Answer:
A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.
Step-by-step explanation:
Function is given as;
f(x) = 2x² - 8x + 9
From quadratic formula, we know that;
a = 2
b = -8
c = 9
Now, x-coordinate of the vertex is;
x = -b/2a
x = -(-8)/2(2)
x = 2
Let's find the y-coordinate;
f(2) = 2(2)² - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
Thus, y-coordinate = 1
This means the vertex coordinate is (2, 1)
Now, vertex form of a quadratic equation is;
f(x) = a(x - h)² + k
Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.
Thus;
f(x) = 2(x - 2)² + 1
Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.
30*85 multiply those to numbers and then multiply 45 120
the total area of the pie is 237
Answer:
Ahmed needs 225g of flour to make 12 pancakes.
Step-by-step explanation:
With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:
150g → 8 pancakes
x ← 12 pancakes
x=(150*12)/8= 225g
According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.
