All categories

3 years ago

Are any of these functions?

Mathematics

1 answer:

Kaylis [27]3 years ago

3 0

Answer:

No, they are not.

Step-by-step explanation:

The easiest way to find a function on a graph is by finding if any points share the same x value. All of these do, so none are functions.

You might be interested in

What go in the blanks?

Gnesinka [82]

Answer:NUMERATORS

Step-by-step explanation:

5 0

3 years ago

Which of the following can represent the three angles in an obtuse, scalene triangle?

Bingel [31]

Answer:

30, 30, 120

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

What is the solution to y=3/7x -1?

DedPeter [7]

Every point on the line 3/7x -1 is a solution

Unless there is another line provided...

6 0

2 years ago

You might need:

Nastasia [14]

Answer:

11 + x

Step-by-step explanation:

A = LW

W = $\frac{A}{L}$

Plug in given information:

W = $\frac{121-x^{2} }{11-x}$

Factor the numerator:

W = $\frac{(11+x)(11-x)}{(11-x)}$

Cancel (11 - x):

W = 11 + x

5 0

3 years ago