Answer:
a.
<u>Increasing:</u>
x < 0
x > 2
<u>Decreasing:</u>
0 < x < 2
b.
-1 < x < 2
x > 2
c.
x < -1
Step-by-step explanation:
a.
Function is increasing when it is going up as we go rightward
Function is decreasing when it is going down as we go rightward
We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).
So,
<u>Increasing:</u>
x < 0
x > 2
The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:
<u>Decreasing:</u>
0 < x < 2
b.
When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].
Looking at the graph, it is
from -1 to 2 (x axis)
and 2 to positive infinity
We can write:
-1 < x < 2
x > 2
c.
Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.
This will be the other intervals than the ones we mentioned above in part (b).
Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:
x < -1
We know that
<span>124 7/8 gallons of water drained from a pool in 25 minutes
124 7/8 gallons------> (124*8+7)/8-----> 999/8 gallons----> 124.875 gallons
by proportion
124.875 gallons/25 minutes=x gallons/1 minute
x=124.875/25-----> x=4.995 gallons/minute
round to the nearest gallon------> 5 gallons/minute
the answer is
5 gallons/minute
</span>
Answer:
412.
Step-by-step explanation:
412 =
1) less than 500
2) two even digits
3) quadrilaterals have 4 sides
4) 4 + 1 = 5 and there are 5 nickels in a quarter
5) the digital root of 412 is 7
Answer: 8.50 dollars
The result is positive, so this is a gain (instead of a loss)
====================================
Explanation:
Focus on the "stock JKL" row only when it comes to the percentages we'll use. We need to convert them to decimal form
15% ---> 0.15
65% ---> 0.65
20% ---> 0.20
I just moved the decimal point over 2 spots, or you can divide by 100 (eg: 15% = 15/100 = 0.15)
Multiply each of these values by their corresponding loss or gain. Use negative numbers for losses
15% chance of losing $25 ---> 0.15*(-25) = -3.75
65% chance of winning $5 ---> 0.65*(5) = 3.25
20% chance of winning $45 ---> 0.20*(45) = 9
Now add up those results: -3.75+3.25+9 = 8.50
Answer:
13.
Step-by-step explanation:
2, 3, 3, 7, 12, 14, 15, 18, 19, 20
3,3,7,12,14,15,18,19
3,7,12,14,15,18
7,12,14,15
12,14
^ Mean: 13
Uhh it's easy, did you really pay attention at ALL during the lesson. Literally don't judge on here but really!!!?
