4(x - 4) + 65 = -3x
4(x) - 4(4) + 65 = -3x
4x - 16 + 65 = -3x
4x + 49 = -3x
- 4x - 4x
49 = -7x
-7 -7
-7 = x
Answer:
Step-by-step explanation:
Area of a circle with radius :
Circumference of a sector with radius :
Area of sector with angle : .
Arc length of sector with angle :
Using these equations, we get the following information:
Area of circle:
Circumference of a circle:
Area of sector:
Arc length of sector:
Answer:
Step-by-step explanation:
We know the definition of both functions: , and
A) In order to evaluate what , let's first investigate what g(-1) is using the definition for this function:
Now let's find what f(2) is using f(x) definition:
B) In order to evaluate what , let's first investigate what f(3) is using the definition for this function:
Now let's find what g(7) is using the definition for this function:
Answer: y = 3 (x -4)^3
Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3
Answer:
When you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3.
Step-by-step explanation:
The given function is .
So, for real zeros and x-intercept, the y-coordinate must be equal to zero.
Then it becomes
⇒ x - 2 = 1 {Since log 1 = 0}
⇒ x = 3
Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)