Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
Answer:
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
Step-by-step explanation:
CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup
CLUE 2: There is less celery than tomatoes.
CLUE 3: There is less tomatoes than carrots
From clue 2 and 3:
Tomato > Celery ; Carrots > tomatoes
From least to highest :
Celery < Tomatoes < Carrot
Arranging clue 1 in ascending order :
2/5 = 0.4
3/8 = 0.375
5/4 = 1. 25
Hence,
3/8 < 2/5 < 5/4
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups