Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:

Where
is the height of the rock at a time
.
Now, if
we can find
and then the velocity of the rock at that height:

Rearranging the equation:

Multiplying the equation by -1:

Solving with the quadratic formula
, where
,
,
.

Choosing the positive result of the equation:
Since velocity
is defined as the traveled distance
in a given time
, we have:


This is the velocity of the rock at the height of 48 feet
Answer:
x = -1 and x = 4
Step-by-step explanation:
Firstly solve the quadratic expression of
2x^2-6x-8 = 0....it gives you the two brackets of.....(2x-8)(x+1)=0
then...you equate the two brackets to 0.separately
2x-8 = 0....which gives you...x = 4...as the first solution..then..;
x+1 = 0....which gives you...x = -1...as the second solution
Answer:
x = -2
y=-3
(-2,-3)
Step-by-step explanation:
Both equations are equal to y
We can set them equal to each other
y = 3x + 3
y = x − 1
3x+3 = x-1
Subtract x from each side
3x+3 -x = x-1-x
2x+3 = -1
Subtract 3 from each side
2x+3-3 = -1-3
2x = -4
Divide each side by 2
2x/2 = -4/2
x = -2
Now we need to find y
y = x-1
y = -2-1
y = -3
y = x-1
Answer:
c
Step-by-step explanation:
because u cant be wrong with going with none of the above due the fact that they could be decimals and they didn't want to write out the full number therefore making it incorrect. No need to thank me.
The answer is one in a half