Given the quadratic functions expressed as;
x² - 6x = 12
The value of p given the quadratic expression is -3
Complete the square at the left hand side of the equation.
Add the square of the half of coefficient of x to both sides.
coefficient of x = -6
Half of coefficient of x = -6/2 = -3
Square of the result = (-3)² = 9
Add 9 to both sides of the equation
x² - 6x + 9 = 12 + 9
Factoring the left hand side
(x-3)² = 21
Comparing the result with (x+p)² = q
The value of p wil be -3
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Answer:
p = - 3
Step-by-step explanation:
Given
x² - 6x = 12
To obtain the required form use the method of completing the square
add ( half the coefficient of the x- term )² to both sides, thus
x² + 2(- 3)x + 9 = 12 + 9
(x - 3)² = 21
Thus p = - 3
$85,500
-$36,000
$94,000
$58,000
Answer:
The correct option is $94,000
Step-by-step explanation:
Yearly premium under the insurance plan = $1,000
Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000
Number of people insured = 100
Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000
Average expenses incurred on accident = $38,000
Deductible = $4,000
Net expenses incurred per accident = $38,000 - $4,000 = $34,000
In 4 years , 9 motorcycle drivers had an accident
Total expenses incurred for accident = $34,000 * 9 = $306,000
Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000
Hope it helps.
Thank you !!
Hello There!
They're in different places the 3 in the ones place couldn't equal as much as the three in the thousands place. It all depends on where the numbers are in relation to the decimal.
The required number would be 80 which is 24.5% equal to 19.6.
The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Let the required number would be x
To determine the required number 24.5% represents as a fraction, you can divide 24.5 by 100. This gives you 0.245.
To find out required number 19.6 is 24.5% of, you can set up the following equation:
19.6 = 0.245x
To solve for x, you can divide both sides of the equation by 0.245:
x = 19.6 / 0.245
x = 80
Therefore, 19.6 is 24.5% of 80.
Learn more about the percentages here:
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