Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
Even though 8-oz is half the amount of 16-oz, that doesn't mean it's cheaper. Let's find the amount of and 8-oz bottle when a 16-oz bottle is $5.78:
16-oz bottle of parmesan cheese = $5.78
A price of an 8-oz bottle when 16-oz is divided by 2:
16 ÷ 5.78 = $2.76
The original price of the 8-oz bottle should've been $2.76 but it's more expensive due to VAT.
So the 8-oz bottle is more expensive, therefore the 16-oz bottle is the better buy!
Answer:
w = 10 in
Step-by-step explanation:
Perimeter is the measure of the length of all sides
48 = 2L + 2w
L = w + 4
^ use substitution
48 = 2(w + 4) + 2w simplify.
48 = 2w + 8 + 2w combine like terms
48 = 4w + 8 then subtract 8 from both sides
40 = 4w then divide by 4 to isolate w
10 = w
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
The height of the food packet cannot be a negative value, so
We need to replace 
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals ![(-\infty , -2], [-2,2], [2,\infty )](https://tex.z-dn.net/?f=%20%28-%5Cinfty%20%2C%20-2%5D%2C%20%5B-2%2C2%5D%2C%20%5B2%2C%5Cinfty%20%29%20)
. We need to pick test point from each possible solution interval and check whether that test point make the inequality 
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
no it isn't it would be 6/9
Answer:
im not sure but uh ask ur teacher
Step-by-step explanation:
