Answer:
its b lol
Step-by-step explanation:
4n² - 16n - 84 = 0
Multiply both sides by 1/4 :
n² - 4n - 21 = 0
Add 21 to both sides:
n² - 4n = 21
Complete the square by adding 4 to both sides:
n² - 4n + 4 = 25
(n - 2)² = 25
Solve for n :
n - 2 = ± √25
n - 2 = ± 5
n = 2 ± 5
Then n = 2 + 5 = 7 or n = 2 - 5 = -3.
Answer:
25
Step-by-step explanation:
Okay we know the length is 5 inches if this is a square then the width is 5 inches as well. This is because 5 x 5 = 25
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
a. 2x^-3 • 4x^2
To solve this using only positive exponents, follow these steps:
i. Rewrite the expression in a clearer form
2x⁻³ . 4x²
ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.
In our case, the first term has a negative exponent and it is at the numerator. We therefore move it to the denominator and change the negative exponent to positive as follows;
iii. We then solve the result as follows;
=
Therefore, 2x⁻³ . 4x² =
b. 2x^4 • 4x^-3
i. Rewrite as follows;
2x⁴ . 4x⁻³
ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.
iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;
Therefore, 2x⁴ . 4x⁻³ =
c. 2x^3y^-3 • 2x
i. Rewrite as follows;
2x³y⁻³ . 2x
ii. Change position of terms with negative exponents;
iii. Now solve;
Therefore, 2x³y⁻³ . 2x =
The probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.
<h3><u>Probabilities</u></h3>
Since the Better Business Bureau conducts a survey of 30 people who recently hired an attorney, and 17 of them say that they would recommend their attorney to a friend, while 8 say that they would not recommend their attorney to a friend, and the remaining 5 say that they are not sure, and then three people are selected from this group of 30 people at random, to determine what is the probability that A) all three would recommend their attorney to a friend, and B) the first would not, but the second and third would recommend their attorney to a friend, the following calculation must be performed:
A)
- 17/30 x 17/30 x 17/30 = X
- 0.5666 x 0.5666 x 0.5666 = X
- 0.1819 = X
B)
- 8/30 x 17/30 x 17/30 = X
- 0.2666 x 0.5666 x 0.5666 = X
- 0.0856 = X
Therefore, the probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.
Learn more about probabilities in brainly.com/question/24217562
