Answer:
x - 3 < -5 is the inequality x < -2 is the solution
Step-by-step explanation:
x - 3 < -5
add 3
x < -2
To solve this equation, we need to subtract both, 9c - 3c:
Dividing by 6 at both sides of the equation
Then
Then the answer C = 8. (Option D)
X² = 17
To simplify this, you need to find the square root of x², which is x, and the square root of 17.
x = √17
Also remember that when you are using square root, the answer can be either positive or negative.
x = +/-√17 ≈ +/- 4.12
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
12,599.1
Step-by-step explanation:
13,999 * 0.9 = 12,599.1
