First term is -7, so a_1 = -7
To get the next term, we add on 4. We can see this if we subtract like so
d = (2nd term) - (1st term) = (-3) - (-7) = -3+7 = 4
So d = 4 is the common difference.
Apply a_1 = -7 and d = 4 to get...
a_n = a_1 + d*(n-1)
a_n = -7 + 4*(n-1)
a_n = -7 + (n-1)*4
Answer: Choice A
Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
Answer:
you could divide
Step-by-step explanation:
f(x) = 5x²
f(10) = 5(10)² = 5(100) = 500
f'(x) = 10x
f'(10) = 10(10) = 100
Now, find the line that passes through (10, 500) and has a slope of 100
y - y₁ = m(x - x₁)
y - 500 = 100(x - 10)
y - 500 = 100x - 1000
y = 100x - 500