Answer:

Step-by-step explanation:
We are given:

Factor:

Difference of Two Squares:

Zero Product Property:

Solve:

Take the square root. Since we are taking an even-root, it requires plus/minus:

Answer:
Step-by-step explanation:
9(9m+3t) = 9 *9m + 9*3t
= 81m + 27t
The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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For this case we must find the value of n of the following equation:

Taking common factor "n" from the left side of the equation we have:

Multiplying by 5 on both sides of the equation:

Dividing between 6 on both sides of the equation:

Thus, the value of n is 20.
Answer:

Answer:
Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2
2x^2 + 3x - 20 = 0
(x + 4)(2x - 5) = 0
Solution:
x = -4
x = 5/2