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Free_Kalibri [48]
2 years ago
11

P(t) = t^2- t; Find p(6)

Mathematics
2 answers:
Mars2501 [29]2 years ago
4 0

Answer:

P(t)=30

Step-by-step explanation:

Plug in t=6 into the equation: P(t)=t^2-t

So P(t)= (6)^2-6

P(t)=36-6

P(t)=30

sammy [17]2 years ago
4 0

Answer:

30

Step-by-step explanation:

p(t)= (6)^2 - (6)

=36 - 6

=30

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Let FS R be a finite set. (a) Prove that F is closed (b) Prove that every point in F is an isolated point.
Lorico [155]

Answer:

a) Suppose that F is ordered in ascending order: F = \{x_1,\ldots, x_n\}. Then, the complement of F can be written as

F^c = (-\infty,x_1)\cup (x_1,x_2)\cup (x_2,x_3)\cup \cdots \cup (x_{n-1}, x_{n})\cup (x_n,+\infty)

which is the union of a finite number of open intervals, then F^c is an open set. Thus, F is a closed subset of the real numbers.

b) Take an arbitrary element of F, let us say x_k. Now, choose a real number \epsilon such that

0 there are not other element of F, because \epsilon is less that the minimum distance between x_k and its neighbors.

In case that k=1 we only consider 0, and if k=n we only consider 0.

Then, all points of F are isolated.

Step-by-step explanation:

8 0
3 years ago
Which expression is<br> equivalent to -3(4 - 6x)?<br><br><br> show steps please
Ket [755]

Answer:

-3(4 - 6x)

-12 +18x

=18x - 12

Step-by-step explanation:

You multiple the negative 3 with positive 4 to get negative 12.

An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer

5 0
3 years ago
1/4-5/8n is equivalent to p(2-5n)​
hodyreva [135]

Answer:

1/4 - 5/8n = p ( 2- 5n

4 0
2 years ago
In which place is the digit in the number 5,341 that would be changed to form 5,841? How do the values of the two numbers compar
Colt1911 [192]
We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.

Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8  to form the number 5,841.

This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.

Subtraction of 5,341 from 5,841 also yields 500.

Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.

3 0
3 years ago
The cost of a pen is 3 times the cost of a pencil and cost of a
valentinak56 [21]

Answer:

1 Pen cost $2.25

Step-by-step explanation:

Assume:

Cost of Pen = a

Cost of pencil = b

Cost of notebook = c

a = 3b   -------------------(1)

c = 4a   -------------------(2)

2a + 6b + c = $18 -----(3)

From equation (1), b = a ÷ 3 ---------(4)

Substitute equations (2) and (4) in equation (3)

2a + 6 * (a ÷ 3) + 4a = $18

2a + 2a + 4a = $18

8a = $18

a = $2.25

Therefore, 1 Pen cost $2.25

6 0
3 years ago
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