If you put the equation into graphing calculator online or manual, you can get the graph.
Answer:
y ≥ 6.25
Step-by-step explanation:
f(x)=4x²+2x-6
positive (4) leading coefficient, curve is left up and right up
x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4 (-0.25)
y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4 (-6.25) ... extreme
range: y ≥ - 6.25 [-6.25,∞)
Answer:
Amy should produce 2 pitchers to maximize profit and the maximum profit will be $18.
Step-by-step explanation:
Amy can produce china pitchers at a cost of $3 each.
She estimates the price function that can be represented by
p = 20 - 4x
Let she sells the number of x pitchers in a week.
Then the selling price of x pitchers will be = $x(20 - 4x)
Cost price of x pitchers = $3x
Profit (P) = Selling price - Cost price
= x(20 - 4x) - 3x
= 20x - 4x²- 3x
= 17x - 4x²
To maximize the profit,
P' = 17 - 8x = 0
8x = 17
x = 2.125
x ≈ 2
Therefore, 2 pitchers should be produced.
Profit = 17x - 4x²
= 17(2) - 4(2)²
= 34 - 16
= $18
Answer:
A
Step-by-step explanation:
0.68.....the last digit (8) is in the hundredths place...so put the 68 over 100 and reduce.
68/100 = 17/25