Do you need this simplified?
If so, 30x^4a2 + 18x^2a^3 -6x^2a^2=0
Answer:
Step-by-step explanation:
To find the changes in the slope of the function s(t) we find its derivative
Now we make
The particle changes direction for the first time at t = 2 sec
The position at t = 2 sec is:
The acceleration after t = 2 sec is the second derivative of s(t), evaluated at t = 2:
Let
x--------> <span>represents the length of a single tile
L-------> t</span><span>he length of the floor
W------> the</span><span> width of the floor
A--------> </span>area of a tiled kitchen floor
<span>
we know that
A=W*L
A=</span>4x²<span> + 24x + 27
</span>so
W*L=4x² + 24x + 27---------> equation 1
L=2x+9------> equation 2
substitute equation 2 in equation 1
W*[2x+9]=4x² + 24x + 27
W=[4x² + 24x + 27]/[2x+9]
therefore
the answer is
the <span>expression that represents the width of the kitchen in terms of x is
</span>W=[4x² + 24x + 27]/[2x+9]
Ax^2 + bx + c
multiply the "a" and "c" coefficient
= ac
factor "ac" into a pair of numbers that adds to equal "b"
replace "bx" in the expression with factor pair
group terms and factor
* example problem:
2x^2 + 13x + 6
ac
2*6=12
factor pairs of 12
1*12 = 12
3*4=12
6*2=12
** The factor pair 1 and 12 add to make 13
replace 13x with (x+12x)
2x^2 + x + 12x + 6
group similar terms
(2x^2 + 12x) + (x + 6)
factor
2x(x + 6) + (x + 6)
The same parenthesis (x + 6) can be factored further by combining the outside multipliers 2x and 1
= (2x + 1)(x + 6)
Answer:
all work is pictured and shown