Is 9x-(9x)^2=19-y linear or non linear

Thanks for the help!

NikAS [45]

Answer:

A

Step-by-step explanation:

So we have the piecewise function:

$f(x)= \begin{cases}\sqrt{2x} & \text{if }x$

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

$f(x)=42\text{ if }x\geq 8$

$f(8)=42$

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

3 0

4 years ago

Help please I beg of the

Anika [276]

Answer:

1 would be on 1.4 so before 1.5 on the line

2 would be on around 4.1 so after 4.0 by a little

3 would be on 3.3 so kind of in the middle of 3.0 and 3.5

4 would be on 2.8 so before 3.0

5 is on 2.2 so a little after 2.0

6 would be just a little more than 5 around 5.09

11 is E

12 is A

13 is D

14 is C

15 is B

16 is B

17 is A

18 is D

19 is C

20 is E

All you have to do is find the square root through a calculator then round your answer and estimate where it would go on the line. Hope this helped

7 0

3 years ago

Part 1:

alexira [117]

The size of the corner you need to cut in order for your box to have this area is 0.5 inches

<h3>Part 1: A. Express the new length of the long side of the note card, once the two corners are removed.</h3>

The base length is given as:

Length = 7

When the edges are removed, the new length becomes

New length = 7 - x - x

Evaluate

New length = 7 - 2x

<h3>Part 1: B. Express the new width of the short side of the note card, once the two corners are removed.</h3>

The base width is given as:

Width = 4

When the edges are removed, the new length becomes

New width = 4 - x - x

Evaluate

New width = 4 - 2x

<h3>Part 2: Write a function A(x) that defines the area of the bottom of the box, once the corners are removed and the sides are folded up.</h3>

The area of the bottom of the box is calculated as:

Area = New length * New width

This gives

Area = (7 - 2x) * (4 - 2x)

Rewrite as:

A(x) = (7 - 2x) * (4 - 2x)

<h3>Part 3: Set up an equation in standard form that will help you find the size (x)</h3>

The area is given as:

Area = 16

So, we have:

(7 - 2x) * (4 - 2x) = 16

Expand

28 - 14x - 8x + 4x^2 = 16

Rewrite as

4x^2 - 14x - 8x + 28 - 16 = 0

Evaluate the like terms

4x^2 - 22x + 12= 0

<h3>Part 3: Solve this equation and take note of any extraneous solutions</h3>

We have:

4x^2 - 22x + 12= 0

Expand the equation

4x^2 - 24x - 2x + 12 = 0

Factorize the equation

4x(x - 6) - 2(x - 6) = 0

Factor out x - 6

(4x - 2)(x - 6) = 0

Solve for x

x = 0.5 or x = 6

The value of x = 6 is too big for the dimensions of the box.

So, x = 6 is an extraneous solution for the equation

Hence, the size of the corner you need to cut in order for your box to have this area is 0.5 inches