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yan [13]
2 years ago
11

Do you prefer to express solutions to inequalities using interval notation or as an inequality ? Do you think it’s important to

know both formats ? How could each be used ?
Mathematics
1 answer:
MAXImum [283]2 years ago
4 0

Answer:

I prefer to express solutions to inequalities using interval notation. Both formats are are important but I think interval notation is easier to understand and represents better the solutions.

For example, if you have the following inequation:

x-2> 1

x>3

Therefore, the solution could be written either x>3 OR (3, +inf). But what happens if the solution to the system of equation is x>3 or x<-3? The solution can be easily written as: (-inf, -3) U  (3, inf) instead of 'x>3 or x<-3' which can be confusing.

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How do you write the equation of this description: the graph of a parabola has a vertex of (2,3) and vertically stretched by 3
Mademuasel [1]

The equation of parabola is  y = 3x²- 12x+ 15.

<u>Step-by-step explanation:</u>

The equation of the parabola is given as y = x².

If it has a vertex then the equation can be written as,

y = a(x-h)² + k

where (h, k ) is the vertex and a is the stretching or compressing factor.

So here the vertex is (2,3) and it is vertically stretched by 3.

So the equation is given as,

y = 3(x-2)² + 3

y = 3(x² -4x+4) + 3

 = 3x² - 12x + 12 + 3

y = 3x²- 12x+ 15 is the equation of the parabola.

3 0
3 years ago
D = √[( x₂ - x₁) + (y₂ - y₁)]
kondaur [170]
As it stands, it's none of those. I believe you were going for the distance formula but copied it wrong.
7 0
2 years ago
Read 2 more answers
Tommy's wife wants to fence in her circular garden. How many feet of fencing will she need if the diameter of the garden is 16 f
pashok25 [27]

Answer:

C) 16π ft

Step-by-step explanation:

Fencing is perimeter.  The perimeter of a circle is the circumference.

The circumference of a circle is pi time diameter

C= pi*d

We know the diameter is 16

C = 16*pi  ft

We will need 16 pi ft of fencing


4 0
3 years ago
Read 2 more answers
What is the answer to 1/7 times by 6
harina [27]

Answer:

6/7

Step-by-step explanation:

multiply the 1 by 6 and put that over 7

8 0
3 years ago
1/2 (4x+6)=1/3 (9x-24)
Maslowich
The answer to your question is X= 11
8 0
3 years ago
Read 2 more answers
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