Answer:
80%
Step-by-step explanation:
We need to find the percent of change from 3,545 pt to 709 pt.
Original value is 3,545
Changed value is 709
Percent change is given by :
![\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%](https://tex.z-dn.net/?f=%5C%25%3D%5Cdfrac%7B%5Ctext%7Bdifference%20in%20values%7D%7D%7B%5Ctext%7Boriginal%20value%7D%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%3D%5Cdfrac%7B3545-709%7D%7B3545%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%3D80%5C%25)
So, there is 80% of change from 3,545 pt to 709 pt.
Answer:
C.
Step-by-step explanation:
First subtract the endpoints and then divide by 2.
Technically, it would be $.34
The equation for the line of best fit in slope-intercept form is; y = 2x + 2. The number of games that could be won after 13 months of practice is 28 games
<h3>How to Interpret Linear Equation Graphs?</h3>
A) We are given the graph shows the relationship between the number of months different students practiced baseball on the x-axis and the number of games they won on the y-axis.
Now, from the given linear graph, the y-intercept would be the point where the line intersects the y-axis which is at approximately y = 2
B) Now, the general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Let us find slope from 2 coordinates;
m = (17 - 13)/(8 - 6)
m = 4/2
m = 2
Thus, the approximate equation of line of best fit of the linear graph is;
y = 2x + 2
The number of games that could be won after 13 months of practice is;
y = 2(13) + 2
y = 28 games
Read more about Linear Equation Graphs at; brainly.com/question/4025726
#SPJ1
Answer:
1,-1 are rational numbers
Step-by-step explanation:
Given equation: ![f(x) = x^6-2x^4-5x^2+6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E6-2x%5E4-5x%5E2%2B6)
Roots of f(x) are : ![x^6-2x^4-5x^2+6=0](https://tex.z-dn.net/?f=x%5E6-2x%5E4-5x%5E2%2B6%3D0)
⇒ ![(x-1)(x+1)(x^2-3)(x^2+2)](https://tex.z-dn.net/?f=%28x-1%29%28x%2B1%29%28x%5E2-3%29%28x%5E2%2B2%29)
⇒ ![(x-1)(x+1)(x+\sqrt{3})(x-\sqrt{3})(x+\sqrt{2})(x-\sqrt{3})](https://tex.z-dn.net/?f=%28x-1%29%28x%2B1%29%28x%2B%5Csqrt%7B3%7D%29%28x-%5Csqrt%7B3%7D%29%28x%2B%5Csqrt%7B2%7D%29%28x-%5Csqrt%7B3%7D%29)
⇒![(x=1)(x=-1)(x=\sqrt{3})(x=-\sqrt{3})(x=\sqrt{2})(x=-\sqrt{2})](https://tex.z-dn.net/?f=%28x%3D1%29%28x%3D-1%29%28x%3D%5Csqrt%7B3%7D%29%28x%3D-%5Csqrt%7B3%7D%29%28x%3D%5Csqrt%7B2%7D%29%28x%3D-%5Csqrt%7B2%7D%29)
⇒![x=1,-1,\sqrt{3},-\sqrt{3},\sqrt{2},-\sqrt{2}](https://tex.z-dn.net/?f=x%3D1%2C-1%2C%5Csqrt%7B3%7D%2C-%5Csqrt%7B3%7D%2C%5Csqrt%7B2%7D%2C-%5Csqrt%7B2%7D)
from these roots only -1,1 is consider as rational numbers as all integers are rational numbers.
Rest
are irrational numbers.