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Alexxandr [17]
3 years ago
11

If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

The recursive formula f(n+1)=f(n)+5 means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from f(0)=3, which means that the next term is

f(1) = f(0)+5 = 3+5 = 8

Similarly,

f(2) = f(1)+5 = 8+5 = 13

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gulaghasi [49]
4/5,5/2 are the only ones that terminate
6 0
3 years ago
Read 2 more answers
13x=-21-6y and -8x=36+6y
IgorLugansk [536]

Answer:

x=3\\y=-10

Step-by-step explanation:

13x=-21-6y\\-8x=36+6y

Let's take one of the equations and solve for x. I'll take the first one.

13x=-21-6y

Divide by 13.

x=\frac{-21-6y}{13}

Now replace x in the second equation.

-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y

Distribute -8

\frac{168+48y}{13}=36+6y

Break down the fraction.

\frac{168}{13}+\frac{48}{13}y=36+6y

Subtract \frac{168}{13}

\frac{48}{13}y=36+6y-\frac{168}{13}

Subtract 6y

\frac{48}{13}y-6y=36-\frac{168}{13}

Combine like terms;

\frac{48-13*6}{13}y=\frac{36*13-168}{13}

Solve;

\frac{48-78}{13}y=\frac{468-168}{13}

Keep solving;

\frac{-30}{13}y=\frac{300}{13}

Multiply by the negative reciprocal of the fraction next to y.

(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

y=-10

After having found y, replace it in any of the equations to find x.

13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3

6 0
3 years ago
Read 2 more answers
A.
Varvara68 [4.7K]

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

Cross multiplying, we get 10c = 300.

 

Dividing both sides by 10, c = 30.

3 0
3 years ago
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Let f(x) = -2x + 4 and g(x) = 5x - 7. Find f(x) - g(x).
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Answer:

If you are just looking for a simplified answer then the answer is -7x - 3.

4 0
3 years ago
Write a number in scientific notation that is between 0 and 1/3 . justify the response .
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3.0*10^2= .03 this is  a possible answer
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