Hello there! Your answer is 2.
When we are given this problem: x + 3 = 8x - 11 we are solving for the value of X. We want to isolate all like terms on one side of the equation. To do this, let's add 11 to the left side so the - 11 cancels out on the right.
x + 3 + 11 = 8x - 11 + 11 - After this, add like terms. (so 3 + 11 and - 11 + 11)
x + 14 = 8x - Now, negative 11 plus positive 11 have canceled each other out, we have to subtract x from the left side.
x - x + 14 = 8x - x
14 = 7x - Our last step is do divide both sides of the equation by 7 to finish isolating x.
14/7 = 7/7x
2 = x.
This is your final answer!
-3 0 1 I'd the order on the number line
Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
Answer: 
Step-by-step explanation:
- The equation of the line in the slope intercept form is: 
Where m is the slope and b is the y-intercept of the line
- Let's choose two points of the line: (8,-1) and (-4,-4).
- You must calculate the slope of the line as following:
- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.
- Substituting values into the equation of the line, you obtain:
