Agarden table and a bench cost $804 combined the garden table costs $46 less than the bench. what is the cost of the bench

The cost of the bench is 425 dollars.

Step-by-step explanation:

Let x represent the garden table.

Let y represent the bench.

x + y = 804

x = y - 46

Use the substitution method.

y - 46 + y = 804

2y - 46 = 804

Add 46 to both sides.

2y = 850

Divide both sides by 2.

y = 425

The cost of the bench is 425 dollars.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for