Answer:
= 2
= k(k+1)
= (k+1)(k+2)
Step-by-step explanation:
We are given the statement,
as 2 + 4 + 6 + . . . + 2n = n(n+1)
That is,
as 2 + 4 + 6 + . . . + 2n = 
So, we have,
=
= 2
=
= 2 + 4 + 6 + . . . + 2k = k(k+1)
=
= 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)
Thus, we get,
= 2
= k(k+1)
= (k+1)(k+2)
Answer: x = 2
The step by step is attached to this answer, hope it helped!
Answer: $61.48
Step-by-step explanation:
First, let’s find her cost before tax by adding everything she bought together.
50+5+3=58
Then, find the cost of sales tax.
Convert 6% to a decimal
6/100=0.06
Multiply the total cost by the decimal
58*0.06=3.48
Add the tax and total cost together
58+3.48=61.48
So the total cost with tax is $61.48
Hope this helped!
The second sentence above helps with this answer. The y-intercept is the initial height of the plant before any documentation of time and growth was collected. Since the plant was initially 5 cm high, we can use it as a starting point for the data. For example, using x=0 indicates 0 day and if we substitute it in you will see that we are left with a solution of 5. This will let those reading the data to understand that the plant was already at 5 cm when the experiment began.