To which subset of the real numbers does √2 belong

The sum (f + g)(x) of two functions f(x) = √(4x + 6) and g(x) = √(4x - 6) is determined by simply adding the two functions together, hence (f + g)(x) = √(4x + 6) + √(4x - 6).

The functions provided are f(x) = √(4x + 6) and g(x) = √(4x - 6). The question asks for the value of (f + g)(x), which is the sum of f(x) and g(x).

To find (f + g)(x), you simply add the two functions together. Hence, (f + g)(x) = f(x) + g(x) = √(4x + 6) + √(4x - 6).

This indicates that the function (f + g)(x) is the addition of the values of f(x) and g(x) at any given value of 'x'.

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To find the total number of pairs of skates rented in April and May, multiply the number rented in April by 3 and add it to the number rented in May. The total number rented is 872 pairs.

To find the number of pairs of skates rented during April and May, we need to know the number of pairs rented in April and the number rented in May. We are given that 218 pairs were rented in April and that 3 times that amount were rented in May. To find the total, we can multiply the number rented in April by 3 and add it to the number rented in May.

Total number rented = (218 pairs in April) + (3 * 218 pairs in May)

Total number rented = 218 pairs + 3 * 218 pairs = 218 pairs + 654 pairs = 872 pairs

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The angles in transverse parallel lines are related through some theorems such as vertical angles, corresponding angles, etc. the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]

Given the attached diagram

First, we solve for x using the corresponding angle theorem

[tex]5x + 55 = 2x + 100[/tex] ---- corresponding angles are equal

Collect like terms

[tex]5x - 2x = 100 - 55[/tex]

[tex]3x = 45[/tex]

Divide both sides by 3

[tex]x = 15[/tex]

We then  solve for [tex]\angle 2[/tex] using the straight line theorem

[tex]\angle 2 + 5x + 55 = 180[/tex] ---- sum of angles on a straight line

Substitute 15 for x

[tex]\angle 2 + 5 \times 15 + 55 = 180[/tex]

[tex]\angle 2 + 75 + 55 = 180[/tex]

Collect like terms

[tex]\angle 2 =- 75 - 55 + 180[/tex]

[tex]\angle 2 =50[/tex]

Hence, the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]

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Answer:

the temp is  65 and there was 224 chirps

Step-by-step explanation:

8.038 x 10 to the 8th power in standard form is 803,800,000, which is obtained by moving the decimal point 8 places to the right and filling in zeros as needed.

To answer the student's question about converting 8.038 x 10 to the 8th power to standard form, we need to recognize the concept of scientific notation. When a number is written in scientific notation with a positive power of 10, like 8.038 x 108, it means the decimal point will move to the right the number of times indicated by the exponent. In this case, 8 places. So starting from 8.038, move the decimal point eight places to the right to convert it into standard form.

By doing so, we add zeros to fill in the places as we move the decimal point: 803,800,000. Therefore, 8.038 x 10 to the 8th power in standard form is 803,800,000.

Answer: About 111 of moons could be lined up in a row between Earth and the moon .

Step-by-step explanation:

Given : The diameter of the moon is about 3,476 kilometers.

The distance from Earth to the moon is about 384,400 kilometers.

Then , the number of moons could be lined up in a row between Earth and the moon will be :-

[tex]384,400\div3,476\\\\=110.586881473\approx111\text{ Rounded to the nearest whole number }[/tex]

Hence, about 111 of moons could be lined up in a row between Earth and the moon .

Answer:

1/12

Step-by-step explanation:

The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12 of the girls

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction of the girls in class that have neither blue or green eyes be represented as B

Now , the value of B is

Let the fraction of girls in the class that have blue eyes = ( 2/3 ) of girls

Let the fraction of girls in the class that have brown eyes = ( 1/4 ) of girls

So , the total fraction A = ( 2/3 ) + ( 1/4 )

The total fraction of girls with either blue of brown eyes A = ( 11/12 ) of girls

And , fraction of the girls in class that have neither blue or green eyes is given by B = 1 - A

On simplifying , we get

The fraction of the girls in class that have neither blue or green eyes is given by B = 1 - 11/12

The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12

Therefore , the value of B is ( 1/12 ) of the girls

Hence , the fraction is 1/12 of the girls

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Answer:

[tex]5^4 = 625[/tex]

Step-by-step explanation:

There are 5 possible odd digits to choose from:  1,3,5,7,9.

When we chose our first digit, we have 5 choices (the possible odd digits). For every one of those 5 choices, we can chose our second digit in 5 different ways again, then we have 5*5 = 25 ways for choosing our first two digits. We can do the same again, as for every one of the 25 first two digits, we can chose our third digit in 5 different ways (again, the odd numbers). So we multiply it by 5 again. Repeating this one more time, because we have 5 different ways to chose our fourth digit. At the end we will have

[tex]5*5*5*5 = 5^4 = 625[/tex]

This is a commun counting technique.

The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and 1/24 inches. Therefore the correct option is H.

Step 1: Convert mixed numbers to improper fractions

For Week 1, we have 2 2/3 inches, which is a mixed number. We convert it to an improper fraction. Since 2 is equal to 6/3, adding 2/3 gives us 8/3 inches.

Step 2: Sum up the rainfall for all weeks

Now we add the rainfall for each week:

- Week 1: 8/3 inches

- Week 2: 1/8 inches

- Week 3: 1 3/4 inches, which is the same as 7/4 inches when converted to an improper fraction.

- Week 4: 1/2 inches

Step 3: Calculate the total rainfall

The total rainfall for April is the sum of all these amounts.

Let's perform this calculation.

The total amount of rainfall in Maryville for the month of April, when summed up and expressed as an improper fraction, is \( \frac{121}{24} \) inches.

This total is reached by adding the rainfall for each week:

- Week 1's rainfall is [tex]\( \frac{8}{3} \)[/tex] inches.

- Week 2's rainfall is [tex]\( \frac{1}{8} \)[/tex] inches.

- Week 3's rainfall is [tex]\( \frac{7}{4} \)[/tex] inches.

- Week 4's rainfall is [tex]\( \frac{1}{2} \)[/tex] inches.

Adding all these fractions together gives us the total rainfall for the month.
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and [tex]\( \frac{1}{24} \)[/tex] inches.

x/6 = 12/9

x = 12/9 * 6

x = 8

check:

8/6 = 1.3333

12/9 = 1.3333

Answer:

There can be many example for this equation like:

1. There are three friends and all have the same amount of money. Together they give $25 in a restaurant and they are left with $125. How much money did each have?

We can solve this like:

Let each friend had 'x' money so three friends had 3x money.

They gave out $25, means 3x-25 and are left with $125.

So, complete equation becomes :

[tex]3x-25=125[/tex]

Solving for x we get;

[tex]3x=125+25[/tex]

[tex]3x=150[/tex]

x = 50

So, each friend had $50.