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Nadusha1986 [10]
3 years ago
11

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

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Alenkasestr [34]

Answer:

16

Step-by-step explanation:

Write the expression in algebraic form:

3x² + 4y²

Notice we only have variables "x" and "y".

Given these variables: x = 2, y = 1, and z = –3      

We can <u>ignore "z"</u> because the variable is not in the equation.

<u>Substitute</u> x = 2 and y = 1 in the expression. In other words, replace "x" and "y" with the numbers they give you.

3x² + 4y²

= 3(2)² + 4(1)²        

Then, simplify the expression. Remember to follow <u>BEDMAS order</u> (brackets, <u>exponents</u>, division and <u>multiplication</u>, <u>addition</u> and subtraction).

= 3(2)² + 4(1)²      Solve exponents first

= 3(4) + 4(1)         Solve multiplication

= 12 + 4               Solve addition

= 16                     Answer

The value of 3 x squared plus 4 y squared is 16, if x = 2, y = 1, and z = -3.

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3 years ago
A $1,200 computer is losing value at a rate of 22% per year; 2 years​
zalisa [80]

Answer:

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3 years ago
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IgorC [24]

Answer:

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Step-by-step explanation:

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The answer would be 2=2, but the real answer would be "infinitely many solutions."

If your teacher thinks this is wrong, I don't know what else. I could be wrong but really, I don't care.

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