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AVprozaik [17]
3 years ago
7

Evaluate f(a + h) − f(a) for the quadratic function f(x) = x2 + 5. f(a + h) − f(a)

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0
f(x)=x^2+5\\\\f(a+h)=(a+h)^2+5=a^2+2ah+h^2+5\\\\f(a)=a^2+5\\\\f(a+h)-f(a)=(a^2+2ah+h^2+5)-(a^2+5)=a^2+2ah+h^2-a^2-5=2ah+h^2
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Word Problems:
vaieri [72.5K]

Answer:

Andy's Rental Car: f(x)= 20 + (30x)

Buddy's Rental Car: f(x) 36 + (28x)

Step-by-step explanation:

First, identify what you know:

1) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car.

2) Buddy's Rental Car charges an initial fee of $36 plus an additional $28 a day!

So, which rental car company has the better deal? Imagine you want to rent a car for ten days, which would you choose?

First, create an equation for each:

Andy's Rental Car: f(x)= 20 + (30x)

The x represents the number of days the car is rented. Multiple the days by the $30 day charge, and add it to the initial rental charge.

Buddy's Rental Car: f(x) 36 + (28x)

The x represents the number of days the car is rented. Multiple the days by the $28 day charge, and add it to the initial rental charge.

Now, input 10, for the number of days you want to rent the car for!

Andy's Rental Car: f(10)= 20 + (30 x 10)

20 + (300)

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Buddy's Rental Car: f(10) = 36 + (28 x 10)

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So, it would be $4 cheaper to rent from Buddy's Rental Car company than Andy's Rental Car company!

Hope this helps! :)

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The answer is all real numbers for x

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