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notsponge [240]
3 years ago
10

How to do this and find the max or min points

Mathematics
2 answers:
Veronika [31]3 years ago
8 0
I see your last line is : c(x) = 0.9(x^2-10)^2 + 101.1

Let y = x^2, then c(y) = 0.9(y-10)^2 + 101.1

Apparently, c(y) is a parabola, min is 101.1 when y = 10, max is infinity

So let x^2 = 10 -> x = sqrt(10) or -sqrt(10), min is 101.1, max is infinity
Levart [38]3 years ago
4 0

Answer:

the min is 101.1

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Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
1 year ago
he has 1/6 of the pie left over. if he shares it with three friends, how much of original pie will each of the four people get?
mario62 [17]
Sharing with three friends:
1/24 of original pie
Sharing with little brother:
1/12 of original pie
3 0
3 years ago
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Write an integer to represent the situation: to grow six inches *
Naddika [18.5K]

Answer:

(+)6

Step-by-step explanation:

Grow means it will be positive and 6 means it will be, well, 6

6 0
3 years ago
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The school café charges $3 for hot lunch. This amount is automatically withdrawn from a student's lunch account each day they pu
Alexandra [31]

Answer:

15 dollars

Step-by-step explanation:

you do 3 × 5 which will give you 15

7 0
3 years ago
2q+10=7q how do i break this down to get the answer
krok68 [10]
So subtract 2q from both sides.
This will cancel out the 2q on the left.
So the equation right now should be 10=5q.
Now divide each side by 5.
10/5=2
2=q.
That's the answer! Hope this helped!!
7 0
3 years ago
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