Answer:
g = -2/3
Step-by-step explanation:
-g + 6 +2g = -4g - (-4)
g + 6 = -4g + 4
3g =-2
g = -2/3
y = x² + 6x + 3
y = x² + 6x + 9 - 6
y = (x + 3)² - 6
since the coefficient of x² is positive, then min at (-3,-6). the answer is C.
Answer:
21 in.
Step-by-step explanation:
The radius is half of the diameter. The diameter (as shown) is 42 inches. Divide that by two to get 21 in.
Answer:
The limit of the function does not exists.
Step-by-step explanation:
From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.
For x<2

The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.
For x>2

The value of y is 1 at x=2, because of he close circles on (2,1).
For x=2

Therefore the graph represents a piecewise function, which is defined as

The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.



Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.
First you would multiply 3/4 by 2 then multiply 1/2 by 4 and get 6/8 and 4/8.