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2 years ago

use interval notation to express the following: the set of all numbers greater than or equal to 5 and less than or equal to 7

1 answer:

8 0

[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.

We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Let x belong to the set of real numbers (R)

Now, x≥5 and x≤7.

So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]

Therefore, the notation will be [5, +∞) ∪ (-∞,7].

To learn more about sets visit:

brainly.com/question/8053622.

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FOR BRAINLIST ANSWER AND 10 POINTS ANSWER ALL PLZ !!!!!

igor_vitrenko [27]

<h2>Greetings!</h2>

<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>

197 - 153 = 44

285 - 241 = 44

<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>

8 ÷ 4 = 2

So then we can subtract two lots of 44 from 153:

153 - (44 x 2) = 65

<h3>So the starting amount was 65.</h3>

<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>

The amount of gallons per minute can be found out by dividing the amount by 4:

44 ÷ 4 = 11

<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>

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3 years ago

Simplify 8.3-4.5(6.1+.5)

klemol [59]

The answer is -21.4

Hope that answers your question ;)

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3 years ago

Find all the zeros of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7B6x%7D%5E%7B4%7D%20%20%20-%20%20%7B7x%7D%5E%7B

Svetradugi [14.3K]

Answer:

{-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

6x^2 -7x +2 = 0

This can be factored ...

(6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

(3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.