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igor_vitrenko [27]
4 years ago
10

Please Help! First answer will be marked as Brainliest The table compares the height of a table and the height of the chairs (bo

th in centimeters) in several different kitchen sets at a furniture store. Can the height of the chairs be represented as a function of the height of the table? Table (centimeters) Chairs (centimeters) 75 46 74 44 76 47 75 46 72 43 77 48 76 47 71 42 Choose 1 answer: Yes No
Mathematics
2 answers:
Marta_Voda [28]4 years ago
8 0

Answer:

YES

Step-by-step explanation:

let's organize our information :

  • We notice that the values of the height of the table are changing  as the height of the chais is changing
  • 75⇒46
  • 74⇒44
  • 76⇒47
  • 75⇒46
  • 72⇒43
  • 77⇒48
  • 76⇒47
  • 71⇒42

Notice how when the chair's height is growing by 1 the same happens for the tables

  • so they are proprtional
  • we can say tha x is the height of table is x and the height of the chais is y
  • x=71 y=42   x=72 y=43
  • when we added 1 to x the same happened for y x+1⇒y+1
  • notice : 71-42=29 , 72-43=29 so x-y= 29
  • then x=y+29
kakasveta [241]4 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

If you write out the coordinates, you can see that you can do the Vertical Line Test and confirm that if you were to write a function, it would be an actual function. No 2 x-values can be the same y-values. The coordinates all have separate xy values (or the same exact xy values) and you can determine a function.

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erma4kov [3.2K]
The answer is five 5
6 0
3 years ago
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Four times the larger of two numbers is equal to seven times the smaller. the sum of the numbers is 22. what are the numbers?
Goshia [24]
Answer:

The larger is 14 the smaller is 8

Explanation:

Let the larger number be L and the smaller be S
So we know that

1) L+S=22
And
2)4L=7S
From equation 1) we get L=22-S

Substitute this into equation 2) to get 4(22-S)=7S
88-4S=7S
88=11S
S=8. The smaller number is 8

As they total 22 the larger number is 14.
Check: 4x14=7x8. Yes

Solution 2:

Let x= larger number
And let y= smaller. umber

Now we are told that:
4x=7y--------eq1
We are also told that:
x + y=22-----eq2

Substitution method looks easier.


From eq1 x=(7/4)y. Substitute this into eq2
(7 /4)y +y=22
(7/4)y+(4/4)y=22
(11/4)y=22 multiply each side by 4
11y=88
y=8

From eq2, x+8=22
x=14
<span> </span>

<span>Hope this helps</span>

6 0
3 years ago
9. Michelle likes chocolate but it causes acne. She chooses to limit herself to three chocolate bars every 5 days. (So, she eats
OverLord2011 [107]

Answer:

Arithmetic

An = A[n - 1] + 3/5

An = 3/5[n]

Step-by-step explanation:

Number of days = 5

Number of chocolate = 3

Computation:

Recursive:

Number of chocolate eat per day = 3/5

So,

First term a1 = 3/5

So,

An = A[n - 1] + 3/5

Explicit:​

An = 3/5 + 3/5[n-1]

An = 3/5[n]

4 0
3 years ago
1)The range of the following relation: R {(3, -5), (1, 2), (-1, -4), (-1, 2)} is
kykrilka [37]
A relation is a set of ordered pairs (x, y).

The set of all first coordinates, that is of all x'es, is the Domain of the relation.

The set of all the second coordinates is the Range of the relation.

1) 

Domain : {-1, 1, 3},  Range: {-5, -4, 2}

2)

Domain : {-1, 1, 3},   Range: {-4, -2, 2}

 
Answer: 1) {-5, -4, 2},                2)  {-1, 1, 3}

Remark: Each number is written only once in the Domain and Range set.


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