Answer:
X * (X +1) = 420
X^2 + X = 420
X^2 + X -420 = 0
X = 20
Step-by-step explanation:
The constraints for the problem is the number of tomatoes and cups of oil on hand.
There are only 45 tomatoes and 10 cups of oil on hand to make both the Tuscan sauce and Marinara sauce.
These are identified as constraints because they limit the number of Tuscan sauce and Marinara sauce that Tiffany can make.
The answer would be C) As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
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From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated
I = P x i x n
where I is the interest, P is the principal amount, i is the interest rate, and n is the number of years. Substituting the known values,
I = ($7000)(0.08)(1/3)
I = $186.67
Hence, the answer to this item is $186.67.
Answer: The slopes are different
To compare the lines put them both in slope intercept form. The first equation will be y = -2x + 4 and the second equation will be y = -1x + 6. The slopes of the 2 graphs are different. These means that they are going in different directions. Therefore, they will cross a one unique point.