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3 years ago

How do you do 3(4y-7)=15y+6

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

y = 27/7

Step-by-step explanation:

Perform the indicated multiplication:

3(4y-7)=15y+6 becomes:

12y - 21 = 5y + 6

Combining like terms, we get:

7y = 27, so that y = 27/7

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

6 0

3 years ago

Read 2 more answers

Question

ololo11 [35]

Answer:

correct experiment: viral culture test

Trial: (RCT) random control trial

It causes mild sickness or death

6 0

2 years ago

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.

I am Lyosha [343]

Answer:

$f=17\\p=9\\$

Step-by-step explanation:

Let

$f= Full-time\\p=Part-time$

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

$f+p=26...eqtn1\\275f+140p=5935....eqtn2\\$

Express eqtn1 in terms of f, $f=26-p$

Substitute f value in eqtn 2.

$=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\$

Therefore, jeds has 17 fulltime and 9 parttime employees.

8 0

3 years ago

To find 27x9 I find 27x10 and remove 1 group of 27

solniwko [45]

Answer:

yes because 10 groups 27 taking 1 group of 27 is now 9 groups of 27

10*27-27=243 is equal to 9*27=243

5 0

2 years ago

How can you compare and order numbers?

zhuklara [117]

You can compare numbers by using number line. The second way is to begin at the greatest place value. Find where the digits are different. <span>Compare the digits that are different, Write > or <.

Hope that helped :)</span>

3 0

3 years ago

How do you do 3(4y-7)=15y+6​

How do you do 3(4y-7)=15y+6