Answer:
1/2
Step-by-step explanation:
16,8,4,2
it is decreasing by 2 each time
or we can call it multiplying by 1/2
16* 1/2 = 8
8* 1/2 = 4
4* 1/2 =2
Answer:
m= 11/2
Step-by-step explanation:
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
9514 1404 393
Answer:
J p = 8t +12
Step-by-step explanation:
You can see that the p-values have differences of 8, while the t values have differences of 1. That means the "rate of change" is 8/1 = 8. This will be the coefficient of t in the equation you're looking for.
Only one answer choice has 8t as part of the equation:
p = 8t +12
______
<em>Additional comment</em>
If you decide to try the values of t in the offered choices, it often works to start with the second value of t. The answer choices are sometimes tailored to match for the first value in the table. Usually the second value of t will quickly identify the correct one.
For t=2, ...
F: p = 20·2 = 40 ≠ 28
G: p = 11·2 = 22 ≠ 28
H: p = 20·2 +12 = 52 ≠ 28
J: p = 8·2 +12 = 28 . . . . the correct choice
Distance formula: d= square root of (x2-x1)^2+(y2-y1)^2
(3,5) (7,3)
d= square root of (7-3)^2+(3-5)^2
d= square root of (4^2)+(-2^2)
d= square root of 16+4
d= square root of 20
d=4.47...rounded= 4.5
Hope this helped!
