Answer:
Step-by-step explanation:
This quadratic models the parabolic motion equation
where h is the height of the object after the motion occurs, a is the pull of gravity, v(i) is the initial vertical velocity of the object, and h(i) is the height from which the object was initially launched. If we are looking for when the ball hits the ground, h = 0, because the height of an object on the ground has no height at all (or 0 height). To find the time the object was in the air, factor the quadratic and solve for the values of t.
Two factors of 4 that add up to be 3 and multiply to be 4 are -1 and 4. So t=-1 and t = 4. Since we know that time can never be negative, then t = 4 seconds.
Answer:
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
Step-by-step explanation:
From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).
The slope of the line is
m= y2-y1/x2-x1 = 10-5/4-2 = 5/2
The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.
Since the rate of change (slope) is same for all points, therefore the table represents a linear function.
If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a linear function.
Answer:
X=5.7
Step-by-step explanation:
5x-3-2x/7=24
We simplify the equation to the form, which is simple to understand
5x-3-2x/7=24
Simplifying:
5x-3-0.285714285714x=24
We move all terms containing x to the left and all other terms to the right.
+5x-0.285714285714x=+24+3
We simplify left and right side of the equation.
+4.71428571429x=+27
We divide both sides of the equation by 4.71428571429 to get x.
x=5.72727272727
Answer:
x+2
Step-by-step explanation:
Dividing the poly by the known factor:
x3+5x2+6x <u>| x2+3x</u>
-x3-3x2 x + 2 <- the answer is here
2x2+6x
-2x2-6x
To prove that, let's multiply the two factors and find the pylonomial back on:
(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x
Tks your attention!
Answer x=2
Step-by-step explanation:
