A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)
Solving (1), (2) and (3) gives a = 9, b = -5, c = 19
Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425
Therefore, it costs $425 to produce 7 calculators.
Answer:
Step-by-step explanation:
{700 = <em>S</em> + <em>A</em>
{4500 = 5<em>S</em> + 10<em>A</em>
−⅒[4500 = 5<em>S</em> + 10<em>A</em>]
{700 = <em>S</em> + <em>A</em>
{−450 = −½<em>S</em> - <em>A</em> >> New Equation
_____________
[Plug this back into both equations above to get the A-value of 200]; 
Answer: 73.50
Step-by-step explanation:
I am assuming that the new price is 36.75
50% is 1/2
36.75·2=original price
original price=73.50
9514 1404 393
Answer:
multiplication
Step-by-step explanation:
In math, "X of Y" means that X is multiplied by Y*. Here, you need to figure out what values are being multiplied.
The fraction of claims remaining unpaid after the first month is ...
1 - 4/7 = 7/7 -4/7 = 3/7 . . . . fraction of claims unpaid after month 1
The problem statement tells you 2/3 of these are paid in the second month. That is ...
(2/3) × (3/7) = 2/7 . . . . of the total of all claims
2/7 of all claims were paid in the second month.
_____
* The interpretation of the word "of" will depend on the context. Here, we're referring to X being a percentage or fraction, as in "2/3 of 3/7".
In some uses, the word "of" may signify that X is multiplied by a fraction with Y as the denominator, as in "5 of 8" (meaning 5/8), for example. If Y is an object, the X is still a multiplier, as in "3 of the bags of cement".
