Answer:
3.42 I believe. You're welcome:)
Answer:
2 bags
Step-by-step explanation:
area of the yard= 35*55= 1925 ft²
1 bag covers 1240 ft²,
required number:
1925/1240= 1.55 ≈ 2 bags
so 2 bags needed to cover the area of the yard fully
Question:
Consider the expression
When using the inspection method the number you would add to (and subtract from) the constant term of the numerator so the polynomial in the numerator will have (x + 3) as a factor is?
Answer:
The constant to add is 4
Step-by-step explanation:
Given
First, we need to get an expression that has x + 3 has its factor.
Represent this expression with: ![(x + 3)(x + k)](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20%2B%20k%29)
Expand
![x^2 + 3x + kx + 3k](https://tex.z-dn.net/?f=x%5E2%20%2B%203x%20%2B%20kx%20%2B%203k)
Group like terms
![x^2 + (3 + k)x + 3k](https://tex.z-dn.net/?f=x%5E2%20%2B%20%283%20%2B%20k%29x%20%2B%203k)
Compare the above expression to: ![x^2 + x - 10](https://tex.z-dn.net/?f=x%5E2%20%2B%20x%20-%2010)
![(3 + k)x = x](https://tex.z-dn.net/?f=%283%20%2B%20k%29x%20%3D%20x)
![3k = -10](https://tex.z-dn.net/?f=3k%20%3D%20-10)
However, we only consider solving
for k
![(3 + k)x = x](https://tex.z-dn.net/?f=%283%20%2B%20k%29x%20%3D%20x)
![3 + k = 1](https://tex.z-dn.net/?f=3%20%2B%20k%20%3D%201)
Subtract 3 from both sides
![3 - 3 + k = 1 - 3](https://tex.z-dn.net/?f=3%20-%203%20%2B%20k%20%3D%201%20-%203)
![k = 1 - 3](https://tex.z-dn.net/?f=k%20%3D%201%20-%203)
![k= -2](https://tex.z-dn.net/?f=k%3D%20-2)
Substitute -2 for k in ![(x + 3)(x + k)](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20%2B%20k%29)
![(x + 3)(x + k) = (x + 3)(x -2)](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20%2B%20k%29%20%3D%20%28x%20%2B%203%29%28x%20-2%29)
![(x + 3)(x + k) = x^2 + 3x - 2x - 6](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20%2B%20k%29%20%3D%20x%5E2%20%2B%203x%20-%202x%20-%206)
![(x + 3)(x + k) = x^2 + x - 6](https://tex.z-dn.net/?f=%28x%20%2B%203%29%28x%20%2B%20k%29%20%3D%20x%5E2%20%2B%20x%20-%206)
So, the expression that has a factor of x + 3 is ![x^2 + x - 6](https://tex.z-dn.net/?f=x%5E2%20%2B%20x%20-%206)
To get the constant term to add/subtract, we have:
![Constant = (x^2 + x - 6) - (x^2 + x - 10)](https://tex.z-dn.net/?f=Constant%20%3D%20%28x%5E2%20%2B%20x%20-%206%29%20-%20%28x%5E2%20%2B%20x%20-%2010%29)
Open brackets
![Constant = x^2 + x - 6 - x^2 - x + 10](https://tex.z-dn.net/?f=Constant%20%3D%20x%5E2%20%2B%20x%20-%206%20-%20x%5E2%20-%20x%20%2B%2010)
Collect Like Terms
![Constant = x^2 - x^2+ x - x - 6+ 10](https://tex.z-dn.net/?f=Constant%20%3D%20x%5E2%20-%20x%5E2%2B%20x%20%20%20-%20x%20-%206%2B%2010)
![Constant = - 6+ 10](https://tex.z-dn.net/?f=Constant%20%3D%20%20-%206%2B%2010)
![Constant = 4](https://tex.z-dn.net/?f=Constant%20%3D%20%204)