Answer:
step 6 has an algebraic error
Answer:
x=2
Step-by-step explanation:
5(x+3)-2=13
5(x+3)=15
x+3=5
x=2
Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
Answer:
Step-by-step explanation:
-3y = -2x + 5
y = 2/3x - 5/3
y + 1 = 2/3(x - 2)
y + 3/3 = 2/3x - 4/3
y = 2/3x - 7/3