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kodGreya [7K]
3 years ago
5

State the domain of the following : a. y = √ x + 1 /√ 25 − x^2 b. f(x) = (√ 1 − x ) ln x

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

a.) -1 < x < 5

b.) x <= 1

Step-by-step explanation: Domain is the independent variable (x).

For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.

a.) y = √ x + 1 /√ 25 − x^2 

Domain : -1 < x < 5

That is the minimum value for x is 0 and the maximum value is 4

b. f(x) = (√ 1 − x ) ln x

Domain : x <= 1

That is, x is less than or equal to 1

The maximum value for x is 1. x can be

1, 0, -1, -2, -3, ..........

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Which point is a solution to the system of inequalities below?
vodomira [7]

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

7 0
1 year ago
PLEASE HELP WILL GIVE BRAINLIEST
saul85 [17]

Answer:

\sqrt{0.02}

Step-by-step explanation:

Let's first get the square root of 0.02...

≅ 0.1414

Let's convert that to a percentage...

14.14%, which is less than 18%, so it checks out in that sense...

Now, let's convert 0.1414 to a fraction...

\frac{707}{5000}, which is greater than  \frac{1}{8}  (You can check this by multiplying \frac{1}{8} by \frac{625}{625})

Therefore, \sqrt{0.02} makes the inequality true.

6 0
3 years ago
Find the slope of the line passing through the points (-5, 7) and (-5, -1)
Trava [24]

Answer:

Step-by-step explanation:

(-1 -7)/(-5 + 5) = -8/0 = undefined

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3 years ago
Whole segment length =100,one segment is x,the other is x+2,what is x?
Elanso [62]
X=24 this answer needs to be 20 characters long
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