The solutions for ‘x’ in the given equation are – 3 and - 7
<u>Step-by-step explanation:</u>
Given equation:
To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get
(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)
x = - 3, -7
Verify above values by multiply both terms,
(x + 3) (x + 7) = 0
(so values obtained from factor method are correct)
Or, can use quadratic formula, for 
, the solutions are given by:
In the given equation, a = 1, b = 10, c = 21, apply these in above formula
So,
When 
When 
Hence, the values for ‘x’ are - 3 and - 7
Answer:
The first one is 36 i think and the second is 28 i think
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
5^2=25
2^2=4
25+4=29
Answer:
a.) 3x = 18 (where x = width)
b.) Area = 66 squared feet
Step-by-step explanation:
2{x + (2x-1)} = 34
3x - 1 = 17
x = 6 feet
length = 11 feet
Area = x (2x -1)
Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.
Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.
In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.
Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually
