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Nadya [2.5K]
3 years ago
12

Factorise the following.​

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

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Four times Joe’s age plus 2 times Tim’s ageequals 50. Tim’s age is also 2 less than Joe’s age.How old is Joe?
Fed [463]

Answer:

Joe is 9 years old

Step-by-step explanation:

We can start by creating two different equations, one for each fact that we know about their ages.

Say that J is Joe's age

Say that T is Tim's age

Our first equation would then be:

4J + 2T = 50

J - 2 = T

Now that we know that T is J - 2, we can plug that in to the first equation.

4J + 2(J - 2) = 50

We can simplify this equation to solve for J

4J + 2J - 4 = 50

6J = 54

J = 9

Joe is 9 years old

7 0
3 years ago
Wich has lesser value 1/4 or 4-2
podryga [215]

Answer:

1/4

Step-by-step explanation:

4 0
3 years ago
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a person's rectangular dog pen for his dog must have an area of 300 square feet also the length must be 40 feet longer than the
Tema [17]
The with should be 7.5 feet
4 0
3 years ago
I made a punch with 3 parts ginger ale to 2 parts HI-C. I need 20oz. of punch. How much HI-C do I need?
Lapatulllka [165]

You need 20 oz. of punch with 3 parts ginger ale and 2 parts HI-C. So the end result will have 5 parts. To find out how many ounces are in each part, just divide the total (20) by the number of parts (5):

20 / 5 = 4

There will be 4 ounces per part.

First, solve for the amount of ginger ale. The problem says the punch is 3 parts ginger ale, so just multiply the number of parts by the amount in each part:

(3)(4) = 12

The punch will have 12 ounces of ginger ale.

Next, solve for the amount of HI-C. The problem says the punch is 2 parts HI-C, so just multiply the number of parts by the amount in each part:

(2)(4) = 8

The punch will have 8 ounces of HI-C.

Hope this helps!

3 0
3 years ago
Avis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus f
pishuonlain [190]

Answer:

Avis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (round-trip) is 20 minutes.

a. How many Avis buses are traveling to and from the airport?

b. The branch manager wants to improve the service and suggests dispatching buses every 0.5 minutes. She argues that this will reduce the average traveling time from the airport to Avis offices to 2.5 minutes. Is she correct? If your answer is negative, then what will the average traveling time be?

The answers to the question are

a. 10 buses

b. Yes, increasing the fleet by a factor of 4 will reduce the apparent average travel time from the airport to Avid offices from 10 minutes to 2.5 minutes

Step-by-step explanation:

Number of buses dispatched every 20 minutes= 20÷2=10

Therefore 10 Avid buses are travelling to and from the Los Angeles airport

b. By dispatching every 0.5 minutes we have 20÷0.5 = 40 buses.

Since with 10 buses it takes 10 minutes to make the journey from the airport to Avid offices, then it would take 40 buses 10÷4 = 2.5 minutes time to deliver what it took 10 buses, 10 minutes to deliver.

4 0
4 years ago
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