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
Step 1 understand the problem make sure that you read the questions carefully several times Step 2 devise a plan Translate step 3 carry out the plan solve this is a system of linear equations with 3 variables
Answer:
378
Step-by-step explanation:
9*6=54 then 54/2=27. fnally 27*14=378
Answer:
A. A cylinder with diameter 8 units
Step-by-step explanation:
∵ The <u>line</u> m is the <em>central axis</em>
So the radius is 4 units. ∴ Diameter is 8 units.
∵ The picture is a <em>rectangle</em>.
[ The <em>rectangle rotates</em> are its side to form a <em>cylinder</em> ]
So a cylinder with diameter 8 units.
The answer is A.
Answer:
The answer is 62
Step-by-step explanation:
You just need to simply divide. 992÷16 is equivalent to 62 with no remainder.
