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2 years ago

What is the rate of change of the line through (7,-5) and (12,-5)

Mathematics

1 answer:

12345 [234]2 years ago

5 0

Answer:

The rate of change is 0.

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For the function f(x)=5x2−5x, evaluate and simplify.

Marianna [84]

9514 1404 393

Answer:

10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}$

7 0

2 years ago

What does a standard deviation of 0 indicates ?

DIA [1.3K]

What does a standard deviation of 0 indicates 0.

4 0

1 year ago

There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes

worty [1.4K]

For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15), 20(1.15)², 20(1.15)³,

Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function = 24 + 4n n = number of end year, n =1, 2, 3,...

B) After 10 years: 
Parrot = 20(1.15)¹⁰ = 80.91115471

Snakes = 24 + 4(10) = 64

C) After what time they are the same: 
We use trial and error:

Test: n 20(1.15^n) (24 + 4n)
 1 23 28
 2 26.45 32
 3 30.41 36 
 4 34.98 40
 5 40.23 44
 6 46.26 48
 7 53.20 52
 8 61.18 56
 9 70.36 60

After year 7, the Parrots increases far more.
At year 7 they are roughly the same.

8 0

2 years ago

2.25% as a fraction

svetlana [45]

Answer:9/4

Step-by-step explanation:multiply 2.25 by 100 so you get 225/100 and reduce

4 0

2 years ago

Read 2 more answers

A raft and a motorboat simultaneously leave from the same point and move down the river. After 2 hours the motorboat turns aroun

lesya692 [45]

Answer:

2 hours

Step-by-step explanation:

Let x mph be the speed of motorboat in still water and y mph be the speed of current.

A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:

motorboat = x + y mph

raft = y mph

In two hours they will cover:

motorboat = 2(x+y) miles

raft = 2y miles

After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.

Let t be the time they move towards each other. In t hours, they cover

motorboat = t(x - y) miles

raft = ty miles

The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so

$2(x+y)=2y+t(x-y)+ty \\ \\2x+2y=2y+tx-ty+ty\\ \\2x=tx\\ \\t=2\ hours$

6 0

2 years ago