Log_(10)(x² - 4x + 7) = 2
Take the base 10 anti log of both sides.
x² - 4x + 7 = 10² = 100
x²- 4x - 93 = 0
Quadratic Formula
x = [4 ± √(4²-4(1)(-93))]/[2(1)] = [4 ± 2√97)]/2 = 2 ± √97
-18 - 6k = 1 + 3k
-6k - 3k = 1 + 18
-9k = 19
k = -19/9 or - 2 1/9
Q represents how many they did NOT recieve
380-127= 253
Now let's check
380-253= 127
CHECK
So q represents 253(the number of invitations they did NOT recieve)
Hope this helps!
Zero property because you are using zeros to multiply