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Triss [41]
3 years ago
13

The relationship between sets of rational numbers is pictured below

Mathematics
1 answer:
REY [17]3 years ago
6 0

The correct answer is G. Integers include whole numbers and natural numbers.

Explanation:

The graph presented shows the relationship between different sets of numbers. In this graph, the second most general category is integers, and this covers or includes two smaller categories which are whole numbers and natural numbers. This means the whole and natural numbers are part of integers.

Indeed, integers include numbers such as 10, 256, or -6 because these can be expressed without using fractions or decimals. Also, this category includes whole or non-decimal numbers, as well as natural numbers, which are positive whole numbers such as 36 or 1546. According to this, the correct answer is G.

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Identify the domain of the function shown in the graph.
ivanzaharov [21]

For this case, we find the equation of the line, for this we look for points where the line passes:

(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)

We found the slope:

m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}

Thus, the equation of the line is:

y = \frac {1} {2} x + b

We substitute a point to find "b":

0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1

Finally:

y = \frac {1} {2} x + 1

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

4 0
3 years ago
(-2x+3y=8....(i)<br>( x+y=2.........(ii)<br>solve by elumination method and substitution​
yan [13]

Answer:

 x = -2/5

 y = 12/5

Step-by-step explanation:

Substitution method;

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

x = 2 - y

substitute the value of x in equ (i)

  (-2)* (2-y) + 3y = 8

     -4 + 2y + 3y = 8

                   5y = 8 + 4

                     y = 12/5

substitute the value of y in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

elimination method:

-2x + 3y = 8  -----------(i)

x + y =2   -----------(ii)

                                    (i)   ====>    -2x + 3y = 8

multiply equ (ii) by 2         ====>    <u>  2x + 2y = 4</u>

             add (i) and (ii)                             5y = 12

                                                                   y = 12/5

Substitute in equ (ii)

x + 12/5 = 2

        x = 2 - 12/5

           = 2*5/1*5 - 12/5  

          = 10 -12/5 = -2/5

Ans: x = -2/5

       y = 12/5

                                                       

               

5 0
3 years ago
Read 2 more answers
Adam currently runs about 40 miles per week, and he wants to increase his weekly mileage by 30%. How many miles will Adam run pe
BigorU [14]

Answer:

52 miles/week (12 more miles per week)

Step-by-step explanation:

In order to know the miles per week with this increasement, we'll use the rule of 3, assuming that 40 miles is the 100% innitially so:

If:

40 miles --------->100%

X miles ----------> 30%

Solving for X we have the following:

X = 30 * 40 / 100 = 12 miles

So, if Adam wants to increase his weekly mileage by 30%, he needs to run 12 more miles, and that makes a total of 52 miles/week

6 0
3 years ago
Write the expression n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r using exponents.
hoa [83]

Answer:

n² p²r³

Step-by-step explanation:

n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

Write using exponents

There are 2 n terms

n²⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

There are 2 p terms

n² p²⋅ r ⋅ r ⋅ r

There are 3 r terms

n² p²r³

5 0
1 year ago
Chris deposited $1,000 into an account that earned 8% compound interest over 48 months. What is the account value earned after 4
blondinia [14]

Answer:

I think you just turn the percent into a decimal by moving the decimal 2 numbers to the right, and multiply all the numbers

3 0
3 years ago
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