Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
For the pizza of 12 inch
Number calories in a 6-inch pizza = 640 calories, therefore:
Substitute:
And solve for x:
Now, Estimate the number of calories in one slice of a 12 inch pizza:
Answer: 320 calories
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Box Plot has less variability in the data. We can determine this by the distances between the beginning of the data to the end (range) and the distances between lower quartile and the upper quartile (interquartile range).
Box #1
Range - 30
IQR - 15
Box #2
Range - approximately 23
IQR - approximately 9
Box #2 has less variation in the data because the distances between these 2 ranges are smaller meaning the data is closer together.
Answer:
If use the area of the frame the area of the photo will be included
Area of frame = (22 + 2 x) * (20 + 2 x) = A
440 + 2 x ( 20 + 22) + 4 x^2 = A
A = 4 x^2 + 84 X + 440
Answer:
inequality form: x<14
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
