Answer: y = 20x+75
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The cost (y) must be equal to the product of the cost per hour of installation (20) and the number of hours that it takes (x); plus the fixed cost of parts and installation (75).
Mathematically speaking:
y = 20x+75
Feel free to ask for more if needed or if you did not understand something
What's the equation exactly?
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
Answer:
1) 95% is the minimum
Step-by-step explanation:
If 5 tests were taken, and 100 pts each, and he received 77/100 on all 5 tests, then his grade would be 385/500 being 77%. Add another 100 pts to the denominator (for the last test) and 95 to the numerator, equaling 480/600, or 80%.
Answer:
2.485x10^8
Step-by-step explanation: