Answer:
Step-by-step explanation:
Let
x ----> the number of stickers
y ----> the price of the boxes
we have the points
<em>Find the slope</em>
<em>Find the equation of the line into point slope form</em>
The equation is equal to
substitute the value of m and the point A
----> linear equation that represent the situation
Answer: 9
Step-by-step explanation:
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
We use the Pythagorean theorem
x^2=7^2+24^2
x^2=49+576
x^2=625
x=sqrt(625)=25
Ok, so to find the slope, you use the slope formula.
Plugging the numbers in, you get 7-2/4-1.
Simplify, get 5/3.
5/3 is the slope of the line.
Hope this helps
