if w is width and length is 2 times that, what would the length be?
For the second part:
we know that the perimeter is less-than 48in, so we can start by saying
something<48
next you have to determine what that something is: the perimeter.
To find perimeter, you add the length of the sides. We already know that there are two sides which measure 'w' units, and two sides which measures are the expression you're finding in the first part. So, you simply need to add these together!
width + width + length + length<48.
(Note: you'll obviously want to replace the words width and length with the values for the width and length; in the case of width, the value is given in the problem in the form of a variable, and the length is the expression you solve for in the first part.
You should be able to solve to find the expression from the first part on your own, and once you have those, simply plug the value of the width and the length into the expression. Rather than just giving you the answer, this allows you to still work it out on your own to a certain extent.
Make sense? (:
