Answer:
The answer is 
Step-by-step explanation:
The vertex is (-1,0). you can find this after putting the equation in standard form by completing the square.
Answer:
(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)
Step-by-step explanation:
We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)
Answer:
Step-by-step explanation:
We are given quadratic equations as
and it can be factored as
now, we can multiply factor term
now, we can compare
so, we get
we are given that
'a' and 'b' are integers
so, we can find all possible factors
so, we can find k
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
So, values of k are
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
