Answer:
a. 60 centimeters
b. 67 centimeters
Step-by-step explanation:
a.
12 × 4 = 48
(6 × 4) ÷ 2 = 12
48 + 12 = 60
b.
7 × 10 = 70
(2 × 3) ÷ 2 = 3
70 - 3 = 67
The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
Answer:
yes you should its a waste of time and money
Wait, this is simplified because there are no common terms.
Here
we can see that the problem gives us the length of a sandwich of x =
1.2. The problem also asks us for the expression that better
represents the approximate length of the crust given among the
options above. Here we simply have to substitute x to each of the
choices.
The
answer is B) x = 8x² + 34; 45.52 centemiters
I
hope it helps, Regards.
