Answer:
It would be a negative number, no matter what negative integer you put it as.
Step-by-step explanation:
For example, lets substitute -2
f(-2) = -8-4-1 = -13; a negative number
No they are not equivalent
Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
Answer:
y = -1x -4
Step-by-step explanation:
The point slope equation is y - y1 = m(x -x1).
You will have to plug in the points (-3, -1) and (2, -6).
y - (-1) = m (x - (-3))
To find "m", find y over x.
m = (y2 - y1) / ( x2 - x1)
m = (-6 + 1)/(2 + 3)
m = -5/5
m = -1
Then plug in "m"
y + 1 = -1(x + 3)
then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.
y + 1 = -1x - 3
y = -1x -4
We need to FOIL that out and then get it into standard form to see what our A, B, and C are. FOILing gives us
. If we move the 7 over by subtraction and set it equal to 0, we have
. In order to avoid a negative leading coefficient, we can change all the signs to get
so A = 1, B = 0, C = -18, first choice above.
