Answer:
x=9,-1 and ![x^2+(-8)x=9](https://tex.z-dn.net/?f=x%5E2%2B%28-8%29x%3D9)
Explanation:
we have been given with the quadratic equation ![x^2-8x-9](https://tex.z-dn.net/?f=x%5E2-8x-9)
we compare the given quadratic equation with general quadratic equation
general quadratic is ![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
from given quadratic equation a=1,b= -8,c= -9
substituting these values in the formula for discriminant ![D=b^{2}-4ac](https://tex.z-dn.net/?f=D%3Db%5E%7B2%7D-4ac)
![D=(-8)^2-4(1)(-9)=100](https://tex.z-dn.net/?f=D%3D%28-8%29%5E2-4%281%29%28-9%29%3D100)
Now, to find the value of x
Formula is ![x=\frac{-b\pm\sqrt{D}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7BD%7D%7D%7B2a%7D)
Now, substituting the values we will get
![x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-8%29%5Cpm%5Csqrt%7B100%7D%7D%20%7B2%7D%3D%20%5Cfrac%7B8%5Cpm10%7D%7B2%7D%3D9%2C-1)
And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of
![x^2+bx=c](https://tex.z-dn.net/?f=x%5E2%2Bbx%3Dc)
Perimeter is 42
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Part A:
We will have that the inequality that represents the scenario is:
![1.75x\le35](https://tex.z-dn.net/?f=1.75x%5Cle35)
Where x is the number of horses.
Part B:
The solution of the inequality is:
![x\le\frac{35}{1.75}\Rightarrow x\le20](https://tex.z-dn.net/?f=x%5Cle%5Cfrac%7B35%7D%7B1.75%7D%5CRightarrow%20x%5Cle20)
This means that Sunshine Acre Farm can support at most 20 horses.
Jenny bakes 10 cookies. she puts 7 chocolate chips on each cookie draw a tape diagram and label the total amount