Answer:
El area es 29,403
Step-by-step explanation..
27 x 33 = 891
891 x 33 = 29,403
<span>2v^3 + 3v^2 + 4v + 6
= (</span><span>2v^3 + 3v^2) + (4v + 6)
= v^2 (2v + 3) + 2 (2v + 3)
= (v^2 + 2)(2v + 3)
hope it helps</span>
Answer:
![\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B3%7D%7B10%7Dx%2B%5Cdfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points from the graph (-5, 2) and (5, -1).
Substitute:
![m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1-2%7D%7B5-%28-5%29%7D%3D%5Cdfrac%7B-3%7D%7B10%7D%3D-%5Cdfrac%7B3%7D%7B10%7D)
We have the equation in form:
![y=-\dfrac{3}{10}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B3%7D%7B10%7Dx%2Bb)
Put the coordinates of the point (5, -1) to the equation:
![-1=-\dfrac{3}{10}(5)+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B3%7D%7B10%7D%285%29%2Bb)
![-1=-\dfrac{3}{2}+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B3%7D%7B2%7D%2Bb)
<em>add 3/2 to both sides</em>
![\dfrac{1}{2}=b\to b=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%3Db%5Cto%20b%3D%5Cdfrac%7B1%7D%7B2%7D)
What are the options for this question?
Your answer would be the last option, D.
This is because spinning the spinner does not affect which marble you pick, as these are mutually exclusive events. This means that if the spinner lands on red, you could choose a black or white marble, and if the spinner lands on green you could also choose a black or white marble.
The only sample space that represents this is D because it's the only one that includes both black and white options after spinning red and green.
I hope this helps!