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nadezda [96]
3 years ago
13

5. If x + x-1 = a, express x2 + 2 + x-2 in terms of a.

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

I suppose the question is, if x+x^{-1}=a, what is x^2+2+x^{-2}?

Recall that (a+b)^2=a^2+2ab+b^2. It follows that for x\neq0,

x^2+2+x^{-2}=x^2+2xx^{-1}+(x^{-1})^2=(x+x^{-1})^2=\boxed{a^2}

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podryga [215]
300 dollars would be the independent variable and 50 dollars a week is dependent
7 0
3 years ago
Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apple
Aleksandr-060686 [28]

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

3 0
3 years ago
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. How much will he e
Snezhnost [94]

Answer:

Step-by-step explanation:

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be

8.2x + 7.7y

Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is

(8.2 × 3) + (7.7 × 7)

= 24.8 + 53.9

= $78.7

4 0
3 years ago
Subtract 6x^2-x+3 from 8x^2-7x-2​
daser333 [38]

Answer:

Step-by-step explanation:

1) translate the given informations in a operation

8x^2 -7x - 2 - (6x^2-x+3)

2) change the sign of all the terms in the bracket

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3) simplify the expression

2x^2 - 6x -5

3 0
3 years ago
Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.
Katen [24]

Answer:

yes that is right

Step-by-step explanation:

7 0
3 years ago
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