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padilas [110]
3 years ago
13

Why is it helpful to rewrite inequalities

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

  that puts the solution in the form ...

     variable is ...

Step-by-step explanation:

It isn't always.

__

Often, we like to have a solution be in the form ...

  variable is ...

So, for an inequality, that puts the variable on the left:

  x > 3

  y < 27

__

Personally, I like to see the answer in a form that has the variable and its values in the same relation as on a number line. This means, my preferred inequality symbols are < or ≤, since those have the smaller numbers on the left. I would write the first example above as ...

  3 < x

showing that the shaded portion of the number line (representing possible values of the variable) is to the right of the open circle at 3. For me, it is more mental effort to translate x > 3 to the same image.

__

The forms we choose to use are all about making communication as easy as possible.

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If a rectangle is 4 cm x 5 cm, what is the perimeter?
KiRa [710]
The perimeter is 18 sq cm.

2(4) + 2(5)
 8 + 10 = 18.
6 0
3 years ago
How do I simplify this?
Fudgin [204]
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
7 0
3 years ago
If 4 gal of premium unleaded gasoline costs $15.04, how much would it cost to completely fill a tank whose capacity is 9-gal?
Sveta_85 [38]

Answer:

$33.84 cents

Step-by-step explanation:

Given the following question:

4 gallons = 15.04
1 gallon = ?

How much for 9 gallons?

To find the answer we have to find how much one-gallon costs since we already know how much it costs for 4 gallons of this unleaded gasoline.

15.04\div4
15.04\div4=3.76
=3.76

One gallon of this gasoline costs $3.76 now we need to find how much it costs for 9 gallons.

3.76\times9=33.84
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For nine gallons of gasoline it will cost you "$33.84 cents."

Hope this helps.

4 0
2 years ago
Which angles appear to be congruent?<br> A 1 and 2<br> B 1 and 5<br> C 2 and 4<br> D 4 and 5
pentagon [3]

Answer:

B

Step-by-step explanation:

Those are the only ones that look similar. Hope it helps! :)

7 0
3 years ago
Read 2 more answers
Use inductive reasoning to find the next term in this sequence 2,3,5,9,17. Then explain the rule for the pattern.
NISA [10]

We have been given the sequence 2,3,5,9,17.

We can write the terms of this sequence as

2=2^0+1\\&#10;3=2^1+1\\&#10;5=2^2+1\\&#10;9=2^3+1\\&#10;17=2^4+1\\

From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .

For second term we take exponent 1 on 2 and then add 1 .

For third term we take exponent 2 on 2 and then add 1 .

Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .

Therefore, next term of the sequence is given by

2^5+1\\&#10;=32+1\\&#10;=33

Therefore, the next term is 33.

Using the above facts, the pattern is given by

a_n=2^{n-1}+1

7 0
3 years ago
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