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Burka [1]
4 years ago
7

Find the difference quotient please

Mathematics
1 answer:
vodka [1.7K]4 years ago
4 0
Given:
f(x) =  \frac{x}{x+6}

Answers:
f(a) =  \frac{a}{a+6}
f(a+h) =  \frac{a+h}{a+h+6}
\frac{f(a+h)-f(a)}{h} = \frac{6}{(a+h+6)(a+6)}

Explanation:
f(a+h)-f(a) =  \frac{(a+h)(a+6)-a(a+h+6)}{(a+h+6)(a+h)} \\ = \frac{a^{2}+6a+ah+6h-(a^{2}+ah+6a)}{(a+h+6)(a+6)} \\= \frac{6h}{(a+h+6)(a+6)}
\frac{f(a+h)-f(a)}{h} = \frac{6}{(a+h+6)(a+6)}



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4 years ago
Simplify: 3(2x-y)-(5x+4y-2) <br>Please show steps
il63 [147K]

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand  

( 2 x + y ) (3 x − 4 y )

using the FOIL Method.

Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )

Apply the distributive property.

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7 0
3 years ago
Read 2 more answers
Lee worked a total of 30 hours at two jobs last week her combined pay from the jobs was $240 she earned $9 per hour working at t
Sonja [21]

Answer:she spent 10 hours working in her aunt's store last week.

Step-by-step explanation:

Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

3 0
3 years ago
What is the value of p?
Alex777 [14]
The answer is since the the angle on the inside of the triangle is 90 degrees by supplementary angles and the other angle that is not p is 47 degree, also by supplementary angles. Thus you take 90+47=137 and subtract it from 180 since that is is the total angle sum of a triangle and you get 43 degrees or answer b
6 0
3 years ago
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4. Ronnie has an after-school job at an animal shelter. She notices that at one meal, 3
Wittaler [7]

Answer:

1

Step-by-step explanation:

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5 0
3 years ago
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