The piecewise function would be .
Answer:
x = 1/3 + (2 i sqrt(5))/3 or x = 1/3 - (2 i sqrt(5))/3
Step-by-step explanation:
Solve for x:
-3 x^2 + 2 x - 7 = 0
Divide both sides by -3:
x^2 - (2 x)/3 + 7/3 = 0
Subtract 7/3 from both sides:
x^2 - (2 x)/3 = -7/3
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = -20/9
Write the left hand side as a square:
(x - 1/3)^2 = -20/9
Take the square root of both sides:
x - 1/3 = (2 i sqrt(5))/3 or x - 1/3 = -(2 i sqrt(5))/3
Add 1/3 to both sides:
x = 1/3 + (2 i sqrt(5))/3 or x - 1/3 = -(2 i sqrt(5))/3
Add 1/3 to both sides:
Answer: x = 1/3 + (2 i sqrt(5))/3 or x = 1/3 - (2 i sqrt(5))/3
1)
y = kx
-12 = k(9)
k = -4/3
y = (-4/3)(-4)
y = 16/3
2)
y = kx
8 = 20k
k = 2/5
y = (2/5)(10)
y = 4
3)
y= kx
-6 = k(-14)
k = 3/7
-4 = (3/7)x
-4(7/3) = x
x = -28/3
Answer:
12 miles
Step-by-step explanation:
The problem above is related to the topic on "Equivalent Ratios." The missing term above is <em>"the number of miles that the vehicle can travel per gallon of gasoline."</em> In order to find this term, you have to use the "cross products."
Let n be the missing term.
- x n = x 1 gallon
- n = ÷
- n = x
Therefore, the vehicle can travel 12 miles per gallon of gasoline.