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3 years ago

Which inequality is true?

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

Answer:

B is correct

Step-by-step explanation:

These are Absolute Value expressions. (How far from 0 on the number line) So disregard negative or positive signs. The only true statement would be 2<4.

Alja [10]3 years ago

3 0

Answer:

Step-by-step explanation:

B because the little lines that the numbers are between means absolute vale which means even if its negative its still positive as long as the negative sign is in the little lines. b= 2<4 which is correct

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Equivalent expression for 77x+21

yulyashka [42]

You could factor out a 7 to get
$7(11x + 3)$

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3 years ago

A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?

frozen [14]

Gain - loss = profit
55- 45 = $10 net profit

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3 years ago

Slope of the line? Please I’m almost done

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3 years ago

If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?

Ira Lisetskai [31]

<h3>Answer: 10 elements</h3>

=======================================================

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = <u>10 items in set A U B</u>

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

4 0

2 years ago

5x^2-2x=2<br>help plsmmm

Yuki888 [10]

Answer:

Presumably you're solving for x here? Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

$5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\$

let's solve it. First we'll multiply both sides by five, making the first term a perfect square:

$25x^2 - 10x - 10 = 0\\$

Now we'll add 11 to both sides:

$25x^2 - 10x + 1 = 11\\$

Which makes the left side a perfect square:

$(5x - 1)^2 = 11$

And now we can solve for x:

$(5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}$

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

$x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86$ $x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46$

7 0

2 years ago