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.
Answer:
The linear equation is;
Y = 450 - 2·X
Please find the included graph
Step-by-step explanation:
Whereby we have the following relation;
The cost of 1 pizza = X
The cost of 1 burger = Y
Hence;
450 = Y + 2·X
Which gives;
Y = 450 - 2·X
The linear equation for the situation is therefore as presented above
The graph of the linear equation can be plotted using the assumed data as follows;
Y, X
1, 448
2, 446
3, 444
4, 442
5, 440
6, 438
7, 436
8, 434
9, 432
10, 430
11, 428
12, 426
13, 424
14, 422
15, 420
16, 418
Answer:
B) Rational, not an integer.
Step-by-step explanation:
The number is a decimal continuing forever; it is predictable. This means that it is Rational. If the number was not repeating then it would be irrational.
The number is not an integer because it is not a whole number; it is a decimal.
Answer:
The 4th option, 10g + 24 = t
Step-by-step explanation:
It costs 24 dollars per month no matter what.
$10 * the amount of GB you want
Add those two values to get the total cost per month.
In this case you want 5 GB, so substitute the g in the equation for 5. You will get:
10 * 5 +24 = t
50 + 24 = t
74 = t
So it costs 74 dollars per month to get 5 GB.
