i need this answer quick pleasePeter bought 10 basketball, 20 baseballs, and 11 football at the sports store. The basketball cos
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Answer:
Step-by-step explanation:
Total number of toll-free area codes = 6
A complete number will be of the form:
800-abc-defg
Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.
Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.
Considering: 800-abc-defg
The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.
Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:
Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 =
Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes =
The other x-intercept is at x = 10
Step-by-step explanation:
The vertex form of the parabola is y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point of the parabola
- a is the leading coefficient of the equation of the parabola
- If a < 0 , then the vertex point is maximum
- If a > 0 , the the vertex point is minimum
∵ The parabola has a maximum point at (4 , 8)
∴ h = 4 and k = 8
∵ The form of the equation of the parabola is y = a(x - h)² + k
∴ The equation of the parabola is y = a(x - 4)² + 8
∵ The x-intercept is at x = -2
- x-intercept means the parabola intersects the x-axis at point (-2 , 0)
∵ x = -2 and y = 0
- Substitute these values in the equation above to find a
∴ 0 = a(-2 - 4)² + 8
∴ 0 = a(-6)² + 8
∴ 0 = 36 a + 8
- Subtract 36 a from both sides
∴ -36 a = 8
- Divide both sides by -36
∴ a =
∴ The equation of the parabola is y = (x - 4)² + 8
To find the other x-intercept substitute y by 0
∵ 0 = (x - 4)² + 8
- Subtract 8 from both sides
∴ -8 = (x - 4)²
- Divide both sides by
∴ 36 = (x - 4)²
- Take √ for both sides
∴ x - 4 = 6 or x - 4 = -6
- Add 4 to both sides
∴ x = 10 or x = -2
The other x-intercept is at x = 10
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