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Ipatiy [6.2K]
3 years ago
12

2x + 3y = 12 complete the missing value in the solution to the equation. (blank,8)​

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

x - x=\frac{-3}{2} y+6

y - y=\frac{-2}{3} x+4

Step-by-step explanation:

Let's solve for x first.

Add -3y to both sides..

2x+3y-3y=12+-3y

2x=-3y+12

Divide both sides by 2..

\frac{2x}{2} =\frac{-3y+12}{2}

Your answer for x:

x=\frac{-3}{2} y+6

Then, solve for y.

Add -2x to both sides..

2x+3y+-2x=12+-2x

3y=-2x+12

Divide both sides by 3..

\frac{3y}{3}= \frac{-2x+12}{3}

Your answer for y:

y=\frac{-2}{3} x+4

jenyasd209 [6]3 years ago
6 0

⭐Hola User____________

⭐Here is Your Answer...!!

___________________

↪LINEAR EQUATIONS..

↪Since the equation given is

↪2x + 3y = 12

↪and the point given is (_,8)

to find the coordinate X or the abssicssa

↪we substitute the value of y = 8

↪therefore. ,, 2x +3 (8) =12

↪=》 2x + 24 = 12 =》 2x = 12-24 =》 2x = -12 =》 x = -6

↪thus , X = -6

↪points = ( -6 ,8)

______________________

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What is the tenth term in the sequence 9, 13, 17, 21, 25…?
Zinaida [17]

Answer:

45

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

a1 = 9

The formula is

an = a1+d(n-1) where n is the term number

an = 9+4(n-1)

We want the 10th term

a10 = 9+4(10-1)

     = 9+4(9)

    = 9+36

   = 45

6 0
2 years ago
Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&T building which is
Morgarella [4.7K]

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

5 0
2 years ago
Write your answers in the spaces provided.
Fantom [35]

Answer:

Yes adam is correct, because from January to June the cars sold are more and increased

while the mean is the addition of all the cars sold in(Numbers) the six month and divided by six(6) month

3 0
3 years ago
Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?
sleet_krkn [62]
Start by finding out how many books per shelf. So divide 48 by 6, which would mean 8 books per shelf.
Multiply this by 12 shelves, which gives you 96 books.
Hope this helps!!
6 0
3 years ago
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