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tresset_1 [31]
3 years ago
14

Consider this expression...

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

\frac{3x}{x + 2}  +  \frac{4x}{x - 2}  \\  \frac{(3x(x - 2) + (4x(x + 2))}{(x + 2)(x - 2)}

(3x²-6x+4x²+8x)/(x²-2²)

(7x²+2x)/(x²-4)

comparing with

ax²+bx/x²+c

we get

a=7

b=2

c=-4

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
Read 2 more answers
Which of the following is the graph of the equation y=3x^2-4x-2
I am Lyosha [343]

Answer:

stop

Step-by-step explanation:

(of an event, action, or process) come to an end; cease to happen.

example "his laughter stopped as quickly as it had begun"

3 0
3 years ago
30 is 50% 0f what number
liubo4ka [24]
30 is 50% of 60 because 50% is a half
6 0
3 years ago
What is the next sequence for 18,250, 18,500, 19,000, 20,000?
olchik [2.2K]
21,500 this is the answer
3 0
3 years ago
Read 2 more answers
PLEASE HELP
Viefleur [7K]
7x²=9+x
so
for
0=ax²+bx+c

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so

7x²=9+x
mins 9 from both sides and minus x
7x²-1x-9=0
a=7
b=-1
c=-9


x=\frac{-(-1)+/-\sqrt{(-1)^2-4(7)(-9)}}{2(7)}
x=\frac{1+/-\sqrt{(-1)^2+4(7)(9)}}{2(7)}
so the 4th one
4 0
3 years ago
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