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:
is this collage mathz
Step-by-step explanation:
49 they are equal to each other
Answer:
C. 19.
Step-by-step explanation:
Let's find the answer.
Step 1: divide the first number of 76, which is 7, by 4 and find the integer part.
7/4=1.75, so the integer part is 1.
Step 2: subtract from 7 the (integer part times 4)
7-(1*4)=3
Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.
Step 4: find how many times we need to add 4s to reach 36, so:
4+4+4+4+4+4+4+4+4=36 which means that:
36/4=9
Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:
1 and 9 giving 19, so the answer is:
76/4=19.
In conclusion the answer is C. 19.
