Answer:
Step 1: x^2 + 8x + 15 + 1 = 0 + 1
Step 2: x^2 + 8x + 16 = 1
Step 3: (x + 4)^2 = 1
Step-by-step explanation:
You want the constant on the left to be the square of half the x-coefficient.
(8/2)^2 = 4^2 = 16
You already have a constant that is 15, so you need to add 1 to both sides of the equation. That is the <em>Step 1</em> shown here. <em>Step 2</em> is simplifying the result of <em>Step 1</em>. <em>Step 3</em> is rewriting the trinomial as the square of a binomial.
Answer:
Ella, Miles, Sam, Laney
Step-by-step explanation:
that should be the answer hope I could help
Look at the coordinates, y=4 in that coodinate meaning it is the y=intercept.
The slope u already know,
The formula for equation --> Y=mx+b
Answer: Y=3/4+4
Answer:
The table not represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have
For x=3, y=17
Find the value of k
-----> ![k=17/3=5.67](https://tex.z-dn.net/?f=k%3D17%2F3%3D5.67)
For x=5, y=27
Find the value of k
-----> ![k=27/5=5.4](https://tex.z-dn.net/?f=k%3D27%2F5%3D5.4)
For x=8, y=42
Find the value of k
-----> ![k=42/8=5.25](https://tex.z-dn.net/?f=k%3D42%2F8%3D5.25)
For x=9, y=47
Find the value of k
-----> ![k=47/9=5.22](https://tex.z-dn.net/?f=k%3D47%2F9%3D5.22)
The values of k are different
therefore
The table not represent a proportional relationship
<u><em>Find the slope of the line</em></u>
(3,17) and (9,47)
m=(47-17)/(9-3)=30/6=5
Find the equation of the line with m=5 and point (3,17)
y-y1=m(x-x1)
substitute
y-17=5(x-3)
y=5x-15+17
y=5x+2
This is the linear equation that represent the points in the table, but this equation not represent a proportional relationship (The line not passes through the origin)