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gtnhenbr [62]
3 years ago
12

The range of the function f(x)=x+5 is (7,9). What is the function's domain? Is it (2,4) (-2,-4) (12,14) (-12,-14) (0,5) Mathemat

ics
Mathematics
1 answer:
Andru [333]3 years ago
5 0
7=x+5
2=x

9=x+5
4=x
range is (2,4)
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0
2 years ago
Need help with geometry
ra1l [238]
The answer is x=3 because abt+tbc=abc
3 0
3 years ago
2 x 2√3 please! Thank you.
IceJOKER [234]
2 x 2 <span>√ 3  

You can multiple 2 by 2 because they both are outside numbers . But you can't multiple </span><span>√3 because it is inside the radical.

So.. the answer is 4</span><span>√3</span>
3 0
3 years ago
Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair
Greeley [361]
As pair means that 2 socks with the same color need to be drawn for it to be identified as a pair.
However there is a probability that if u only pick 2 socks, then they could kid each have different COLORS.
By picking 3 socks (bearing in mind there are only 2 types of color) it’s guaranteed that two socks will have the same color.
5 0
3 years ago
Only simplify! please solve
Sholpan [36]

Answer:

-x + 2y - 36

Step-by-step explanation:

-4(x + 9) + 3(x - y) + 5y

Distribute;

-4x - 36 + 3x - 3y + 5y

Collect like terms;

-1x + 2y - 36

7 0
3 years ago
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