Answer:
GCF: 2x
Factored: 2x(x+3)(x-3)
Step-by-step explanation:
Answer:
5^2 + h^2 = 10^2
Step-by-step explanation:
This is a clear example of the Pythagorean Theorem, a relation of all sides in a right triangle. The equation itself is a^2 + b^2 = c^2. By simply plugging in the given values into the triangle, you would get the answer.
The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>
What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>
What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots
- 6x³ + 9x² = x - 2
Add two to both sides
→
- 6x³ + 9x²+2 = x - 2 +2
→
- 6x³ + 9x²+2 = x
Subtract X from both sides
→
- 6x³ + 9x²+2 -x = x -x
→
- 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a
+ bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
#SPJ1
Answer:
12
Step-by-step explanation:
(6)² = 3x
then x= 36/3
x= 12
Answer:
32760 ways
Step-by-step explanation:
Given
Number of Candidates = 15
Job Positions = 4
Required:
Number of outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved in any of the following two ways
Method 1.
The first candidate can be chosen from any of the 15 candidates
The second candidate can be chosen from any of the remaining 14 candidates
The third candidate can be chosen from any of the remaining 13 candidates
The fourth candidate can be chosen from any of the remaining 12 candidates
Total Possible Selection = 15 * 14 * 13 * 12
<em>Total Possible Selection = 32760 ways</em>
<em></em>
Method 2:
This can be solved using permutation method which goes thus;

Where n = 15 and r = 4
So;
becomes





<em>Hence, there are 32760 ways</em>