Length of AB = 18. 92
Length of AC = 26. 15
Length of BC = 32. 552
<h3>How to determine the sides of the triangle</h3>
Using the Pythagorean theorem, we have that
Expand the bracket
Collect like terms
Make x^2 subject
Thus,
Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92
Length of AC = 25x = 25* 1.046 = 26. 15
Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552
Learn more about isosceles triangles here:
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Answer:
6 hours
Step-by-step explanation:
if it costs 12 dollars to rent it at first then that subtracts 12 dollars from the total 30.
this leaves you with 18 buck, divide 18 by 3 and you get 6, she had it for 6hours
Answer:
1) 500 2) $ 1000 debt 3) $350 4) $2500 debt
Step-by-step explanation:
profit = .5x -250
1) O = .5x -250
250 = .5x
500 = x number to break even
2) f(900) = .5 (900) -250 = $200
from the graph g(200) = total debt = $1000
3) f(x) = -75 = .5x-250 results in x = $ 350
4) f(500) = .5(500) - 250 = 0
from the graph, this corresponds to total debt g (f(500) = $2500 debt
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
Answer: (50 + 2) + 20 +4
Step-by-step explanation: you can split each number into two parts that equal that number, like 52 could be 31 +21
