F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Let us say that:
o = cost of oranges per pound
p = cost of pears per pound
so that:
o = p – 2
Therefore:
10o + 8p = 61
10 (p – 2) + 8p = 61
10p – 20 + 8p = 61
18p = 81
p = 4.5
p = $4.5 per pound
So 3 pounds of pears would cost:
total cost = 3 * 4.5
total cost = $13.5
Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
Answer:
B. ii and iii
Sorry if im wrong
Step-by-step explanation:
