Convert to a fraction<span> by placing the </span>decimal number<span> over a </span>power<span> of </span><span>10.</span>
<span>37 over 200</span>
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
Sorry i cant answer with the cracks...can't see
Answer:
6
Step-by-step explanation:
To solve this , we use the equation of finding a slope wig a line.
m = (y2 - y1)/(x2 - x1)
From the question, we know that:
y2 = y
x2 = 3
y1 = 2
x1 = 1
m = 2
Hence,
2= (y - 2)/(3 - 1)
2 = (y - 2)/2
4 = y - 2
y = 2 + 4 = 6
Answer:
50
Step-by-step explanation:
from the question that we have been given, we have to find out the next number after 36.
John's next number sequence will be 50. Every number after 8 can be gotten by adding 14. So when we add 14 to 36, we get the final answer, which is the next number in the sequence.
This can be seen below:
14 + 8 = 22
14 +22 =36
14 +36 =50
therefore the next sequence would be 50
