Answer:
- 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
g(x) = x² - 10x + (- 5)² - (- 5)² + 16
= x² - 10x + 25 - 25 + 16
= (x - 5)² - 9 ← in vertex form
vertex = (5, - 9), hence
minimum value = - 9
12 ounces are in 3/4 a pound.. and 16 ounces are in a pound.. so adding 16 and 10 gives you 26, which ends up with Karla's supplies weighing 4 pounds and 10 ounces all together.
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Y=Mx+b
M=3
Now you need b, so plug the x-coordinate and y-coordinate into the x and y in the equation to find the b.
-5=3(-3)+b
-5=-9+b
Add 9 to both sides to isolate the b
-5=-9+b
+9. +9
4=b
So the equation is
Y=3x+4