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ladessa [460]
2 years ago
9

I got disconnected from my tutor, can't reconnect. need an explanation ​

Mathematics
1 answer:
kherson [118]2 years ago
5 0

The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

For the equation

-3 + 4 |2<em>x</em> - 5| = 14

rearrange terms to get

|2<em>x</em> - 5| = 17/4

Now,

• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then

2<em>x</em> - 5 = 17/4

• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that

-(2<em>x</em> - 5) = 17/4, or

2<em>x</em> - 5 = -17/4

In the first case,

2<em>x</em> - 5 = 17/4

2<em>x</em> = 17/4 + 5 = 37/4

<em>x</em> = 37/8

In the second case,

2<em>x</em> - 5 = -17/4

2<em>x</em> = -17/4 + 5 = 3/4

<em>x</em> = 3/8

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How many times does 28 go in to 45
taurus [48]

Answer:

<em>About 1.61 times </em>

Step-by-step explanation:

45/28≈1.61 times

So the answer is 1.61 Times

<em>Hope I Helped</em>

4 0
3 years ago
1.17-0.07a+(-3.92a) please help asap
Dovator [93]

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

4 0
3 years ago
I’m stuck can someone help me thank you
Airida [17]

Answer:

the answer may be 127.

Step-by-step explanation:when you add 90° + 37° you will get the answer 127

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3 0
3 years ago
Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of
ivanzaharov [21]

<u>ANSWER:</u>

Kari bought 3 boxes of cookies to share. The algebraic expression is \frac{36}{x}

<u>Solution:</u>

Given, Kari bought 3 boxes of cookies to share with a book club.  

Each box contains 12 cookies.  

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}

=\frac{36}{x} \text { cookies. }

Hence, the algebraic expression is \frac{36}{x}

7 0
3 years ago
Read 2 more answers
A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3
Cloud [144]

Answer:

x=7, so the smaller number is 7 and the larger number is 21.

Step-by-step explanation:

x=3x+5=33

Let x=3:

(3)+3(3)+5=3+9+5=17, not 33, so x is not 3

Let x=5:

(5)+3(5)+5=5+15+5=25, not 33, so x is not 5

Let x=7:

(7)+3(7)+5=7+21+5=33, so x=7

Let x=9:

(9)+3(9)+5=9+27+5=41, not 33, so x is not 9

Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.

6 0
3 years ago
Read 2 more answers
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