Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 -
≈ - 5.32 ( to 2 dec. places )
x = - 2 +
≈ 1.32 ( to 2 dec. places )
The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
<h2>
Answer:</h2>
<h2>
cos theta= adjacent side/ hypotenuse</h2><h2 /><h2>
cos theta= adjacent side/ hypotenusecos 36= x/8</h2><h2 /><h2>
cos theta= adjacent side/ hypotenusecos 36= x/8√5+1/4 = x/8</h2><h2 /><h2>
cos theta= adjacent side/ hypotenuse </h2>
cos 36= x/8√5+1/4 = x/8
4.7 is the approximate answer
Inequality : 19.50n+24≤$110
Solution: Alyssa can buy 4 DVDs
Work: 110-24=86
86/19.50 = 4.4
You can't have a fraction of a DVD, so you have to round down to 4.