Answer:
A,C,D
Step-by-step explanation:
Complete Question:
<em>"Which pairs of points would result in a line with a rate of change of 2:1? select all that apply"</em>
<em>A.(−4,−11) and (−2−7)
</em>
<em>B.(5,6) and (−5, 12)
</em>
<em>C.(0,−3)and (−4,−11)
</em>
<em>D. (0,−3) and (5, 7)</em>
<em />
Rate of change is the slope. 2:1 would mean a slope of simply, 2.
We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:
Where m is the slope and
x_1 is first x point
x_2 is second x point
y_1 is first y point
y_2 is second y point
Let's calculate slope of each of the choices.
A.
THis one is okay.
B.
THis one is not 2:1.
C.
THis one is okay.
D.
This one is okay.
Hence, A, C, and D all have rate of change of 2:1
N; n + 2 - the two consecutive even integers
n + 3(n + 2) = 46
n + 3n + 6 = 46 <em> |subtract 6 from both sides</em>
4n = 40 <em> |divide both sides by 4</em>
n = 10
n + 2 = 10 + 2 = 12
<u>Answer: 10 and 12.</u>
1 meter = 100 centimeters
2.5 meters = 250 cm
If you use 50 cm, then you have
2 meters or 200 cm left
The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Combining three equal groups means that we will mainly depend on multiplying the quantity by 3 to get the total
<u><em>Examples are shown below:</em></u>
1- Mrs Nadia teaches three classes. Each class has 25 student. How many students does Mrs Nadia teach in total?
<u>In this problem</u> we will be combining three equal groups of students where each group has 25 students, therefore:
Total number of students = 3 * 25 = 75 students
2- John has three bags of candies. Each bag contains 10 pieces of candies. How many candies does John has?
<u>In this problem</u> we will be combining three equal groups of candies where each group has 10 pieces, therefore:
Total number of candies = 3 * 10 = 30 candies
Hope this helps :)
