Answer:
the length of the whole segment is D. 3x + 7
9514 1404 393
Answer:
- relative minimum -6√3 at x = -√3
- relative maximum 6√3 at x = √3
- decreasing on x < -√3 and x > √3
- increasing on -√3 < x < √3
- see below for a graph
Step-by-step explanation:
I find it convenient to draw the graph first when looking for relative extrema.
The function can be differentiated to get ...
f'(x) = -3x^2 +9
This is zero when ...
-3x^2 +9 = 0
x^2 = 3
x = ±√3 . . . . . x-values of relative extrema
Then the extreme values are ...
f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3
The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...
(x, y) = (-√3, -6√3) and (√3, 6√3)
__
Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of x between the minimum and the maximum.
decreasing: x < -√3, and √3 < x
increasing: -√3 < x < √3
Answer:. We assume, that the number 400 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 400 is 100%, so we can write it down as 400=100%.
4. We know, that x is 6.5% of the output value, so we can write it down as x=6.5%.
5. Now we have two simple equations:
1) 400=100%
2) x=6.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
400/x=100%/6.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.5% of 400
400/x=100/6.5
(400/x)*x=(100/6.5)*x -
400=15.3846153846*x -
400/15.3846153846=x
26=x
x=26
now we have:
6.5% of 400=26
Step-by-step explanation:This may help and if it does please thank me in the comments.
Answer:

Step-by-step explanation:
Given expression:

Note: <em>The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible. </em>
Let us simplify all the distributive properties stated in the expression.
Apply the distributive property rule <u>[a(b + c) = ab + ac]</u>

Since 5(x) is being subtracted from 5(x), we get:


Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).


Learn more about one-variable expressions: brainly.com/question/15139917
Answer:
I think the answer to this is: 25q + 10d + 5n + 60 = 87
The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents).
Step-by-step explanation:
i promise