Answer:
-5
-3
-2
Rule: Subtract 2 from the input value
Step-by-step explanation:
Examine the pattern of the input and the corresponding output for the two given ordered pairs:
Input -2 → Output -4
Output - Input = -4 - (-2) = -2
Input 1 → Output -1
Output - Input = -1 - 1 = -2
Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).
As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:
Output = Input - 2
or as an equation: 
OK so we know that the other side is 12 because the right triangle has to have two sides that add up to the hypotenuse, and I believe it gives you the answer in the question because you are trying to find x which it says x is the angle, and since its a right triangle, it would be 90°
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
7.750 and 7.7500 are 2 equivalent fractions.
