1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Temka [501]
3 years ago
9

Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -

7x + 8 f(x+h)-f(x) h​
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

The difference quotient for the function f(x) is h+2x-7

Given :

Difference quotient formula

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}

Given function f(x) = x^2 - 7x + 8

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8

Now replace it in our formula and also replace f(x)

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7

Learn more :brainly.com/question/23630564

You might be interested in
A Square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches.The area of the result
LekaFEV [45]

Let s represent the length of any one side of the original square.  The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.

The area of this rectangle is (s+9)(s-2) = 60 in^2.

This is a quadratic equation and can be solved using various methods.  Let's rewrite this equation in standard form:  s^2 + 7s - 18 = 60, or:

s^2 + 7s - 78 = 0.  This factors as follows:  (s+13)(s-6)=0, so that s = -13 and s= 6.  Discard s = -13, since the side length cannot be negative.  Then s = 6, and the area of the original square was 36 in^2.

4 0
3 years ago
Pick three numbers and make a fact family. <br><br> 4, 5 <br><br> 2, 1
Cloud [144]
That’s a very good question but i don’t know the answer however it may be animals
3 0
3 years ago
I NEED HELP WITH THIS PLEASE
11Alexandr11 [23.1K]

Answer:

Perimeter = Side1 + Side2 + Side3

4x + 3y = 5x - 3y + x + 4y + Side3

4x + 3y = 6x + y + Side3

-2x + 2y = y + Side3

Step-by-step explanation:

I WISH IT COULD HELP

8 0
3 years ago
A store and a bank would both charge fees for _____.
AysviL [449]
Taxes  you have to pay extra because of taxes
8 0
3 years ago
What is the equation of the line that passes through the points (1, 1) and (7, -5)?
xxTIMURxx [149]

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

6 0
2 years ago
Other questions:
  • Find the mean of the data. give your answer in decimal form
    11·1 answer
  • Can someone explain how to get the answer,<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B105%7D%7B2%7D%20" id="TexFormula1"
    9·2 answers
  • Caleb’s parents drove him to a swimming meet 208 km away. It took them 2 hours, which includes a 15-minute break to refuel. What
    6·1 answer
  • How is the converse formed
    9·1 answer
  • What is the interquartile range of the following data set?
    10·1 answer
  • Chipper ran 1 mile in 8 minutes. How long would it take him to run 5 miles?
    15·1 answer
  • What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?
    6·2 answers
  • In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population stand
    15·1 answer
  • A
    15·1 answer
  • One of the legs of a right triangle measures 10 cm and the other leg measures 7 cm.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!