Answer:The correct answer among the choices given is option 2.
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
5x^2 + 27x + 13x = 14
5x^2 + 40x = 14
2. Make sure that the coefficient of the x^2 term is 1.
5(x^2 + 8x) = 14
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
5(x^2 + 8x + 16) = 14 + 80
5(x+4)^2=94
Step-by-step explanation:
N + n + 3 + 2n = (sum of age)
First change the problem and add 1 in front of the variables (n)
1n + 1n + 3 + 2n = (sum of age)
Next add the like terms which are 1n, 1n, and 2n
1n + 1n = 2n
2n + 2n = 4n
Now 3 is left by itself add it to the problem
4n + 3
SIMPLIFIED EXPRESSION IS 4n + 3
Answer:
(A) 100 (in thousands)
(B) 180 (in thousand dollars)
Step-by-step explanation:
Given:
profit function as P(q) = -0.02q² + 4q - 20
where,
q is the number of thousands of pairs of sunglasses sold and produced,
P(q) is the total profit in thousands of dollars
To find the point of maxima differentiating the above equation and equating it to zero
P'(q) = - (2)0.02q + 4 - 0 = 0
or
⇒ - 0.04q + 4 = 0
or
⇒ - 0.04q = - 4
or
⇒ q = 100
Hence,
(A) 100 pairs of sunglasses (in thousands) should be sold to maximize profits
(B) Substituting the value of q in the profit function to calculate the actual maximum profit
P(q) = -0.02(100)² + 4(100) - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = 180 (in thousands dollar)
Answer:
C. -6
Step-by-step explanation:
-3(2)²+4(2)-2
-3(4) + 8 - 2
-12+8-2
-14+8
-6
