x makes a linear pair with 120 degrees, so is supplementary:
Answer: 60 degrees
blah blah blah blah, the answer is 436
<span>pennies = 0.01 $
nickels = 0.05 $
dimes = 0.1 $
quarters = 0.25 $
We must write the system of equations that best suits this problem and solve it:
Let:
x = pennies
y = nickels
z = dimes
w = quarters
Writing the equations
0.01x + 0.05y + 0.1z + 0.25w = 3.71
I have twice as many dimes as nickels
z = 2y
two more nickels than quarters
y = w + 2
three fewer pennies than three times the number of nickels
x = 3y-3.
Solving the system of equations:
x = 21
y = 8
z = 16
w = 6
answer
He has
21 pennies
8 nickels
16 dimes
6 quarters
</span>
Answer:
x = 3/2
Step-by-step explanation:
Solve for x over the real numbers:
(5 x^2 - 4 x + 6) (3 - 2 x) = 0
Split into two equations:
3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0
Multiply both sides by -1:
2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0
Add 3 to both sides:
2 x = 3 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 2:
x = 3/2 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 5:
x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0
Subtract 6/5 from both sides:
x = 3/2 or x^2 - (4 x)/5 = -6/5
Add 4/25 to both sides:
x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25
Write the left hand side as a square:
x = 3/2 or (x - 2/5)^2 = -26/25
(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:
Answer: x = 3/2