Answer:
<h3>The given polynomial of degree 4 has atleast one imaginary root</h3>
Step-by-step explanation:
Given that " Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer:
<h3>To find how many imaginary roots does the polynomial have :</h3>
- Since the degree of given polynomial is 4
- Therefore it must have four roots.
- Already given that the given polynomial has 1 positive real root and 1 negative real root .
- Every polynomial with degree greater than 1 has atleast one imaginary root.
<h3>Hence the given polynomial of degree 4 has atleast one imaginary root</h3><h3> </h3>
Answer:
a ratio is a comparison of two numbers or measurements
the objects being compared are called the terms of the ratio.
if the tow terms are different units this is called a rate.
example:
David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?
solution:
Distance covered by David in 1 hour is
= 600 / 8
= 75 miles per hour
Distance covered by John in 1 hour is
= 380 / 5
= 76 miles per hour
When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.
Answer:
Step-by-step explanation:
<u>Take any two points or coordinated from the graph.</u>
Let's take (2,2) and (0,-3)
So,
Hence,
![\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{-3-2}{0-2} \\\\Slope = \frac{-5}{-2} \\\\Slope = \frac{5}{2} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B-3-2%7D%7B0-2%7D%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B-5%7D%7B-2%7D%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
The coefficient of determination can be found using the following formula:
![r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2](https://tex.z-dn.net/?f=r%5E2%3D%5Cmleft%28%5Cfrac%7Bn%28%5Csum%20%5E%7B%7D_%7B%7Dxy%29-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%7D%7B%5Csqrt%5B%5D%7B%28n%5Csum%20%5E%7B%7D_%7B%7Dx%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%5E2%29%28n%5Csum%20%5E%7B%7D_%7B%7Dy%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%5E2%7D%5E%7B%7D%7D%5Cmright%29%5E2)
Using a Statistics calculator or an online tool to work with the data we were given, we get
So the best aproximation of r² is 0.861
Answer:
2,3 &13
Step-by-step explanation:
78=2times39=3times13
therefore the prime factors of 78=2,3,13
