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chubhunter [2.5K]
4 years ago
10

What are the solutions to the inequality?

Mathematics
1 answer:
denis23 [38]4 years ago
8 0

(x - 3)(x + 5) \leqslant 0 \\ \begin{cases}x - 3 \geqslant 0 \\x + 5 \leqslant 0 \end{cases} \: \vee \: \begin{cases} x - 3 \leqslant 0\\x - 5 \geqslant 0 \end{cases} \\ \Leftrightarrow \begin{cases}x \geqslant 3 \\ x \leqslant  - 5\end{cases} \: \vee \:  \begin{cases}x \leqslant 3 \\x \geqslant   + 5 \end{cases} \\ \Leftrightarrow x\in\emptyset \: \vee \:  - 5 \leqslant x \leqslant 3 \\ \Leftrightarrow  - 5 \leqslant x \leqslant 3

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Find the area of a circle with a circumference of 12.56 units
Maru [420]

Step-by-step explanation:

π= 3.14

Given

Circumference = 12.56 units

First calculating radius

so 2πr = 12.56

2 * 3.14 * r = 12.56

6.28 r = 12.56

Therefore r = 2 units

Now calculating Area

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3 0
3 years ago
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3 years ago
Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages
zvonat [6]

Answer:

Father's age = 48

Daughter's age = 24

Step-by-step explanation:

Let x be father's age and y be daughter's age.

1st equation:

x = 2y

2nd equation:

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Replacing value of x from 1st equation,

(2y - 16) = 4(y - 16)

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4 0
3 years ago
How do you simplify 3(y-8)+3(2y)
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Answer:

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Step-by-step explanation:

3(y-8)+3(2y)

3y-24+6y

9y-24

7 0
3 years ago
8. Which of these is not an integer 6 6 A 3 C E 3
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An integer is a whole number. 

The answer isn't A, because 6/3=2 and 2 is a whole number.

The answer isn't C, because 6/2=3, and 3 is a whole number.

The answer therefore has to be B, because 3/6=1/2 and 1/2 isn't a whole number or an integer. 
6 0
3 years ago
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