Answer: 160 songs.
Step-by-step explanation:
<em>75% hip hop music - 120 songs
</em>
<em>100% all music - x songs
</em>
<em>Let's write the proportion:</em>
<em />
<em />
<em>Thus, Landon have 160 songs in his music library.</em>
Answer:
See below.
Step-by-step explanation:
Given :-
x² + bx + c = 0 if x₁ + x₂ = -b and x₁x₂ = c
Solving :-
a) x₁ = 1/2 and x₂ = -3/4
=> x² + -(1/2 + -3/4)x + 1/2(-3/4)
=> x² + -(-1/4)x + (-3/8)
=> x² + 1/4x - 3/8
=> 8x² + 2x - 3 = 0
b) x₁ = 1 + √5 and x₂ = 1 - √5
=> x² + -(1 + √5 + 1 - √5)x + (1 + √5)(1 - √5)
=> x² - 2x + 1 - 5
=> x² - 2x - 4 = 0
Answer:

Step-by-step explanation:
Solve for the value of
:

-Switch sides:


-Add
on both sides:


Therefore, the value of
is
.
Answer:
132
Step-by-step explanation: