If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
Answer:
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0 1 2 (3) 4 5 6 7 8 9 10
Answer:
1 : 45
Step-by-step explanation:
225 divided by 5 equals 45. You can now use this ratio to determine the number of people with different amounts of buses; when you change x from 1 to n, you would need to multiply 45 by n, and you will have your new ratio column in the table.
Hope this helps :)
Answer:
C(x) = 0.1x+23000
Step-by-step explanation:
Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.
Let X be the no of units produced
Then we have variable cost = 0.1x
Fixed cost = 23000 (irrespective of value of x)
Total cost
where C represents the total cost and x no of units produced.
Revenue function would be
assuming all doughnuts are sold.
Profit function would be
Answer:
C. Only Henry's proof is correct.
Step-by-step explanation:
Amy's "proof" leaves out the steps that Henry's proof puts in. Only Henry's proof is correct.
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Amy's proof has no reasoning to support her "therefore ..." and no reasoning to support her conclusion that angles 4 and 2 are equal. Nothing in her proof supports her conclusion that the transitive property of equality can be applied.
