Answer:
(2x² + 5x + 2) = (2x + 1)(x +2)
Step-by-step explanation:
Given expression is (2x² + 5x + 2).
We have to factorize the given expression.
(2x²+ 5x + 2) = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (2x + 1)(x + 2)
So the factored form of the given expression will be (2x + 1)(x + 2).
I hope this help but in case you cant see it the answer is 174
Answer:
18 parts of the 25% acid solution and 12 parts of the 50% acid solution
Step-by-step explanation:
(a) Let the system of equations be
(1) A × x + B × y = 0.4 × 30
and A + B = 30
where x = 25% acid solution and y = 50% acid solution
Simplifying, we get
A × 0.25 + B × 0.5 = 0.4 × 30 = 12
or (i)A + 2 × B = 48
and (ii) A + B = 30
b) See the attached graph
as the 25% acid solution is increasing the 50% acid solution also increases
c) From the equations
(i)A + 2 × B = 48
and (ii) A + B = 30
we get from equation (ii) A = 30 - B
Substituting for A in equation (i) we get
A + 2 × B = 48 ▶ 30 - B + 2 × B = 48
or 30 + B = 48 or B = 12
and A + B = 30 or A = 30 - B = 30 - 12 = 18
A = 18 and B = 12