The correct answer is D) 4x + 3y = 90.
x = pairs of socks
y = pairs of shoes
90 = total cost of the sum of socks and shoes
Combining these with the given quantities for each variable:
4x + 3y = 90
Answer:
x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Step-by-step explanation:
Solve for x:
x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0
The left hand side factors into a product with three terms:
(x + 2) (x + 6) (x^2 - 5) = 0
Split into three equations:
x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0
Subtract 2 from both sides:
x = -2 or x + 6 = 0 or x^2 - 5 = 0
Subtract 6 from both sides:
x = -2 or x = -6 or x^2 - 5 = 0
Add 5 to both sides:
x = -2 or x = -6 or x^2 = 5
Take the square root of both sides:
Answer: x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
If it's a hearty soup that is served as the meal itself, and served with bread or crackers and salad, then you can figure about 2 cups per person. Since there are 16 cups to a gallon, that would give you 8 servings. If it's a lighter soup that is served as part of a 5 - 7 course meal, then you can figure about 1 cup person, which would be 16 servings.
Answer:
Rectangular Pyramid.
Step-by-step explanation:
I believe the rectangular pyramid has a greater volume. :) Hope I helped! Have a wonderful day! Please give brainliest! Remember your worth!!! :D
Answer: e. 1
Step-by-step explanation: a key problem in exponential smoothing is the choice of the values used for smoothing constants. It is easy to understand and quite easy to use, making it one of the most popular methods for forecasting. The forecast Ft+1 for the upcoming period is the estimate of average level Lt at the end of period t.
where α, the smoothing constant, is between 0 and 1. We can interpret the new forecast as the old forecast adjusted
by some fraction of the forecast error. The new estimate of level as a weighted average of
Dt (the most recent information on average level) and Ft (our previous estimate of that level).
Lt (and Ft+1 ) can be written in terms of all previous demand.
Thus, Ft+1 is a weighted average of all previous demand with the weight on Di given by α(1-α)t-i where t is the period
that just ended. As t increases the sum of these weights tends to 1.
