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 = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}
(x
2
−x
1
)
(y
2
−y
1
)
= \frac{4-0}{5-3}
5−3
4−0
= \frac{4}{1}
1
4
= 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 = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}
(x
2
−x
1
)
(y
2
−y
1
)
= \frac{4-0}{5-9}
5−9
4−0
= -\frac{4}{4}
4
4
= -1 ]
4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)
Meg, if the original expression is <span>(M^4/5)(n^33/5), there's not much one can do with this, other than to take out the (1/5) in both exponents:
</span><span>(M^4/5)(n^33/5) = (m^4)^(1/5) * (n*33)^(1/5).
</span>
This can be simplified to [ m^4 * n^33)^(1/5). Thanks for using those parentheses! Without them, I really wasn't sure what to do.
5|2x-2|+8=18
5|2x+2|=10
|2x+2|=2
by removing the absolute and but + or -
(2x+2) = 2 & (2x+2)=-2
so , x = 0 & x=-2
so it is the second answer
That’s very simple.. all what u have to do is to multiple 5 by 7/8 so the answer is 35/8 or 4.375
Is there a picture or diagram that goes along with this. It's kinda confusing for me without the original picture. Sorry