A.
alright
we can factor out the b² from everybody
b²(5x²+14x-3)
use ac method
for ax²+bx+c
multiply ac, and remember te result
find what 2 numbers multiply to ac and add to get b
split b up into those 2 numbers
factor
it's confusing so see example below
so
b²(5x²+14x-3)
5 times -3=-15
what 2 numbers multiply to get -15 and add to get 14?
15 and -1
b²(5x+15x-1x-3)
group
b²((5x²+15x)+(-1x-3))
b²(5x(x+3)-1(x+3))
factor
b²(5x-1)(x+3)
B.
what 2 numbers multiply to get 81 and add to get -18?
-9 and -9
(x-9)(x-9) or
(x-9)²
C.
diff of 2 perfect squares
remember a²-b²=(a+b)(a-b)
so
x²-11²=(x+11)(x-11)
Answer:
7.2 liters
Step-by-step explanation:
Multiply 12 by 0.6
9514 1404 393
Answer:
p(1) = 6
Step-by-step explanation:
The basic idea is to put 1 wherever you see x. That gives you ...
p(1) = 2·1² +3·1 +1
The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:
p(1) = 2 + 3 + 1
p(1) = 6
Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7