The value of a is
Step-by-step explanation:
<u>1. Determine the other solution of x</u>
If one value is 5 + then the other value is 5 -
<u>2. Use reverse technique to find the equation</u>
(5 + ) (5 -
) = 0
25 - +
-
= 0
- + 25 = 0
<u>3. The equation is</u> - + 25 = 0
<u>4. Find the value of a</u>
a is the number with the variable therefore it is -
Keyword: quadratic equation, solution
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Answer:
The complete first set is;
20, 20.5, 20.5, 21.5, 21.5, 22
The complete second set is;
20, 21, 21, 21, 21, 22
Step-by-step explanation:
The mean or the average value of a data set is simply;
(sum of the values in the data set) / ( number of values in the set)
In the first set we are given the following values;
20,20.5,20.5,21.5,21.5
We are required to complete this set so that we have a total of 6 values with a mean of 21.
We let the sixth value be x. Going by the above definition of the mean we have the following equation;
We simplify the equation and solve for x;
The complete set is thus;
20,20.5,20.5,21.5,21.5,22
In the second set we are given the following values;
20,21,21,21,21
We are also required to complete this set so that we have a total of 6 values with a mean of 21.
We let the sixth value be y. Going by the above definition of the mean we have the following equation;
We simplify the equation and solve for y;
The complete set is thus;
20,21,21,21,21,22
Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: . Multiplying the two fractions results in 4/90 which can be simplified to 2/45.