Answer:
t = -1 or 5/2
Step-by-step explanation:
To find t; we equate H(t) = 0
-16t^2+24t+40.0= 0
dividing through by 8 we have ;
-16t^2 / 8+ 24t/8+40.0/8=0
-2t^2 + 3t + 5=0
-2t^2 + 5t -2t + 5=0
By factorisation;
t(-2t + 5) +1 (-2t + 5)=0
This means;
(t + 1)(-2t +5)= 0
t + 1 = 0 or -2t + 5 = 0;
t= -1 ; -2t = -5
2t = 5
t = 5/2;
Hence t = -1 or 5/2
Answer:
y=17
Step-by-step explanation:
We move all terms to the left:
23-(y+40.)=0
We add all the numbers together, and all the variables
-(y+40)+23=0
We get rid of parentheses
-y-40+23=0
We add all the numbers together, and all the variables
-1y-17=0
We move all terms containing y to the left, all other terms to the right
-y=17
y=17/-1
y=-17
0.333 repeating is the answer :)
Answer:
The given table represents a function f(x) = y = 2x+3
The upper graph
Step-by-step explanation:
We will write the equation of the right line in the explicit (slope) form
y = ax+b
We will take two points from the given table
A(-1,1) and B(0,3) and insert their coordinates in the equation y=ax+b and get
A(-1,1) => 1 = (-1)*a+b => -a+b=1
B(0,3) => 3=0*a+b => 3= 0+b => b=3
Now we will insert b=3 in the equation -a+b=1 and get
-a+3=1 => a=3-1 => a=2
Now we will insert a=2 and b=3 in the equation y=ax+b and get
equation of the function
y = 2x+3 = f(x) The upper graph.
Good luck!!!
