Ask question

Ask question

All categories

4 years ago

7

40 POINTS PLEASE HELP, EXPLAIN WELL IN DETAIL PLEASE DON'T COPY OTHER ANSWERS OFF THE WEB AS NONE OF THEM HAVE MADE SENSE

2 answers:

cestrela7 [59]4 years ago

7 0

Wilson and Alexis can both by correct if the the function is a parabola. It can have zeroes at points x=-1, and x=1. Thus, the average rate of change between the two points would be zero because the y values do not change as they are both zero. In this way, Wilson is correct. Alexis can be correct because the parabola can have it's highest point at its vertex between the two points. It would count as a turning point because the function would increase and then decrease again.

Hope this helps :)

amm18124 years ago

7 0

If the function is a parabola, with vertex on x= 0, then the average rate of change of the function on {x: -1<x<1} is 0, because the graph is symmetric. There is also a turning point at the vertex.

You might be interested in

Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit

natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

$\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\$

6 0

3 years ago

Read 2 more answers

The differential equation

Mazyrski [523]

As the question points out, the equation is indeed separable:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{6x+9}{12y^2+16y+6}$

$\implies2(6y^2+8y+3)\,\mathrm dy=3(2x+3)\,\mathrm dx$

Integrate both sides to get

$2(2y^3+4y^2+3y)=3(x^2+3x)+C$

$\implies F(x,y)=\underbrace{(-3x^2-9x)}_{G(x)}+\underbrace{4y^3+8y^2+6y}_{H(y)}=C$

6 0

3 years ago

The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder

Dovator [93]

Answer:

The volume of the cylinder with given height and radius is 150.72 centimeters³ .

Step-by-step explanation:

Given as :

the height of cylinder = H = 12 centimeters

The diameter of cylinder = D = 4 centimeters

So The radius of cylinder = R = $\dfrac{\textrm Diameter}{2}$

Or, R = $\frac{4}{2}$

I.e R = 2 cm

The volume of cylinder is given as V = $\pi$ ×R²×H

where R is the radius and H is the height

So, V = 3.14×(2)²×12

Or, V = 3.14×48

∴ V = 150.72 centimeters³

So, The volume is 150.72 centimeters³

Hence The volume of the cylinder with given height and radius is 150.72 centimeters³ . Answer

8 0

3 years ago

F(x) = x2. What is g(x)?<br> A. g(x) = -2-3<br> B. (X) = -x2<br> C. g(x) = x2-3<br> D. g(x) = -3/2

Zarrin [17]

Answer: B

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the area of the trapezoid to the nearest tenth? <br> PICTURE BELOW ⬇⬇⬇⬇

Nastasia [14]

Answer:

62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

(8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

(8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

A = (1/2)(b1 +b2)h

A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite

Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent

6 0

3 years ago