Step-by-step explanation:
|2x + 4| <= 5
We have -5 <= 2x + 4 <= 5.
Therefore -9 <= 2x <= 1 and -4.5 <= x <= 0.5.
Answer:
Increasing in x < 7 and decreasing in x > 7.
Step-by-step explanation:
g(x) = 1 -
<u>If a function is increasing in a interval, its first derivative is positive and if a function is decreasing in an intreval, its first derivative is negative.</u>
Using this concept here,
Substitute x > 7,
the first derivative is negative.Hence it is decreasing in this interval.
Substitute x < 7,
The first derivative is positive.Hence it is increasing in this interval.
Hence the answer is increasing in x < 7 and decreasing in x > 7.
You can use the change of base formula to get
and also
In general, the change of base formula is
W= -0.5d+34
The slope is -0.5 as the water I receding by .05 feet per days (d). The y-intercept is 34 as you start with 34 feet of water.
To find how many days it'll take for the water level to reach 26 feet you'll plug 26 in for w in this equation and then solve.
26= -0.5d +34
-8 = -0.5d
Minus 34 from both sides to get the slope alone. (As shown above.) Then divide by -0.5 to get d on it's own as shown below.
16 = d
It should take 16 days for the water to recede from 34 feet to 26 feet. You can plug 16 into the original equation to check your work.
I’m think the answer is 28