Answer:
y = 1/4x + 11/4
Step-by-step explanation:
Given the slope, m = 1/4, and the point, (1, 3):
We can substitute these values into the slope-intercept form, y = mx + b, in order to solve for the y-intercept.
The y-coordinate (b) of the point, (0, <em>b </em>) is the <u>y-intercept </u>of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
y = mx + b
3 = 1/4(1) + b
3 = 1/4 + b
Subtract 1/4 from both sides:
3 - 1/4 = 1/4 - 1/4 + b
11/4 = b
The y-coordinate, b, of the y-intercept is 11/4.
Therefore, the slope-intercept form is: y = 1/4x + 11/4
Please mark my answers as the Brainliest if you find this explanation helpful :)
That means that head was the most one to appear than tails
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
Find x you mean?
substract both side by 2x
5x=-35
divide both side by 5
x=-7
->D