Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Answer:arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.
Step-by-step explanation:
I hope this helps and i hope wecan be great friends!!!!! and corrrect me if wrong but i think its A!!!!!!!!
~ 12 year old kakashi hatake
The answer is D.
This figure has 4 sides which makes it a quadrilateral.
This figure has 2 sets of parallel sides which makes it a parallelogram.
This figure has 4 equal sides which makes it a rhombus.
This figure has 4 right angles which makes it a rectangle.
And this figure has both 4 equal sides and 4 equal angles which makes it a square.
To make it easier, all squares are: quadrilaterals, parallelograms, rhombuses, rectangles and of course squares.
You have to muliply it all togeather to get the exact answer. 4 times 10 equals 40 40 times 3 equals 120 then 120 times 6 equals 720 and thats the right answer
