Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25
32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>
Solution:</u></h3>
From given,
Final mixture is 40 gallon
Let "x" be the gallon of 25 % antifreeze
Then, (40 - x) is the gallon of 50 % antifreeze
Therefore, according to question,
"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>Therefore, we frame a equation as:</u></h3>
25 % of x + 50 % of (40 - x) = 30 % of 40
Solve for "x"

Thus, 32 gallons of 25 % antifreeze is used
Then, (40 - x) = (40 - 32) = 8
Thus 8 gallons of 50 % antifreeze is used
Answer:
$1.56
Step-by-step explanation:
1.50 times 0.04 is 0.06
1.50+0.06
$1.56
Answer:
y>2
y<x
Choice D
Step-by-step explanation:
y> 2 is shaded above the line
y< x is shaded below the line