First Equation
STEP 1: Move the variable to the right side and change its sign
3x=8-y
STEP 2: Divide both sides of the equation by 3
x=8/3 - y/3
STEP 3: Write all numerators above the common denominator
x=8-y/3
THE FINAL ANSWER IS:
x=8-y/3
Second Equation
STEP 1: Move variable to the right side and change its sign
-x= -10+2y
STEP 2: Change the signs on both sides of the equation
x=10-2y
THE FINAL ANSWER IS:
x=10-2y
(0,3)(1,-2)
slope = (-2-3) / (1 - 0) = -5
y int is (0,3)
line is dashed, means no equal sign....shading above the line, means greater then
ur inequality is : y > -5x + 3
The first one is 2 the second one is 3
X + 3/4 > 11/4
X > 8/4
X > 2
So make a rectangle that extends from 2 and above
In inequalities normal athematic are used the only difference is that you flip the operator when dividing over -1 or taking inverse
Answer:
first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.
we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201
now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms: