Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...
x=(-3±√-27)/2
x=-1.5±√-6.75
That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5. And to find the value of y for the vertex we just find the value of y when x=-1.5
y(-1.5)=6.75
Since y>0, the vertex is above the x-axis.
Answer:
She has enough sugar.
Step-by-step explanation:
Let x = cups of sugar needed
eggs/cups of sugar = 2/4 = 1/2
12 eggs/x = 1/2
24 = x
Since she as 25 cups available and she needs 24 cups, it looks like she has enough sugar with 1 cup left over. I hope she is making chocolate chip cookies.
Answer:
y = 2
Step-by-step explanation:
Calculate the slope m and equate to - 
m = 
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (8, y)
m = 
, that is
m = 
= -
Multiply both sides by 10 to clear the fractions
y - 4 = - 2 ( add 4 to both sides )
y = 2
If 9 pizzas cost $67.50 that means that 1 pizza costs 67.50/9 = $7.5
Answer A is incorrect because of false prize of pizza.
B isn't correct because 1 pizza cost $7,5 and not 7,5 pizzas cost $1
C isn't answer because of both reasons from answer A and answer B
D is the answer because it says that you need to pay $7.5 per pizza.
