Answer:
unit price for 11.3-ounce package = $0.25
unit price for 27.8-ounce package = $0.23
27.8-ounce package is the better buy
Step-by-step explanation:
An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
a) 11.3-ounce package
11.3 ounces = $2.88
1 ounce = $2.88 ÷ 11.3
1 ounce = $0.25
b) 27.8-ounce package
27.8 ounces = $6.48
1 ounce = $6.48 ÷ 27.8
1 ounce = $0.23
$0.25 > $0.23
The length of OA is also 4.25 cm. This is because all sides of a rhombus are equal, which therefore tells us that all diagonals will be equal and that the segment is intersected perpendicularly, which tells us the line has been cut exactly in half, giving us 4.25 cm, or A, as our answer
Answer:
A. 9
Step-by-step explanation:
We use the remainder theorem.
The given function is
![f(x) = {x}^{3} + 5 {x}^{2} + sx + 6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%205%20%7Bx%7D%5E%7B2%7D%20%20%2B%20sx%20%2B%206)
If this function is divisible by x+2, then by the remainder theorem,
![f( - 2) = 0](https://tex.z-dn.net/?f=f%28%20-%202%29%20%3D%200)
This implies that;
![{( - 2)}^{3} + 5( - 2 )^{2} + s( - 2) + 6 = 0](https://tex.z-dn.net/?f=%20%7B%28%20-%202%29%7D%5E%7B3%7D%20%20%2B%205%28%20-%202%20%29%5E%7B2%7D%20%20%2B%20s%28%20-%202%29%20%2B%206%20%3D%200)
We evaluate to get:
![- 8 + 20 - 2s + 6 = 0](https://tex.z-dn.net/?f=%20-%208%20%2B%2020%20-%202s%20%2B%206%20%3D%200)
![18 - 2s = 0](https://tex.z-dn.net/?f=%2018%20-%202s%20%3D%200)
![2s = 18 \\ s = 9](https://tex.z-dn.net/?f=2s%20%3D%2018%20%5C%5C%20s%20%3D%209)
The answer is 5/12 a mile :) Hope this helps!!