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6 days ago

Identify the range of the function shown in the graph

Mathematics

2 answers:

PIT_PIT [3.9K]6 days ago

8 0

B

The choice is b because the graph on the right illustrates that the range, which comprises all possible y values, extends infinitely in both positive and negative directions.

Leona [4.1K]6 days ago

4 0

The domain refers to all potential input values, specifically represented by the x-axis on a graph. Conversely, the range includes all possible output values, depicted along the y-axis.

The graph clearly extends horizontally from (-∞,∞) on the x-axis, indicating that its domain is (-∞,∞).

Similarly, it can be seen that the graph stretches vertically from (-∞,∞) on the y-axis, denoting that the range is also (-∞,∞).

This indicates the function includes an infinite array of values. Therefore, there are no limitations on either the domain or the range for this function.

Explanation

This can be simplified as follows:

10 times a given quantity of _____ hundreds results in 60 hundreds
60 hundreds convert to _____ thousands

We will divide this into two segments:

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$ ... Equation-1

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$ ... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$

$\boxed{ \ 1,000 \times N = 6,000 \ }$

Both parts will be divided by 1,000, essentially being multiplied by $\frac{1}{1,000}$ .

$\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }$

Thus, we conclude with $\boxed{\boxed{ \ N = 6 \ }}$

Next, we process Equation-2 to derive M's value.

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$

$\boxed{ \ 6,000 = M \times 1,000 \ }$

Rearranging this equation to place M on the left side appears as follows:

$\boxed{ \ M \times 1,000 = 6,000 \ }$

Again, both sides undergo division by 1,000, which translates to multiplication by $\frac{1}{1,000}.$ .

$\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }$

This results in $\boxed{\boxed{ \ M = 6 \ }}$

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

$\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }$

$\boxed{ \ 6 \times thousands = \ M \ thousands} \ }$

$\boxed{\boxed{ \ M = 6 \ }}$

Additional resources

A more detailed version of this topic
2 thousands 7 tens divided by 10 equals what?
100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

4 0

11 days ago

Read 2 more answers

Write the number 0.21212121.. as a fraction let x=

AnnZ [3900]

To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.

Let’s denote the repeating decimal as x.

Thus, you can write

x = 0.212121...

Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:

100x = 21.212121...
x = 0.212121...

Next, set up a subtraction by taking the second equation from the first:

100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21

Solving for x involves dividing both sides by 3:

33x = 7

Then, divide both sides by 33:

x = 7/33

Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.

Answer: the fraction is 7/33

7 0

8 days ago

AA3+2=AAA<br>CC6+6=CBB<br> ABC= ?

Zina [3917]

From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.

9 0

17 days ago

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

zzz [4035]

Answer:

7 years

Step-by-step explanation:

Suri is 17 years old.

Her cousin's age is c.

Suri's age is stated to be 4 less than 3 times her cousin’s age.

This means we take 3 times her cousin’s age and subtract 4.

17 = 3c - 4

We now need to solve for c, which represents her cousin's age.

Add 4 to each side:

17 + 4 = 3c - 4 + 4

17 + 4 = 3c

21 = 3c

Now divide both sides by 3:

21/3 = 3c/3

7 = c

Thus,

Her cousin is 7 years old.

4 0

3 days ago

The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon bu

lawyer [4039]

Answer:

The total capacity of the tank is 14 1/2 gallons or 29/2.

The size of bucket is 1 1/4 gallons, equal to 5/4.

The expression representing this situation can be

29/2 divided by 5/4.

Therefore, the number of buckets applied equals 29/2 multiplied by 4/5.

5 0

10 hours ago

Read 2 more answers