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Vikentia [17]
3 years ago
7

If f(1)=2f(1)=2 and f(n)=f(n-1)^2-n

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

f(4)=-3

Step-by-step explanation:

f(1)=2

f(n)=f(n-1)^2-n

If n=2

f(2)=f(2-1)^2-2

f(2)=f(1)^2-2

f(2)=2^2-2

f(2)=4-2

f(2)=2

If n=3

f(3)=f(3-1)^2 - 3

f(3)=f(2)^2 - 3

f(3)=2^2-3

f(3)=4-3

f(3)=1

if n=4

f(4)=f(4-1)^2 - 4

f(4)=f(3)^2 - 4

f(4)=1^2 - 4

f(4)=1-4

f(4)=-3

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Geometry Help please?
wariber [46]
Answers:
The coordinates of X are (-24,0)
The scale factor is 8/3.

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To find the scale factor, you divide the y coordinates of the points Y and V
-8/(-3) = 8/3

Notice how multiplying the y coordinate of point V gets us to the y coordinate of point Y
-3*(8/3) = -24/3 = -8

Do the same for the x coordinate of point U
-9*(8/3) = -72/3 = -24
which is the x coordinate of point X
3 0
3 years ago
Prove divisibility 45^45·15^15 by 75^30
Anuta_ua [19.1K]

Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(3*15)^{45}=3^{45}*15^{45}

75^{30}=(5*15)^{30}=5^{30}*15^{30}

Substituting these values in our division problem we will get,

\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}

\frac{3^{45}*15^{60}}{5^{30}*15^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{45}*15^{60-30}}{5^{30}}

\frac{3^{45}*15^{30}}{5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{3^{45}*(3*5)^{30}}{5^{30}}

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

3^{45+30}

3^{75}

Therefore, our resulting quotient will be 3^{75}.

8 0
2 years ago
Rebecca filled 28 glasses with orange juice for a camp breakfast. if each glass holds 1 cup of juice, how many quarts of orange
Art [367]

The number of quarts of orange juice did Rebecca use is 7

Given that 28 glasses with orange juice are filled for a camp breakfast

Each glass holds 1 cup of juice

We need to find the number of quarts of orange juice did Rebecca use  

We know that a quarts has 4 cups

We need to calculate the quarts from 28 glasses  

Let the number of the quarts be x

So the equation formed is

4x = 28

Where x is number of quarts and 28 are the number of glasses

x = 7

Hence the number of quarts is 7

Learn more about Logical reasoning here

brainly.com/question/14458200

#SPJ4

7 0
2 years ago
3/7 g=9 how do you do it?​
Lera25 [3.4K]

The answer is g = 21

just multiply the fraction.

3 × 7 is 21.

6 0
3 years ago
What is 21 out of 30 as a percent
mina [271]
21/30 as a percent would be 70%.
7 0
3 years ago
Read 2 more answers
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