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MA_775_DIABLO [31]
2 years ago
11

For the function f given by f(x)=2x-3, find and simplify the difference quotient f (x + h) − f (x) h​

Mathematics
1 answer:
Ber [7]2 years ago
7 0

\text{Given that,}~ f(x) = 2x-3\\\\\text{Now,}\\\\~~\dfrac{f(x+h)-f(x)}{h}\\\\\\=\dfrac{2(x+h)  -3  - (2x-3)}{h}\\\\\\=\dfrac{2x+2h-3 -2x +3 }{h}\\\\\\=\dfrac{2h}{h}\\\\\\=2

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Trent is fishing from a pier. ●The tip of his fishing rod is 53 ¾ feet above the surface of the water. ●The hook on the end of t
iris [78.8K]
I would say yes and no because estimations aren't exact, they're close to the correct value. Trent's estimation is correct since 53+12=65, if we were looking for the exact distance, Trent would be wrong because there are fractions too, so the exact value would be 66 (5/12) or 65 (17/12).

Hope this helped :)
6 0
3 years ago
Please help me I will give you extra points and whoever the first one to answer I mark you with the brain thing. 6
Natali5045456 [20]

Answer:

c.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the outer diameter <br>​
Minchanka [31]
Outer diameter= 1/36*2+1/6
= 8/36
= 1/4 is the outer diameter, NOT 1/3 (sorry I had answered this question earlier)
4 0
3 years ago
Robert earns $512.75 less than the salary earned by Noel. John earns three times Robert's salary. If the total salary earned by
MrMuchimi

Answer:

$9426.50

Step-by-step explanation:

let noel's salary = x, robert's salary = y and john's salary = z

y = x - 512.75 ..........(1)

z = 3y = 3(x - 512.75) = 3x - 1538.25 ...............(2)

x + y + z = 47645.25..........................(3)

substitute for y and z

x + (x - 512.75) + (3x - 1538.25) = 47645.25

x + x - 512.75 + 3x - 1538.25 = 47645.25

5x = 47645.75 + 512.75 + 1538.25

5x = 49696.25

divide both sides by 5

x = 9939.25 ..... noel's salary

to get robert's salary substitute x in equation 1

y = 9939.25 - 512.75 = 9426.50

y = $9426.50..... robert's salary

6 0
3 years ago
A rectangle is 5 times as longer than it is wide. Its width is three-sixteenths of its perimeter. Find its perimeter.
VikaD [51]
Length = 5x
width = x
area = 125
A = L*W
125 = (5x)(x)
125 = 5x^2
125/5 = x^2
25 = x^2
sqrt{25} = sqrt{x^2}
5 = x
The width is 5 feet.
The length is 5 times 5 feet or 25 feet.
To find the perimeter, we use P = 2L + 2W.
P = 2(25) + 2(5)
P = 50 + 10
P = 60 feet.
Done!
4 0
3 years ago
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