Answer: The answers are
(i) The local maximum and local minimum always occur at a turning point.
(iii) The ends of an even-degree polynomial either both approach positive infinity or both approach negative infinity.
Step-by-step explanation: We are given three statements and we are to check which of these are true about the graphs of polynomial functions.
In the attached figure (A), the graph of the polynomial function 
is drawn. We can see that the local maximum occurs at the turning point P and local minimum occurs at the turning point Q. Also, the local maximum is not equal to the x-value of the coordinate at that point
Thus, the first statement is true. and second statement is false.
Again, in the attached figure (B), the graph of the even degree polynomial 
is drawn. We can see that both the ends approaches to positive infinity and in case of 
, both the ends approch to negative infinity.
Thus, the third statement is true.
Hence, the correct statements are first and third.
Answer:x=−24/11
Step-by-step explanation:
Simplifies to:
x−86x=79
Let's solve your equation step-by-step.
x−86x=79
Step 1: Cross-multiply.
x−86x=79
(x−8)*(9)=7*6x
9x−72=42x
Step 2: Subtract 42x from both sides.
9x−72−42x=42x−42x
−33x−72=0
Step 3: Add 72 to both sides.
−33x−72+72=0+72
−33x=72
Step 4: Divide both sides by -33.
−33x−33=72−33
x=−2411
737 rounded to the nearest hundred is 700, because 37 is smaller than 50, if the number was 768, it would be 800.
The volume of a cube can be expressed as
Let V = volume
Let a = side length
V = a^3
We need to solve the formula to isolate the variable a. First, we must cube root each side.
∛(V) = a. With our new formula, we plug in 64 cube inches into V.
∛(64) = a.
4 = a.
The length of one side on our cube is 4 inches.
