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Ierofanga [76]
3 years ago
14

What is the value of 9a + 6b?​

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

i) 3a+2b=9     /*3

9a+6b=27

ii) 8x+6y=60   /: 2

4x+3y=30

Pachacha [2.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

9a + 6b = 3      [/3

3a + 2b = 1     [*5

15a + 10b = 5

 

25a + 35b = 5    [/5

5a + 7b = 1    [*3

15a + 21b = 3

 

Now they both have 15a in them, we can take one from the other

 

  15a + 21b = 3

-  15a + 10b = 5

----------------------

           11b = -2

             b = -2/11

 

Now find what a is by substituting in the value of b:

 

9a + 6b = 3

9a = 3 - 6b

a = (1 - 2b) / 3         , b = -2/11

a = (1 - 2(-2/11))/3

a = (1+4/11)/3 = (15/11)/3 = 5/11

a = 5/11

 

To check our anwsers, substitute in the values for a and b

9a + 6b = 3

9*5/11 + 6*-2/11 = 3, good

25a + 35b = 5

25*5/11 + 35*-2/11 = 5, good

all correct. so the solutions are:

a = 5/11

b = -2/11

Hopes this helps!!

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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

6 0
3 years ago
a one year subscription to the monthly magazine cost $ 15.60. The regular newsstand price is 1.95 per issue. How many is saved p
yarga [219]

Answer: $0.65

Step-by-step explanation:

Amount for the magazine in a regular newsstand for one year:

1.95*12=$23.4

Amount saved per issue with subscription:

(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription

3 0
3 years ago
The range of a relation is (1 point)
postnew [5]
Hi there!

The answer is:
The range of a relation is the output (y) values of the relation. The range represents the set of the y-coordinates from the ordered pairs.

~ Hope this helps you!
3 0
3 years ago
Help please!!
klemol [59]
Looks like choice B would be the best description of an output.. Usually, output refers to the dependent value of a function rule.  It is also correct that the y coordinate of ordered pairs, graphed points, and in a function table.
7 0
3 years ago
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vitfil [10]

Answer:

68

Step-by-step explanation:

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3 years ago
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