What is the value of f(x)=6

A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the

zheka24 [161]

9514 1404 393

Answer:

$6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

$5200 = 0.84p

p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

3 0

3 years ago

A number m decreased by 9 is 6

olga55 [171]

Answer:

m-9=6

m=6+9=15

I think.......

8 0

2 years ago

Find a base length of a shipping box in the shape of a triangle prism.The shipping box has a volume of 276 cubic feet,a height o

Gala2k [10]

The base length will be found as follows:
volume of the triangular prism is given by:
V=1/2ab×h
where:
10 ft
b=6.9 ft
thus the height will be found as follows:
276=1/2×10×6.9×h
solving for h we get:
h=276/34.5
h=8 ft

3 0

2 years ago

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

The slope of line m is 7/8. If n⊥m, what is the slope of line n?

Citrus2011 [14]

Hello!

Slopes of perpendicular lines are opposite reciprocals of each other, which the slope of line perpendicular to a line with a slope of 7/8 is -8/7.

Answer:
D. -8/7

Hope this helps!

8 0

3 years ago