Answer:
The required equation is: 
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of 
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: 
From the table we have: 
Putting values and finding slope
So, we get slope 
Now, finding y-intercept
Using the slope and point (3,-5) we can find y-intercept
The y-intercept is 
So, the equation having slope and y-intercept will be:
The required equation is:
Answer:
8 gallons per minute
Step-by-step explanation:
24 gallons in 3 minutes
you divide 24 by 3 which is 8
40 gallons in 5 minutes
you divide 40 by 5 which is 8
the relationship is that in both the answer was 8 as in 8 gallons per minute
Answer:
(2x • 5x) + (2x • -2)
Step-by-step explanation:
I think that's what you're looking for, you just distribute the 2x to both of the numbers in the parathesis
In fraction is 3/4 and 3/4
Decimal is .75 and .75
Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
