The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵ 
is a root of the equation
- Substitute x by in the equation above to find k
∵ 2( )² + 11( ) + k = 0
∴ 2( 
) + 
+ k = 0
∴ + + k = 0
- Add the like terms
∵ + = 
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
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Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
Answer:
A.
Step-by-step explanation:
PRBO
