X + 1 < 5
x < 5 - 1
x < 4
u basically solve it like equations except for one important rule....with inequalities, when u multiply/divide by a negative number, the inequality sign changes directions. But we didn't have to deal with that rule in this particular problem
The value of the derivative at the maximum or minimum for a continuous function must be zero.
<h3>What happens with the derivative at the maximum of minimum?</h3>
So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.
Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).
If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.
So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.
If you want to learn more about maximums and minimums, you can read:
brainly.com/question/24701109
Answer:The equation wth x in the information can be written as
1/2 x = 38.5 , Upon solving, the number = 77
Step-by-step explanation:
Let the number Sara was thinking about be x
halving the number to get an answer = 38.5 can be expressed as
1/2 X = 38.5
The equation with x in the information can be written as
1/2 x = 38.5
solving it becomes
1/2 x= 38.5
x = 38.5 x 2
x=77
The number Sara was thinking about = 77
Answer:
3,000
Step-by-step explanation:
Basically, there are 300 seats filled which is 10%
100% is 10x10
300=10%
multiply both sides by 10
300x10=3000 and 10x10=100
therefore, the total number of seats is 3000 since 100% represents the whole thing.
Hope this was helpful!
X = bessie and y = betty
x + y = 1464
y = 2x - 375
x + 2x - 375 = 1464
3x - 375 = 1464
3x = 1464 + 375
3x = 1839
x = 1839/3
x = 613 <== Bessie gave 613 gallons
y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons