Answer:
yes
Step-by-step explanation:
this number is a decimal
The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
-3x + 5y = -15
The above function shows a linear function we can write it as:
5y = 3x - 15
y = (3x - 15)/5
If x = 0, y = -3
x = 1, y = -2.4
x = 2, y = -1.8
x = -1, y = -3.6
x = -2, y = -4.2
Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
Learn more about the function here:
brainly.com/question/5245372
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The equation in slope-intercept form is:
![y=\frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B2)
Further explanation:
The standard slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Given equation is:
![-2x+3y=6](https://tex.z-dn.net/?f=-2x%2B3y%3D6)
In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation
So,
<u>Adding 2x on both sides</u>
![-2x+3y+2x=6+2x\\3y=2x+6](https://tex.z-dn.net/?f=-2x%2B3y%2B2x%3D6%2B2x%5C%5C3y%3D2x%2B6)
<u>Dividing both sides by 3</u>
![\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%5Cfrac%7B2x%2B6%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7B2x%2B6%7D%7B3%7D)
<u>Simplifying</u>
![y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2x%2B6%7D%7B3%7D%5C%5Cy%20%3D%20%5Cfrac%7B2x%7D%7B3%7D%2B%5Cfrac%7B6%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx%2B2)
The equation in slope-intercept form is:
![y=\frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B2)
Keywords: Slope-intercept form, linear equation
Learn more about slope-intercept form at:
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Answer:
x=2
Step-by-step explanation:
F(x) = 2x^2 - 8x +8
Axis of symmetry lies at the x coordinate of vertex
To find x coordinate of vertex use formula
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
from the given f(x) , a= 2 and b = -8
Plug in all the values
![x=\frac{-(-8)}{2(2)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-8%29%7D%7B2%282%29%7D)
![x=\frac{8}{4}=2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%7D%7B4%7D%3D2)
x=2
So the axis of symmetry at x=2