Step-by-step explanation:
1) -5x<35
we divide both sides by 5
-5x/5<35/5
-x<7
we divide both sides by-1 to remove the negative sign
-x/-1<7/-1
x<7/-1
2) 2x>-42
we divide both sides by 2
2x/2>-42/2
x>-21
3) x/3≤-7
we multiply by 3 and we cancel 3
3(x/3)≤3(-7) we cancel the 3
x≤-21
4) x/-4≥-4
we do the same thing
x≥1
Answer:
A current of 5 amperes will produce the maximum power.
Step-by-step explanation:
Let be 
, where 
is measured in watts and 
in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:
First derivative
Second derivative
Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)
The only critical point is .
As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)
Which indicates that critical point leads to an absolute maximum.
A current of 5 amperes will produce the maximum power.
<h3>
Answer: True</h3>
Explanation:
All direct proportion equations are <u>straight lines</u> that go through the <u>origin</u>.
In this case, the constant of proportionality is 5 because of the following
- y/x = 5/1 = 5
- y/x = 10/2 = 5
- y/x = 15/3 = 5
- y/x = 35/7 = 5
- y/x = 50/10 = 5
Each x,y set of values are selected from the points in the graph. The equation of the green line is y = 5x with slope 5 and y intercept 0.
Furthermore, that slope 5 indicates that the unit rate is 5 gallons per minute.
17 x 2 = 34
34 - 5 = 29
34 - 29 = 5
So Shanice had 29 hats on Monday
Answer:
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Step-by-step explanation:
