Answer:
The linear equation that represent the situation is 
The remaining balance on his gift card is 
Step-by-step explanation:
Let
x------> represents the remaining balance
we know that
The linear equation that represent the situation is equal to

Solve



Answer:
Yes.
Step-by-step explanation:
U will get 9,699,232
we are given
△ABC
we can use area of triangle formula

we have
AB=6
BC=10
m∠B=120°
so, we can plug it


..............Answer
n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
-----------------------------------------------------
ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
----------------------------------------------------------
n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.