The equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
x^3 (x^2 + 5x + 7)
Expand the expression
x^3 * x^2 + x^3 * 5x + x^3 * 7
Evaluate the product
x^5 + 5x^4 + 7x^3
Expand the expression
x^5 + 4x^4 + x^4 + 8x^3 - x^3
Hence, the equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3
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Answer:
see graph
Step-by-step explanation:
Answer: do you have a picture of the assignment?
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
Yield goes down 1 lb for each tree over 23 per acre, so the yield per tree as a function of x trees per acre is ...
yield per tree = 55 -(x -23) = 78 -x . . . . . pounds of cherries
To get the yield per acre, we multiply the number of trees per acre by the yield per tree:
lb/acre = (x tree/acre)((78 -x) lb/tree) = x(78 -x)
This is a quadratic function that opens downward and has zeros at x=0 and x=78. The vertex (maximum) is on the line of symmetry, halfway between the zeros. The yield per acre will be a maximum when ...
x = (0 +78)/2 = 39 . . . . trees per acre
39 trees should be planted per acre to maximize yield per acre.
