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Travka [436]
3 years ago
6

Given: F(x) = 2x + 3, find (f(x+h)-f(x))/h and simplify.

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0

Answer:

2

Step-by-step explanation:

we have

f(x)=2x+3

To obtain f(x+h) substitute the variable x by (x+h) in f(x)

so

f(x+h)=2(x+h)+3

Simplify

f(x+h)=2x+2h+3

Determine

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

substitutes the values

\frac{(2x+2h+3)-(2x+3)}{h}

\frac{(2x+2h+3-2x-3)}{h}

\frac{2h}{h}=2

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4 years ago
A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed
mel-nik [20]

Answer:

  • boat speed: 17.25 mph
  • current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

  speed = distance/time

  b-c = 29.5/2 = 14.75 . . . . . miles/hour

  b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

  (b+c) -(b-c) = 19.75 -14.75

  2c = 5

  c = 2.5

Then either equation can be used to find b:

  b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0
3 years ago
If f(x)=4x+9+2, which inequality can be used to find the domain of f(x
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8 0
3 years ago
what is the quotient 5-x/x^2 3x-4 divided by x^2-2x-15/x^2 5x 4 in simplifed form state any restrictions on the varible
zheka24 [161]

The quotient when \frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4} in simplified form is \frac{-(x+1)}{(x-1)(x+3)}

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that equation:

\frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4}

=\frac{5-x}{(x+4)(x-1)} /\frac{(x-5)(x+3)}{(x+4)(x+1)} \\\\=\frac{5-x}{(x+4)(x-1)} * \frac{(x+4)(x+1)}{(x-5)(x+3)}\\\\\frac{-(x-5)}{(x+4)(x-1)} * \frac{(x+4)(x+1)}{(x-5)(x+3)}\\\\=\frac{-(x+1)}{(x-1)(x+3)}

The quotient when \frac{5-x}{x^2+3x-4} /\frac{x^2-2x - 15}{x^2+5x+4} in simplified form is \frac{-(x+1)}{(x-1)(x+3)}

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
3 years ago
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