Technically speaking, the answer is 5 because of where the curves are located.
Never mind my speech, just look at the graph, the answer is 5.
Answer:

Step-by-step explanation:
1- Identify the x and the y
x1= -2
x2=2
y1= 2
y2= -1
2-
2- solve the equation:
d=
(2-(-2))
+ ((-1)-2)
d=
(4)
+ (-3)
=
16 + 9
=
25
d=5 answer
Answer:
60
Step-by-step explanation:
rate of change of graph,df(x)/dx
=(120-0)/(3-1)=60
The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,

Step 2:
Second step is equating the exponents
The rule used is:

So in this case

So the solution is:
k=2/3 ..