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3 years ago

What is a domain? What is a range?

Mathematics

1 answer:

lidiya [134]3 years ago

5 0

Answer:

he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

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A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arit

igomit [66]

Answer:

The value of x would be 16.

Step-by-step explanation:

In a data,

Median : middle value of the data when the data is written is ascending order.

While,

$\text{Average}=\frac{\text{Sum of all observations}}{\text{Number of the observations}}$

Here, the given data is,

4, 5, 6, 8, 10, and x

So, median = = = 7.

Number of the observations = 6,

Sum of the observations = 4+ 5+6+8+10+x = 33 + x

Thus,

Average = $\frac{33+x}{6}$

According to the question,

$\frac{33+x}{7}=7$

$33+x=49$

$x=49-33$

$x=16$

Therefore, the value of x would be 16.

3 0

3 years ago

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

3 years ago

Suzanne is 64 inches tall. What is Suzannes height in feet and inches

Elodia [21]

There's 12 inches in 1 foot.

64 ÷ 12 = 5 with a remainder of 4

Suzanne is 5 foot 4 inches.

Hope this helps.

5 0

3 years ago

Read 2 more answers

Is 21,063 divisible by three? If it is, write a number as a product of three and another factor if not, explain

Zarrin [17]

Twenty-one thousand and sixty-three divided by three is 7021

First, take any number (for this example it will be 492) and add together each digit in the number (4+9+2 = 15). Then take that sum (15) and determine if it is divisible by 3. The original number is divisible by 3 (or 9) if and only if the sum of its digits is divisible by 3 (or 9).If a number is a multiplication of 3 consecutive numbers then that number is always divisible by 3. This is useful for when the number takes the form of (n * (n - 1)*(n + 1))Example: 492 (The original number). 4 + 9 + 2 = 15 (Add each individual digit together). 15 is divisible by 3 at which point we can stop. Alternatively we can continue using the same method if the number is still too large: 1 + 5 = 6 (Add each individual digit together). 6 ÷ 3 = 2 (Check to see if the number received is divisible by 3). 492 ÷ 3 = 164 (If the number obtained by using the rule is divisible by 3, then the whole number is divisible by 3)

4 0

3 years ago

Determine the point on the hyperbola 3x^2−10y^2=20 closest to the point (0, -7).

stepan [7]

Answer:

Step-by-step explanation:

7 0

3 years ago