The domain is the interval within which the values of x are meaningful/possible.
In the case of cost function, since we do not produce negative quantities of components, and there is no upper limit imposed on the production amount, the domain of the average cost function is therefore from zero to infinity (but excluding latter).
Written in interval notation, the domain is
Dom(C(x))=[0,infinity)
Answer:
984 square centimeters
984 cm^2
Step-by-step explanation:
Base: 10 × 24 = 240
Rectangle Sides: 13 × 24 = 312 (×2 = 624)
Triangle Sides: 12 × 10 = 120 (÷2 ×2 = 120)
Add: 240 + 624 + 120 = 984
Answer: 7
Step-by-step explanation:
Let the number chosen by Michael be x.
We are told that he multiplied it by itself, added 1. This would be:
= = ( x × x) + 1 = x² + 1
We are further told that he multiplied the result by 10, and added 3. This would be:
= = [(x² + 1) × 10] + 3
= 10x² + 10 + 3
= 10x² + 13
Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:
(10x² + 13) × 4 = 2012
40x² + 52 = 2012
40x² = 2012 - 52
40x² = 1960
x² = 1960/40
x² = 49
x = ✓49
x = 7
The number is 7
can be expressed as:
= ( x × x) + 1 = x² + 1
If we let Brittany's age be "b," then we can write "twice Britanny's age" in symbolic terms as 2b. Therefore, the entire statement, "Twice Britanny's age is less than the age of Lincoln when he died (56)" can be represented by the inequality, 2b<56
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
y = 4x → (2)
Substitute y = 4x into (1)
4x = x + 3 ( subtract x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 4x = 4 × 1 = 4
Solution is (1, 4 )