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:
<h3>Sum of Roots =<u> (-8)</u><u> </u><u> </u></h3><h3>Product of Roots = <u> </u><u> </u><u>(-84)</u><u> </u><u> </u></h3>
Step-by-step explanation:

Roots :- 6 and -14
Sum of the roots :
[6 + (-14)]
= (-8)//
Product of the roots :
[(6)(-14)]
= (-84)//
Answer:
Step-by-step explanation:
4b - 6d = 4*7 - 6*3
= 28 - 18
= 10
Answer:
The value of <em> </em>
= 3
Step-by-step explanation:
<u><em>Explanation</em></u>
<em>Given </em>
<em></em>
<em></em>
<em>L.C.M 8 , 12 is 24</em>
<em> </em>
<em> </em>
<em></em>
<em> = </em>
<em></em>
<u><em>Final answer</em></u><em>:-</em>
The value of <em> </em>
= 3
3y=4x-27
y=4/3x-9
That’s how you do the equation