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2 years ago

Can someone help me find the answer to this problem 2(x-3)=14

Mathematics

2 answers:

lord [1]2 years ago

5 0

Answer:4

Step-by-step explanation:

2x-6=14

2x=8

x=4

svp [43]2 years ago

4 0

Answer:

Step-by-step explanation:

Simplifies to 2x-6=14.

Add 6 to both sides. You will have the equation 2x-6+6=14+6

Simplify. You will get 2x=20

Divide both sides by 2. You will have 2x/2=20/2

Simplify and your final answer will be x=10

Hope this helps you out!

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3 years ago

What is the best interpretation of the y-intercept of the line?

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Option D. A student who studies 0 hours can expect to score about a 60 on the test

Step-by-step explanation:

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2 years ago

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Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

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