Answer:
Step-by-step explanation:
x³-6x²+11x-6
put x=1
1³-6×1²+11×1-6=1-6=11-6=0
by synthetic division
1| 1 -6 11 -6
| 1 -5 6
|----------------
| 1 -5 6 |0
x²-5x+6=0
x²-2x-3x+6=0
x(x-2)-3(x-2)=0
(x-2)(x-3)=0
x=1
x-1=0
so x³-6x²+11x-6=(x-1)(x-2)(x-3)
Answer: 2 1/4
Step-by-step explanation:
From the question, we are told that a recipe call for 3/4 c of chopped pecans
and that Brentt wants to triple the recipe .
The numerical expression that represents the amount of pecans he will need will be gotten by multiplying 3/4c by 3. This will be:
= 3 × 3/4c
= 9/4c
= 2 1/4
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
Answer:
Yes
Step-by-step explanation:
X2+10x+25=0
So let's solve
10=5,5
25=5,5
So let's continue
X2+5x+5x+25
Let's factorise
X(x+5)+5(x+5)=0
(X+5)(x+5)=0
So
X+5=0
Substrate 5 from both sides
X=-5(twice)
So the answer is yes
