PLEASE HELP!!

If f (x) = x-2 and g (x,y) = y2 + x, then g (3, f(4)) is?

alex41 [277]

$f(4)=4-2=2\\\\
g(3,f(4))=g(3,2)=2^2+3=4+3=7$

4 0

2 years ago

Read 2 more answers

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Determine the unit rate. Use mental math when you can. 6 golf balls for $15

Lena [83]

Answer:

1 golf ball : $2.50

Step-by-step explanation:

You can first divide 6 and 15 by 3, and get 2 and 5.
Then, you divide 5 by 2, which is 2.5
Therefore, the unit rate is 1 golf ball : $2.50

4 0

2 years ago

The measure of the exterior angle of the triangle is

Nookie1986 [14]

Answer:

jsjsjsisusbbdbdjsjcjdjsjjsjsjsjsjdjxjx

4 0

2 years ago

The scale for the triangle below is ¼ in : 6 in. Find the height of the actual triangle.

stepladder [879]

The height would be 108 inches. the base would be 156 inches. I figured this bc the 1/4 is half of 1/2 so if 1/4 is 6inches 1/2 would be 12 inches

5 0

3 years ago

Read 2 more answers