Step-by-step explanation:
(f+g)(x) means f(x) + g(x).
(f−g)(x) means f(x) − g(x).
So all you have to do is add them and subtract them.
1. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (3x − 7) + (2x − 4)
(f+g)(x) = 5x − 11
2. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (3x − 7) − (2x − 4)
(f−g)(x) = 3x − 7 − 2x + 4
(f−g)(x) = x − 3
3. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (2x + 3) + (x² + ½ x − 7)
(f+g)(x) = x² + 2½ x − 4
4. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (2x + 3) − (x² + ½ x − 7)
(f−g)(x) = 2x + 3 − x² − ½ x + 7
(f−g)(x) = -x² + 1½ x + 10
Answer:
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Step-by-step explanation:
Quadrant :
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.
Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.
Numbering is done in Anticlockwise
Quadrant I - x-coordinate is Positive , y-coordinate is Positive.
Quadrant II - x-coordinate is Negative , y-coordinate is Positive.
Quadrant III - x-coordinate is Negative , y-coordinate is Negative.
Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
The expanded form of 15,409 would be 15,000 + 400 + 9.
Your 15 would alone be 15,000. The 409 is turned into zeros.
For 409, take the 9 off of the end and keep it by itself, and then add a zero in replace for the 9, which makes 400.
The 9 should come in at the last part as it is the last number.
Add them all together and you should get <span>15,000 + 400 + 9.</span>
Answer:
Theta = 52.1
Step-by-step explanation:
sin theta = opp / hyp
sin theta = 15/19
Take the inverse sin of each side
sin^-1 sin theta = sin^1- (15/19)
theta =52.13635364
To the nearest tenth
Theta = 52.1
Answer:
16y+2
Step-by-step explanation:
8x2y=16y
8x1/4=2
