The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Answer:
The correct option is;
c. Her score was better than those of 60% of all test takers
Step-by-step explanation:
Percentile Score is the score of an exam or test candidate with regard to the relative performance of the other persons that took part in the exam or test.
The percentile score is calculated by converting candidates scores into a scale consisting of the scores of all candidates and ranging from 0 to 100
A 60th percentile score means that the student performed better than 60% of all the candidates of the test and 40% of the test takers scored the same as or better than the student.
Greetings!
The best way to compare fractions is to find the LCM (The Lowest Common Denominator) of each of the fractions. This can be done simply by listing the multiples of the denominators.
Multiples:
3: 3,6,9,12,15,18,21,24,27...210,213
10:10,20,30,40,60,70,80...210,220
6: 6,12,18,24,30,36,42,48...210,216
7: 7,14,21,28,35,42,49...210,217
The LCM is 210:
3*70=210
10*21=210
6*35=210
7*30=210
Now, we must do what we do the denominators to the numerators:
1*70=70
70/210
2*21=42
42/210
1*35=35
=35/210
2*30=60
=60/210
The fraction with the largest numerator has the greatest value; In this case it 1/3 or 70/210.
Hope this helps.
-Benjamin
