Answer:
Step-by-step explanation:
Since r=2 and |r|>1 the sum does not converge to any value. The sum does not exist for this infinite geometric series.
The difference quotient for the function f(x) is ![h+2x-7](https://tex.z-dn.net/?f=h%2B2x-7)
Given :
Difference quotient formula
![\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28f%5Cleft%28x%2Bh%5Cright%29-f%5Cleft%28x%5Cright%29%5Cright%29%7D%7Bh%7D)
Given function ![f(x) = x^2 - 7x + 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-%207x%20%2B%208)
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](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-%207x%20%2B%208%20%5C%5Cf%28x%2Bh%29%3D%5Cmathrm%7B%20%7D%5Cleft%28x%2Bh%5Cright%29%5E2-7%5Cleft%28x%2Bh%5Cright%29%2B8%5C%5CExpand%20%5C%3B%20and%20%5C%3B%20simplify%5C%5Cf%28x%2Bh%29%3Dx%5E2%2B2xh%2Bh%5E2-7%5Cleft%28x%2Bh%5Cright%29%2B8%5C%5Cf%28x%2Bh%29%3Dx%5E2%2B2xh%2Bh%5E2-7x-7h%2B8)
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](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28f%5Cleft%28x%2Bh%5Cright%29-f%5Cleft%28x%5Cright%29%5Cright%29%7D%7Bh%7D%5C%5C%20%5Cfrac%7Bx%5E2%2B2xh%2Bh%5E2-7x-7h%2B8-%28x%5E2%20-%207x%20%2B%208%29%7D%7Bh%7D%20%5C%5C%5Cfrac%7Bx%5E2%2B2xh%2Bh%5E2-7x-7h%2B8-x%5E2%20%2B%207x%20-%208%7D%7Bh%7D%20%5C%5C%5C%5C%5Cfrac%7Bh%5E2%2B2xh-7h%7D%7Bh%7D%5C%5Cfactor%20%5C%3B%20out%20%5C%3B%20h%5C%5C%5Cfrac%7Bh%5Cleft%28h%2B2x-7%5Cright%29%7D%7Bh%7D%5C%5Ch%2B2x-7)
Learn more :brainly.com/question/23630564
Minus the 7
-2x = -6
Divide by -2
X = 3
Answer:
32 divided by 6.79 is 4.71281296024
Step-by-step explanation:
Brainliest please?
Answer:
$92.82
Step-by-step explanation:
Given data
Original price= $123.75
Discount = 25%
Let us find the amount of the discount
= 25/100*123.75
= 0.25*123.75
=$30.93
Hence the cost of the shoe is
=123.75-30.93
=$92.82