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OLEGan [10]
3 years ago
13

Find the HCF a²b²b^4, ab²- b³ and ab(a-b)^4​

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

Now,a

2

b

2

−ab

2

=ab

2

(a−b)

and

ab

2

−b

3

=b

2

(a−b)

Therefore,therequiredhcfbe

=b

2

(a−b)

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Step-by-step explanation:

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The charge to rent a trailer is $20 for up to 2 hours plus $8 per additional hour or portion of an hour. Find the cost to rent a
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Answer:

The cost to rent a trailer for 2.9 ​hours is $27.2.

The cost to rent a trailer for 3 ​hours is $28.

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Step-by-step explanation:

It is given that the charge to rent a trailer is $20 for up to 2 hours plus $8 per additional hour or portion of an hour.

Let x be the number of hours.

The cost to rent a trailer for x ​hours is defined as

C(x)=\begin{cases}20 & \text{ if } x\leq 2 \\ 20+8(x-2) & \text{ if } x>2 \end{cases}

For x>2,

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Substitute x=2.9 in the cost function.

C(x)=20+8(2.9-2)=27.2

The cost to rent a trailer for 2.9 ​hours is $27.2.

Substitute x=3 in the cost function.

C(x)=20+8(3-2)=28

The cost to rent a trailer for 3 ​hours is $28.

Substitute x=8.5 in the cost function.

C(x)=20+8(8.5-2)=72

The cost to rent a trailer for 8.5 ​hours is $72.

Substitute x=9 in the cost function.

C(x)=20+8(9-2)=76

The cost to rent a trailer for 9 ​hours is $76.

All ordered​ pairs, in the form of (hours,​ cost) are (2.9, 27.2), (3,28), (8.5, 72) and (9,76).

The graph of all ordered​ pairs is shown below.

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