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Mnenie [13.5K]
3 years ago
11

Find and simplify the difference quotient for the given function

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0
\dfrac{f(x+h)+f(x)}{h}

Replace f(x) and f(x+h) by using the equation given for the problem.

=\dfrac{(2(x+h)^2-(x+h)-1)-(2x^2-x-1)}{h}

Open all parenthesis

= \dfrac{2x^2+4xh+2h^2-x-h-1-2x^2+x+1}{h}

Factor the h

= \dfrac{h(4x+2h-1)+2x^2-2x^2+1-1+x-x}{h}

Other terms not in the parenthesis cancel each other out

\dfrac{h(4x+2h-1)}{h}

Now, simplify

=4x+2h-1
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Hi! Could you help me me out and solve these two problems? "eight less than the product of seven and xxx", and "the sum of six a
Ann [662]

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

a.

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

b.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

3 0
2 years ago
-x + 2y = 6 <br> * finding the slope and y intercept *
Aleonysh [2.5K]

Answer:

3

Step-by-step explanation:


3 0
3 years ago
4x−4y=-2 and −9x−4y ​ =-3 solve by adding please !!!
jeyben [28]
1. Add 4x back into -2, you now have -4y=-4x-2. Add +4 from y and now you are at y=-4x+2 and this is the answer!

2. Add -9x back into -3, you now have -4y=9x-3. Add +4 from y and now you are at y=9x-7 and this is your answer!!

I hope this helped! Brainliest? :) -Raven❤️
7 0
2 years ago
Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.
lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36


4 0
3 years ago
Read 2 more answers
Find the area of the composite figure in terms of pie 3cm Length and 5 cm in width
cluponka [151]
The area will be 15
5 0
3 years ago
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