Answer:
Option (D)
Step-by-step explanation:
Standard equation of a quadratic function is,
ax² + bx + c
Comparing this function with the given quadratic function,
f(x) = 2x² - 4x - 3
a = 2, b = -4 and c = -3
By using quadratic formula to get the value of x,
x = 
= 
= 
= 
= 
Therefore, Susie made a mistake in step IV.
Option (D) is the answer.
Answer:
current value - x(current value x 0.885)
Step-by-step explanation:
Answer:
∠Z ≈ 12°
Step-by-step explanation:
Using the Sine Rule in ΔXYZ
= 
, that is
= 
( cross- multiply )
48 × sinZ = 10 × sin96° ( divide both sides by 48 )
sinZ = 
Z = 
( ) ≈ 12°
Equation 1: 6y = 12x + 36
Equation 2: 15y = 45x + 60
Solve equation 1 for y by dividing both sides by 6 to get: y = 2x + 6
Replace y in equation 2:
15(2x + 6) = 45x + 60
Simplify:
30x + 90 = 45x + 60
Subtract 45x from both sides:
-15x + 80 = 60
Subtract 90 from both sides
-15x = -30
Divide both sides by -15:
X = 2
Now replace x in the first equation and solve for y:
6y = 12(2) + 36
6y = 24 + 36
6y = 60
Divide both sides by 6
Y = 10
The solution is x = 2, y = 10
The answer is there is only one solution.
