Step-by-step explanation:
15+8= 23
math magician I like math but I really don't some time know how to do it but if their is wrong then you have to ask your teacher or look in your notebook
Answer:
25
Step-by-step explanation:
First divide 3.7 by 0.006
Which is 616.666
The last 6 is the thousandths place. If it is 5 or bigger then the number to the left is rounded up. If its lower than 5 you round down
Since 6 is over 5 we tound up
616.67
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
![y=2x^{2}+6x+3](https://tex.z-dn.net/?f=y%3D2x%5E%7B2%7D%2B6x%2B3)
This is the equation of a vertical parabola open up
The vertex is a minimum
Convert to vertex form
Complete squares
![y-3=2x^{2}+6x](https://tex.z-dn.net/?f=y-3%3D2x%5E%7B2%7D%2B6x)
Factor the leading coefficient
![y-3=2(x^{2}+3x)](https://tex.z-dn.net/?f=y-3%3D2%28x%5E%7B2%7D%2B3x%29)
![y-3+4.5=2(x^{2}+3x+2.25)](https://tex.z-dn.net/?f=y-3%2B4.5%3D2%28x%5E%7B2%7D%2B3x%2B2.25%29)
![y+1.5=2(x^{2}+3x+2.25)](https://tex.z-dn.net/?f=y%2B1.5%3D2%28x%5E%7B2%7D%2B3x%2B2.25%29)
Rewrite as perfect squares
![y+1.5=2(x+1.5)^{2}](https://tex.z-dn.net/?f=y%2B1.5%3D2%28x%2B1.5%29%5E%7B2%7D)
The vertex is the point (-1.5,-1.5)
Find the zeros of the function
For y=0
![2(x+1.5)^{2}=1.5](https://tex.z-dn.net/?f=2%28x%2B1.5%29%5E%7B2%7D%3D1.5)
![(x+1.5)^{2}=3/4](https://tex.z-dn.net/?f=%28x%2B1.5%29%5E%7B2%7D%3D3%2F4)
square root both sides
![x+\frac{3}{2} =(+/-)\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B3%7D%7B2%7D%20%3D%28%2B%2F-%29%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
![x=-\frac{3}{2}(+/-)\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B2%7D%28%2B%2F-%29%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
![x=-\frac{3}{2}(+)\frac{\sqrt{3}}{2}=\frac{-3+\sqrt{3}}{2}=-0.634](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B2%7D%28%2B%29%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7B-3%2B%5Csqrt%7B3%7D%7D%7B2%7D%3D-0.634)
![x=-\frac{3}{2}(-)\frac{\sqrt{3}}{2}=\frac{-3-\sqrt{3}}{2}=-2.366](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B3%7D%7B2%7D%28-%29%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7B-3-%5Csqrt%7B3%7D%7D%7B2%7D%3D-2.366)
Find the y-intercept
For x=0
![y=3](https://tex.z-dn.net/?f=y%3D3)
The y-intercept is the point (0,3)
therefore
The graph in the attached figure
Answer:
y = 1/6x
Step-by-step explanation:
linear equations don't have exponents