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3 years ago

How does the degree relate to the extrema?

1 answer:

5 0

I'm assuming this is for apolynomial function. The question of whether a degreee is odd or even changes the look of a graph. An even-numbered degree forms a parabola, where (in the most basic form), the one minimum point (extrema) just touches the origin. An odd-numbered degree, in its most basic form, doesn't touch a point, it crosses it. It expands infinitely without extrema.

Let's assume you're just talking about quadratic functions (or [even] parabolic functions, to be more general), in which case something like x^2 (the simplest quadratic equation) and x^50 would have the same extreme minimum point.

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An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

finlep [7]

Answer:

The area of the copper circle is 31.4 inches.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.

6 0

3 years ago

What’s the correct answer for this?

slava [35]

Answer:

1/4

Step-by-step explanation:

Let's denote the probabilities as following:

Probability that a teenager has a sister:

P(A) = 12/28

Probability that a teenager has a brother:

P(B) = 7/28

Probability that a teenager has both a sister and a brother:

P(A⋂B) = 3/28

Probability that a selected teenager has a sister also has a brother, or in other words, he/she has a brother, given he/she had a sister:

P(B|A)

Let's apply the formula of conditional probability to work out P(B|A)

P(B|A) = P(A⋂B)/P(A) = (3/28)/(12/28) = (3*28)/(12*28) = 3/12 = 1/4

=> Option C is correct

Hope this helps!

7 0

3 years ago

Help me please Im the big not smart

Tems11 [23]

Answer:

Step-by-step explanation:

8 0

2 years ago

Please help me!! (x+5) (x-2) Any work out or help would be appreciated!! Thanks! :)

Lostsunrise [7]

Answer:

Step-by-step explanation:

If you treat (x+5) as a single value and (x-2) as the values of x and +2, you can distribute (x+5) to x and +2: ( (x-5)*x + (x-5)*2 ). Then you can treat x-5 as the values of x and -5 and distribute those to the numbers next to them: (×^2 - 5x) + (2x - 10). This results in x^2 -3x - 10.

4 0

3 years ago

Which situation is best modeled by the inequality g ≤ 13?

Olin [163]

Answer:

You must be no older than 13 to play a game.

Step-by-step explanation:

≤ this sign means equal to or less than in this case it is 13

8 0

3 years ago