1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
3 years ago
7

What linear equation is represented by the table 0 -2 1 2 2 6 3 10

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0
I think it is y=4x-2.
You might be interested in
-117/7 divide and simplify
kifflom [539]
117/7 already is in the simplest form. It can be written as 16.714286 in decimal form (rounded to 6 decimal places).
8 0
3 years ago
The sides of a whiteboard are 2 feet by 4 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whi
weeeeeb [17]

Answer:

24

Step-by-step explanation:

the area of white board = (2×12) ×4 = 96 sq in.

the area of post-it = 2×2 = 4 sq in

so, numbers of post-it = 96/4 = 24

5 0
3 years ago
Let $s$ be a subset of $\{1, 2, 3, \dots, 100\}$, containing $50$ elements. how many such sets have the property that every pair
Tamiku [17]

Let A be the set {1, 2, 3, 4, 5, ...., 99, 100}.

The set of Odd numbers O = {1, 3, 5, 7, ...97, 99}, among these the odd primes are :

P={3, 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

we can count that n(O)=50 and n(P)=24.

 

 

Any prime number has a common factor >1 with only multiples of itself.

For example 41 has a common multiple >1 with 41*2=82, 41*3=123, which is out of the list and so on...

For example consider the prime 13, it has common multiples >1 with 26, 39, 52, 65, 78, 91, and 104... which is out of the list.

Similarly, for the smallest odd prime, 3, we see that we are soon out of the list:

3, 3*2=6, 3*3=9, ......3*33=99, 3*34=102.. 

we cannot include any non-multiple of 3 in a list containing 3. We cannot include for example 5, as the greatest common factor of 3 and 5 is 1.

This means that none of the odd numbers can be contained in the described subsets.

 

 

Now consider the remaining 26 odd numbers:

{1, 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, 99}

which can be written in terms of their prime factors as:

{1, 3*3, 3*5, 3*7, 5*5,3*3*3, 3*11,5*7, 3*13, 2*2*3*3, 7*7, 3*17, 5*11 , 3*19,3*21, 5*13, 3*23,3*5*5, 7*11, 3*3*3*3, 5*17, 3*29, 7*13, 3*31, 5*19, 3*3*11}

 

1 certainly cannot be in the sets, as its common factor with any of the other numbers is 1.

3*3 has 3 as its least factor (except 1), so numbers with common factors greater than 1, must be multiples of 3. We already tried and found out that there cannot be produced enough such numbers within the set { 1, 2, 3, ...}

 

3*5: numbers with common factors >1, with 3*5 must be 

either multiples of 3: 3, 3*2, 3*3, ...3*33 (32 of them)

either multiples of 5: 5, 5*2, ...5*20 (19 of them)

or of both : 15, 15*2, 15*3, 15*4, 15*5, 15*6 (6 of them)

 

we may ask "why not add the multiples of 3 and of 5", we have 32+19=51, which seems to work.

The reason is that some of these 32 and 19 are common, so we do not have 51, and more important, some of these numbers do not have a common factor >1:

for example: 3*33 and 5*20

so the largest number we can get is to count the multiples of the smallest factor, which is 3 in our case.

 

By this reasoning, it is clear that we cannot construct a set of 50 elements from {1, 2, 3, ....}  containing any of the above odd numbers, such that the common factor of any 2 elements of this set is >1.

 

What is left, is the very first (and only) obvious set: {2, 4, 6, 8, ...., 48, 50}

 

<span>Answer: only 1: the set {2, 4, 6, …100}</span>

8 0
3 years ago
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to
Maksim231197 [3]

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

<h3>What is the function in this problem?</h3>

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

4 0
2 years ago
Frank, mary and seth shared some sweets in the ratio 4;5;7
Rashid [163]

Answer:

total = 96 sweets

Step-by-step explanation:

sweets shared in the ratio 4 : 5 : 7 = 4x : 5x : 7x ( x is a multiplier )

Seth got 18 more sweets than Frank , that is

7x = 4x + 18 ( subtract 4x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Then

total = 4x + 5x + 7x = 16x = 16 × 6 = 96 sweets

4 0
2 years ago
Other questions:
  • -x/3 &gt;5 the sign is supposed to be greater than or equal to but I don’t have that option
    14·1 answer
  • Marion is observing the launch of a space shuttle from the command center. When she first sees the shuttle, the angle of elevati
    14·1 answer
  • HELP!
    14·2 answers
  • Find the Measurements of the arc or angle indicated.
    9·1 answer
  • If C(x) is the total cost incurred in producing x units of a certain commodity, then the average cost of producing x units of th
    9·1 answer
  • Why is integers Z for NZQR
    7·1 answer
  • Question in picture(explain if u can it helps alot)
    8·2 answers
  • Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
    6·1 answer
  • Match the equation below with the following graph.
    15·1 answer
  • Is this correct pls help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!