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spayn [35]
3 years ago
13

(-5,3);5×=4y+9 can you help me solve ​

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

-25 ≠ 21

Step-by-step explanation:

it looks like the question is asking you to solve 5x=4y+9 when given the ordered pair (-5,3)

you would substitute -5 for x and 3 for y in the equation

5(-5) = 4(3) + 9

-25 = 12 + 9

-25 = 21

the question is asking you to see if the left side is equal to the right side of the equation

-25 is not equal to 21, therefore (-5,3) is not a solution to the equation

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Answer: The fourth term is -102

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

Explanation:

The term after the nth term is generated by this rule  a_{n+1} = -4(a_n) + 2 which means that we first
Step 1) multiply the nth term ( a_n ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is a_1 = 2. In short, the first term is 2

The second term is...
a_{n+1} = -4(a_n) + 2
a_{1+1} = -4(a_1) + 2
a_{2} = -4(2) + 2
a_{2} = -8 + 2
a_{2} = -6
So the second term is -6

The third term is...
a_{n+1} = -4(a_n) + 2
a_{2+1} = -4(a_2) + 2
a_{3} = -4(-6) + 2
a_{3} = 24 + 2
a_{3} = 26
The third term is 26

Finally, the fourth term is...
a_{n+1} = -4(a_n) + 2
a_{3+1} = -4(a_3) + 2
a_{4} = -4(26) + 2
a_{4} = -104 + 2
a_{4} = -102
The fourth term is -102.
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4 years ago
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