Answer:
The answer is 1/9.
Step-by-step explanation:
Using the equation a-b=2, we can solve that a = 2+b.
We can then <u>substitute that into the expression</u> given to get 3^b/3^(2+b).
Since <u>they have the same base, we can subtract the exponents from the numerator and denominator</u> to get 3^(b-2-b) which <em>simplifies to 3^-2.</em>
3^-2 is simply 1/9.
Answer:
Micheal = Kevin - 334mm
Kevin > Ben > Micheal
so you add smthing less than 334mm to Micheal's distance that is not a negative number
Answer:
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Step-by-step explanation:
It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.
Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.
Condition: He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-
Total cost = 1x + 3y ≤ 36 dollars.
and Total weight = 1x + 1.5y ≤ 20 pounds.
Hence, we have four inequalities:-
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Each side after the cut-out is (s-2c) where s is the original side length and c is the size of the cut so:
V=hlw, h=x and l and w are both (x-8)
V=x(x-8)(x-8)
V=x(x^2-16x+64)
V=x^3-16x^2+64x