Answer:
8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips
Step-by-step explanation:
Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.
Peanuts cost $2 per pound, then x pounds cost $2x.
Raisins cost $2.50 per pound, then y pounds cost $2.50y.
Chocolate chips cost $4 per pound, then y pounds cost $4y.
In total, x+y+y=20 and those 20 pounds cost
2x+2.50y+4y=20·2.75.
Solve the system of two equations:
From the first equation:
Substitute x into the second equation:
The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and C(300) = 150
<h3 /><h3>How to determine the newsletter function?</h3>
From the question, the given parameters are
Initial charge = $75.00
Rate per copy = $0.25 per copy
The equation of the newsletter function is then calculated as
Total = Initial charge + Rate per copy x Number of copies
Let x represents the number of copies
So, we have
Total = Initial charge + Rate per copy x x
This gives
C(x) = 75 + 0.25x
<h3>The function values for x = 0, 100, 200 and 300</h3>
When x = 0, we have
C(0) = 75 + 0.25 x 0 = 75
When x = 100, we have
C(100) = 75 + 0.25 x 100 = 100
When x = 200, we have
C(200) = 75 + 0.25 x 200 = 125
When x = 300, we have
C(300) = 75 + 0.25 x 300 = 150
Read more about linear equations at
brainly.com/question/4074386
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Answer:
x^3 + 6x^2 + 12x + 8
Step-by-step explanation:
(x+2)(x+2)(x+2)
(x^2 + 4x + 4)(x+2)
x^3 + 2x^2 + 4x^2 + 8x + 4x + 8
x^3 + 6x^2 + 12x + 8
Answer:
Area= 105.12 feet squared
