Answer: L((7,5)T)=(7, 18)T
Step-by-step explanation:
The step by step explanation is given in picture.
Set like terms on each side by adding six to the first side and subtracting 1/2x from the first side. this gives you 9<1.5x. divide both sides by 1.5 to get 66. the answer is 4) x>6
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
E pi and F pi and (for third one) are correct answers
<span>k^2+11k has 11 as the coefficient of the first power of the variable (k).
To complete the square:
Take HALF of this coefficient. In other words, take HALF of 11, obtaining 11/2.
Square this (11/2): (121/4)
Add this 121/4 to </span><span>k^2+11k
Result: </span><span>k^2+11k + 121/4
This is a perfect square: </span>k^2+11k + 121/4 = (k + 11/2)^2
Answer: The number to be added to k^2 + 11k to make it a perfect square is (121/4).
