Answer:
15
Step-by-step explanation:
Answer:
see attached graph
Step-by-step explanation:
Given equation: 
Standard form of a quadratic equation: 
where
is the y-intercept
If
then the parabola opens upwards.
If
then the parabola opens downwards.
Therefore, the y-intercept of the graph is (0, 3)
To find the x-intercepts, factor the equation:




Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)
To determine the vertex, differentiate the equation:

Set to zero and solve for x:

Substitute
into the original equation and solve for y:

Therefore, the vertex (or turning point) is at (2, -1)
Answer:
Brianne gets 25.12 inches² of pancake.
Step-by-step explanation:
Assuming the pancake to be a circular shape.
If the pancake's distance from one side of the pancake to other side was 8 inches, then diameter of circle = 8 inches. It means radius = 4 inches.
Brianne cut her pancake in half to share with friend. It means Brianne gets half-circular shape. So we need to find area of half-circle.
Area of half-circle = (1/2)πr² = (1/2) x 3.14 x 4² = 1.57 x 16 = 25.12 inches².
Hence, Brianne gets 25.12 inches² of pancake.
Answer:
[μ-error, μ + error]
[14000- 3000, 14000 + 3000]
Step-by-step explanation:
We write it how an interval, where the center of the interval is the mean, thus
[μ-error, μ + error]
First we calculate the mean
μ = (11000+17000)/2
μ = $14000
And the error is the absolute value of the difference between the mean an either extreme values
error = |14000 -17000| = |14000 - 11000| = 3000
Then
[14000- 3000, 14000 + 3000]
The answer would be 12 triangles. hope that helped