Answer:
5/4
Step-by-step explanation:
rise over run
rise is 5
run is 4
5/4
hope this helps :3
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X= a number
x= 3y+4 (4 more than 3 times a #)
y= other number
x+y= 36
Substitute x= 3y+4 in equation for x
(3y+4)+y= 36
4y+4= 36
Subtract 4 from both sides
4y= 32
Divide both sides by 4
y= 8
Now substitute answer for y in x= 3y+4 equation to find x
x= 3(8)+4
x=24+4
x= 28
Check:
x+y= 36
8+28=36
36= 36
Hope this helps! :)
Answer:
- The graph is shown below
- Vertex = (2,1)
- Axis of symmetry is x = 2
- Domain = set of all real numbers
- Range = set of y values such that
![y \ge 1](https://tex.z-dn.net/?f=y%20%5Cge%201)
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Explanation:
Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.
The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.
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The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.
This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.
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The axis of symmetry is the vertical line that passes through the vertex.
As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.
In the graph below, the axis of symmetry is the red dashed line.
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There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.
Therefore, any x value is allowed and the domain is the set of all real numbers.
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The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger
Therefore,
is the range.
Answer:
Who is the youngest in your family?
<span>0.316 in expanded form is= 0.3 + 0.01 + 0.006. </span>