They can be equal if the absolute value of b is 1.
The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
<h3>How to determine the
x-intercept?</h3>
The function is given as:
g(x) = -5(x - 3)^2
Set g(x) to 0, to determine the x-intercept.
-5(x - 3)^2 = 0
Divide through by -5
(x - 3)^2 = 0
Take the square root of both sides
x - 3 = 0
Add 3 to both sides
x = 3
Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)
<h3>How to determine the vertex?</h3>
The function is given as:
g(x) = -5(x - 3)^2
A quadratic function is represented as:
g(x) = a(x - h)^2 + k
Where, the vertex is
Vertex = (h, k)
By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have
(h, k) = (3, 0)
Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
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Divide the distance by the average speed to find the time. 30 miles 20.04 mph 1.497 hrs. So it would take about 1.5 hours.
Answer:
yes
Step-by-step explanation:
multiply 7x7 and you will get 49. Then do 49- 56 and you will get -7. So the statement is true.
Answer:
Step-by-step explanation:
Team A : the mean height (average) is :
(75 + 64 + 78 + 65 + 68) / 5 = 350/5 = 70 inches
the range is highest number minus lowest number ...78 - 64 = 14
Team B : the mean height (average) is :
(76 + 68 + 70 + 74 + 67) / 5 = 355/5 = 71 inches
the range is : 76 - 67 = 9
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A). nope....it mentions nothing of the weight
B) nope....mean height of team A is not greater
C) nope...because that 75 inch player on team A
D) THIS ONE....the range for team A is greater then the range for team B