Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
To find range, you must find the largest number in your data, and subtract it by the smallest number in your data.
In this case...
the Largest (20) - smallest (0) = Range
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Answer: We know that the acorn falls from the height of 25 feet above the ground, it means the initial time when it falls is t = 0. The time when it lands on the ground is t = 1.25
Step-by-step explanation: never mind
Answer:
Step-by-step explanation:
we know that
The function of the graph is a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem
Looking at the graph
The vertex is the point (0,-4)
substitute
To determine the value of "a" take a point in the graph
I take the point (3,5)
substitute the value of x and the value of y and solve for a
therefore
The equation of the quadratic function is
