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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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PLEASEEEEE I NEED IT NOWW!!! ILL MARK BRAINLIEST!!!!
FrozenT [24]

Answer:

First number line

Step-by-step explanation:

-6 means 6 to the left, and subtracting -8 to it means 8 to the right.

7 0
2 years ago
Read 2 more answers
A jet plane traveling at a constant speed goes 1200 mi with the​ wind, then turns around and travels for 1000 mi against the win
givi [52]

Answer:

Avg speed 550 miles per hour

Step-by-step explanation:

with the wind 1200 miles traveling

1200/(550+50) = 2 hours

Against the wind

1000/(550-50) = 2 hours

4 0
3 years ago
The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse
Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: Number of children in the park.
  • Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0
2 years ago
Which simplified fraction is equal to 0.53 with bar?
Oxana [17]

I assume that 0.53 with a bar means the decimal fraction in which 3 is repeating.

24/45, 8/15, and 48/90 all result in the same decimal value. Thus, we are simply looking for the one that is fully simplified.

The correct answer is 8/15.

Hope this helps!

5 0
2 years ago
Wee-Mobile is offering a cell phone family plan for its users. The breakdown of the cost of the plan per month is given below.
Stells [14]

The total cost for a 6-month plan for n lines is represented by the equation:

Cost = 660n + 100

This equation is in the slope intercept form. The coefficient of n represents the slope here.

In the given scenario the slope can be interpreted as the total variable cost for one line for a period of 6 months.

The variable costs are associated with a line are:

1) Unlimited data cost ($40 per month). So for 6 months this cost will be $240

2) Unlimited Call cost ($10 per month). So for 6 months this cost will be $60

3) Unlimited Text Message Cost ($10 per month). For 6 months this cost will be $60.

4) Cost of Phone ($300 per line)

Adding these costs up we get: 240 + 60 + 60 + 300 = $660

Thus, 660 represents the total cost per line for unlimited data, calls, text message and one phone for 6 months. Therefore, option A gives the correct answer.

8 0
3 years ago
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