Funny, this looks like a complex graph, until you realize that the numerator can be written like (x+3)(x-9).
So really, this is a straight line f(x) = x-9.
But wait, there's a catch. x≠3, because that would divide by zero. So in your straight line, you have to draw a "hole" at (3,6)
Answer:
just do itdjdjdjffjfjvjvjcjjfjddjxj
Answer:
1.25 kg
Step-by-step explanation:
1/4 = 0.25
0.25 of 5
0.25 × 5 = 1.25
The true statements are:
- The linear equation for iSpace and Space Magic are
and
respectively - Both iSpice and Spice Magic charge $98 for 8 pounds of paprika.
<h3>What is a linear function?</h3>
The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope
A linear function is represented as:
![y=mx + c](https://tex.z-dn.net/?f=y%3Dmx%20%2B%20c)
Where
- m represents slope
- c represents the y-intercept
<h3>Linear Equation of iSpice</h3>
Start by calculating the slope using:
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
So, we have:
![m = \frac{51 - 15.75}{4 -1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B51%20-%2015.75%7D%7B4%20-1%7D)
![m = 11.75](https://tex.z-dn.net/?f=m%20%3D%2011.75)
The linear equation is then calculated as:
![y=m(x -x_1) + y_1](https://tex.z-dn.net/?f=y%3Dm%28x%20-x_1%29%20%2B%20y_1)
So, we have:
![y=11.75(x -1) + 15.75](https://tex.z-dn.net/?f=y%3D11.75%28x%20-1%29%20%2B%2015.75)
![y=11.75x -11.75 + 15.75](https://tex.z-dn.net/?f=y%3D11.75x%20-11.75%20%2B%2015.75)
![y=11.75x +4](https://tex.z-dn.net/?f=y%3D11.75x%20%2B4)
<h3>Linear Equation of Spice Magic</h3>
Start by calculating the slope using:
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
So, we have:
![m = \frac{57 - 26.25}{4 -1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B57%20-%2026.25%7D%7B4%20-1%7D)
![m = 10.25](https://tex.z-dn.net/?f=m%20%3D%2010.25)
The linear equation is then calculated as:
![y=m(x -x_1) + y_1](https://tex.z-dn.net/?f=y%3Dm%28x%20-x_1%29%20%2B%20y_1)
So, we have:
![y=10.25(x -1) + 26.25](https://tex.z-dn.net/?f=y%3D10.25%28x%20-1%29%20%2B%2026.25)
![y=10.25x -10.25 + 26.25](https://tex.z-dn.net/?f=y%3D10.25x%20-10.25%20%2B%2026.25)
![y=10.25x+16](https://tex.z-dn.net/?f=y%3D10.25x%2B16)
<h3>The price, when both costs are the same</h3>
To do this, we simply equate both equations
![11.75x +4 = 10.25x + 16](https://tex.z-dn.net/?f=11.75x%20%2B4%20%3D%2010.25x%20%2B%2016)
Collect like terms
![11.75x -10.25x = -4+ 16](https://tex.z-dn.net/?f=11.75x%20-10.25x%20%3D%20%20-4%2B%2016)
![1.5x = 12](https://tex.z-dn.net/?f=1.5x%20%3D%20%2012)
Solve for x
![x = 8](https://tex.z-dn.net/?f=x%20%3D%20%208)
Substitute 8 for x in any of the equations.
![y=11.75 \times 8 +4](https://tex.z-dn.net/?f=y%3D11.75%20%5Ctimes%208%20%2B4)
![y=98](https://tex.z-dn.net/?f=y%3D98)
Hence, the price of both products will be the same at $98.00
Read more about linear equations at:
brainly.com/question/26227508