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MariettaO [177]
3 years ago
14

Ace Truck leases its 10-ft box truck at $30/day and $0.50/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi.

Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

Ace Truck

C(m) = 30 + 0.5*m

Acme Truck

C(m) = 25 + 0.55*m

Step-by-step explanation:

The cost function to lease a box truck from a company has the following format:

C(m) = F + a*m

In which F is the fixed cost and a is the cost per mile m.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven.

Ace Truck

$30/day and $0.50/mi. This means that F = 30, a = 0.50. So

C(m) = 30 + 0.5*m

Acme Truck

$25/day and $0.55/mi. This means that F = 25 a = 0.55. So

C(m) = 25 + 0.55*m

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vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

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2x^4-32=2(x^4-16)

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=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

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=2(x^2+2^2)(x^2-2^2)

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The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

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Option b) is correct.

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