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:
Step-by-step explanation:
Answer:
I THINK ITS THE 3rd on
Step-by-step explanation:
you see the part where it says 6x8 then 6x3 and he part where it says 6x4 she didnt add the 2
Answer:
9) 844cm^2 10) 15,000in^3 11) 240cm^3 12) 480in^3
Step-by-step explanation:
9) A= 200 A=160 A=192 A=192 A=100
200+160= 360+192= 552+192= 744+100=844cm^2
for #9 i divided the figure into 5 parts and got the area of each one and added all of the totally areas to get the final answer
10) A= 20*30= 600*25= 15,000in^3
11) A= 2*5= 10*4= 40cm^2 (cheese) A= 40*6= 240cm^3
12) 12*10= 120*4= 480in^3
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7*x-4-(21)=0
Solve : 7x-25 = 0
Add 25 to both sides of the equation :
7x = 25
Divide both sides of the equation by 7:
x = 25/7 = 3.571
