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shtirl [24]
4 years ago
6

If f(x)=square root x-3, which inequality can be used to find the domain of f(x)? A square root x-3 =>0 B x-3=>0 C square

root x-3<=0 D x-3<=0
Mathematics
2 answers:
dangina [55]4 years ago
6 0
The answer is x-3=>0 i just took the quiz
goldenfox [79]4 years ago
5 0

we have

f(x)=\sqrt{x-3}

we know that

The term in the root square can not be a negative number

so

(x-3)\geq0\\x\geq3

the domain is the interval----------> [3,∞)

therefore

<u>the answer is the option </u>

B (x-3)=>0

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7 0
3 years ago
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muff
storchak [24]
<h3>Answer:  60 muffins</h3>

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

Explanation:

x = some positive whole number

2x = amount Helen baked initially

5x = amount Rebecca baked initially

Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.

So (2x)/(5x) = 2/5

Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,

(amount Helen bakes)/(amount Rebecca bakes) = 1/2

(2x+12)/(5x) = 1/2

2(2x+12) = 5x*1 .... cross multiply

4x+24 = 5x

24 = 5x-4x

24 = x

x = 24

From here, we then can say,

  • Helen = 2x+12 = 2*24+12 = 48+12 = 60
  • Rebecca = 5x = 5*24 = 120

Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.

Furthermore, note how

  • 2x = 2*24 = 48
  • 5x = 5*24 = 120
  • 48:120 reduces to 2:5 after dividing both parts by 24

This helps confirm we have the correct answer.

6 0
3 years ago
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