Answer:
1). Increases
2). Slope = 4
3). Slope = -1
4). y = 4 when x = 5
Step-by-step explanation:
1). Initially, as x increases, y also increases. (Linear growth has been shown in the graph initially).
2). Afterward, the slope of the graph of the function is equal to 4 for all x between x = 3 and x = 5.
[Slope of the line passing through two points (3, 0) and (5, 4)
m = 
= 
= 
= 4 ]
3). The slope of the graph is equal to -1 for x between x = 5 and x = 9.
[Slope of the line passing through two points (5, 4) and (9, 0),
Slope =
= 
= -
= -1 ]
4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)
Answer:
for number 2 your answer will be 18
Step-by-step explanation:
Find the least common multiple of 6 and 9. For 6 the multiples will be 6, 12, 18, 24. For 9 the multiples will be 9, 18, 27, 36. You see that the numbers 18 and 36 are both common multiples of 6 and 9. The least common multiple is the smallest which is 18.
If by factoring (n + 7) (n + 4)
Explanation:
Consider the quadrant of the original angle and where half that angle would lie.
Half of any positive 1st- or 2nd-quadrant angle will lie in the first quadrant.
Half of any positive 3rd- or 4th-quadrant angle will lie in the second quadrant.
___
Half of any negative 1st- or 2nd-quadrant angle will lie in the third quadrant.
Half of any negative 3rd- or 4th-quadrant angle will lie in the fourth quadrant.
___
Here, we are using the wording "x-quadrant angle" to mean an angle whose terminal ray lies in the x-quadrant. The measure of that angle may be positive or negative. (Half of -5π/4 radians will have different trig function values than half of +3π/4 radians, even though they both have their terminal ray in the 2nd quadrant.)
We are assuming the angle does not exceed 360° (or 2π radians). If it does, you need to adjust the half-angle quadrant accordingly.
