Evaluate: x + (x2 - xy) - y if x = 5 and y = 4

Mathematics

2 answers:

KengaRu [80]2 years ago

5 0

The answer to this is -9

ASHA 777 [7]2 years ago

3 0

X + (x2 - xy) - y

5 + (5(2) - 5(4) - 4

15 - 20 - 4

= -9

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

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An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
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The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

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