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ruslelena [56]
3 years ago
10

Domain and range of f(x)=sqrt(x^2 -4)

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

The domain of this function is all real numbers, since no matter what x value you input you will get a y value. The range of this function is (-4,\infty), because no matter what x value you input, you cannot go below -4. Hope this helps!

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A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

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

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
2 years ago
What is the inverse of y=2x squared -4
Bumek [7]
y=2x^2-4\ \ \ |+4\\\\2x^2=y+4\ \ \ |:2\\\\x^2=\dfrac{y+4}{2}\\\\x=\sqrt{\dfrac{y+4}{2}}

y^{-1}=\sqrt{\dfrac{x+4}{2}}=\dfrac{\sqrt{x+4}}{\sqrt2}=\dfrac{\sqrt{2(x+4)}}{2}=\dfrac{\sqrt{2x+8}}{2}
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3 years ago
5x-3(x-2)=4 <br><br> This is for Algebra 1
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Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

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The Oates family went out for dinner the price of the meal was $33.95 the sales tax was 7.25% of the price of the meal . The tip
crimeas [40]

Well you have to go $33.95 x 7.25 and that will be your answer. Do it fast!

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Find 4 more than the quotient of 9 and 2
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Im not sure but it should be 8.5
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3 years ago
Read 2 more answers
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