The first term of the arithmetic progression exists at 10 and the common difference is 2.
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How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 
5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
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Answer:
B. 3x+5−4x=−(x+8)
Explanation:
3x+5−4x=−(x+8)
Step 1: Simplify both sides of the equation.
3x+5−4x=−(x+8)
3x+5+−4x=−x+−8
(3x+−4x)+(5)=−x−8
−x+5=−x−8
−x+5=−x−8
Step 2: Add x to both sides.
−x+5+x=−x−8+x
5=−8
Step 3: Subtract 5 from both sides.
5−5=−8−5
0=−13
So, there is no solution
Hope this Helps!
Answer:
A card balance is the total amount of money that you currently owe on your credit card. The balance increases when purchases are made and decreases when payments are made. Purchases, balance transfers, foreign exchange, fees, and interest all factor into your credit card balance.
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Answer:
4.98
Step-by-step explanation:
Answer:
y = 55
Step-by-step explanation:
The sum of the angles of a triangle are 180
40 + y+30 + y = 180
Combine like terms
70 +2y = 180
Subtract 70 from each side
2y = 180-70
2y = 110
Divide each side by 2
2y/2 = 110/2
y = 55
