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WITCHER [35]
2 years ago
10

Which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2

Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

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PLEASEPLEASE ANSWER
IRINA_888 [86]

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

3 0
3 years ago
Solve the proportional equation 3/r = 5/r+3
romanna [79]

Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

6 0
3 years ago
Show the working for <br><br> 3y^2 x 2y^5 x 5y^4 over 6y^3 x 4y^4
solong [7]

Answer:

please I can't do it I have not been thought

6 0
2 years ago
Hasil dari 37²-√576:√144 adalah
valina [46]

Answer:

<em>Answer is</em><em> </em><em>1345</em><em>:</em><em>12</em>

Step-by-step explanation:

{37  }^{2}  -  \sqrt{576}  =  {37}^{2}  - 24 \\  = 1345 \\  {37}^{2}  -  \sqrt{576} : \sqrt{144}  = 1345:12

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money
dybincka [34]

The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread

<h3>Calculation of weekly quantity of bread</h3>

The number of days the restaurant opens per week = 6 days.

The number of bread she uses everyday is = 9 loaves.

Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.

Learn more about multiplication here:

brainly.com/question/4721701

#SPJ1

4 0
2 years ago
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