Answer:
Uhh
Step-by-step explanation:
what?
if you mean u bought a new car congrats
Answer:
An algebraic expression
Step-by-step explanation:
The length is 15 inches and width is 9 inches
Step-by-step explanation:
Let
l be the length
and
w be the width
w = l-6
The area of rectangle is 135 ft^2
The formula for area is:
![Area=l*w\\135=l*(l-6)\\135=l^2-6l\\l^2-6l-135=0\\l^2+9l-15l-135=0\\l(l+9)-15(l+9)=0\\(l+9)(l-15)=0\\l+9 = 0 => l=-9\\l-15 = 0 => l=15\\](https://tex.z-dn.net/?f=Area%3Dl%2Aw%5C%5C135%3Dl%2A%28l-6%29%5C%5C135%3Dl%5E2-6l%5C%5Cl%5E2-6l-135%3D0%5C%5Cl%5E2%2B9l-15l-135%3D0%5C%5Cl%28l%2B9%29-15%28l%2B9%29%3D0%5C%5C%28l%2B9%29%28l-15%29%3D0%5C%5Cl%2B9%20%3D%200%20%3D%3E%20l%3D-9%5C%5Cl-15%20%3D%200%20%3D%3E%20l%3D15%5C%5C)
As the length cannot be negative, so we will use the value of length 15
If length 15,
w=l-6
w=15-6
w=9
So,
The length is 15 inches and width is 9 inches
Keywords: Area of rectangle, Quadratic equation
Learn more about quadratic equation at:
#LearnwithBrainly
Answer:
The average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.
Step-by-step explanation:
The average rate of change of a function is:
![\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
The function is:
![f(x)=x^{2}-x-1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D-x-1)
The interval is, -1 ≤ <em>x</em> ≤ 1.
Compute the average rate of change as follows:
![\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
![=\frac{((1)^{2}-1-1)-((-1)^{2}-(-1)-1)}{1-(-1)}\\\\=\frac{-1-1}{2}\\\\=-1](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28%281%29%5E%7B2%7D-1-1%29-%28%28-1%29%5E%7B2%7D-%28-1%29-1%29%7D%7B1-%28-1%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B-1-1%7D%7B2%7D%5C%5C%5C%5C%3D-1)
Thus, the average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.