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3 years ago

* Anyone who answers randomly for points WILL be reported *

1 answer:

4 0

One example is the equation 2x+3x = 5x because the left hand side combines to form the right hand side. This equation is said to be an identity, which is always true for any real number you can think of. For example, if x = 3, then,

2x+3x = 5x

2*3+3*3 = 5*3 ... replace every x with 3

6 + 9 = 15

15 = 15

We end up with a true equation. This will happen regardless of what x value we pick. Therefore, it has infinitely many solutions.

You might be interested in

The distance from place A to place B is 100 yards. What is this distance in terms of feet?

Rashid [163]

Answer:

Step-by-step explanation:

one yard is 3 feet

100x3=300

6 0

3 years ago

Read 2 more answers

A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet

Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

$L_{1} = 2W_{1}$

Also, the area of the walkway of 2 feet wide is 448:

$W_{2} = 2 ft$

$A_{T} = W_{2}*L_{2} = 448 ft^{2}$

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

$A_{T} = A_{1} + A_{w}$ (1)

The area of the pool is given by:

$A_{1} = L_{1}*W_{1}$

$A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}$ (2)

And the area of the walkway is:

$A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}$ (3)

Where the length of the bigger rectangle is related to the lower rectangle as follows:

$L_{2} = 4 + L_{1} = 4 + 2W_{1}$ (4)

By entering equations (4), (3), and (2) into equation (1) we have:

$A_{T} = A_{1} + A_{w}$

$A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}$

$448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}$

$224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}$

$224 = W_{1}^{2} + 8 + 6W_{1}$

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

$L_{1} = 2W_{1} = 2*12 ft = 24 ft$

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!

8 0

3 years ago

How much interest does $400 make in 5 years at 7% per annum?

ZanzabumX [31]

Answer:

$112

Step-by-step explanation:

7% for each year = $28

7% for four years = $28.4= $112

4 0

3 years ago

Pls help ASAP PLEASE!!!!!!!

STALIN [3.7K]

Answer:

nah im good

Step-by-step explanation:

5 0

3 years ago

Can Somebody answer this real fast?

Debora [2.8K]

Answer:

The answer is 6

Step-by-step explanation:

...........

4 0

3 years ago

*** Anyone who answers randomly for points WILL be reported ***

* Anyone who answers randomly for points WILL be reported *