Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
The slope is 3. to find the slope of the equation, you look at the leading coefficient (the number in front of the x)
Write a recursive and explicit formula for each option.
Save a nickel on the first day of the month and then double the amount each day for a month
=> a1 =0.05
=> a2 = a1* 2 = 0.05*2
=> a3 = a2*2 = a1* 2*2
..............................................
=>recursive an =
=> explicit an = 0.05*
Start their savings by saving $10 on the first day and then $10 each day of the month
=> a1 = 10
=> a2 = a1 + 10 = 20
=> a3 = a2 +10 = 20 +10 =30
........................................................
=> recursive an = 
=> explicit an = 10 + 10( n-1)
Hope it will find you well.
Answer:
answer and explanation below
Step-by-step explanation:
2.m<x=75(angle on the same line so 180-105)
m<y=105 (vertical angles of the parallelogram are equal)
m<z=75 ( vertical angle of m<x)
3.M<y = 25 ( vertical angle property)
m<z=155( on the same line)
m<z and M,x =155( vertical angles )
Answer:
y = x/3 + 7
Step-by-step explanation:
Use the equation: y - y1 = m(x - x1)
Plug in the given values into the equation:
y - 5 = (1/3)(x + 6)
Simplify the right side:
y - 5 = (x/3) + 2
Finally, add 5 to both sides:
y = x/3 + 7