Answer:


Step-by-step explanation:
we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.



Rewrite as perfect squares

remember that





Answer:
The correct answer is the last option, that is, 
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 
In order for amount of money to be equal in accounts of both the runners, we set up:

Upon rewriting the left hand side using commutative law, we get:

Therefore, we can see that the last option is the correct answer.
Answer:
x is any number less than -64; i.e. -66
Step-by-step explanation:
Inequality
3x + 23y - 15 < 0
where point (x,9) satisfies this
Substitute 9 for y
3x + 23(9) - 15 < 0
3x + 207 - 15 < 0
3x + 192 < 0 Take away 192 from both sides
3x < -192 Divide both sides by 3 to isolate x
x < -64
Check:
3(-64) + 23(9) -15 < 0
-192 + 207 - 15 < 0
-192 + 192 < 0
Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.
Equation would be: Y = 25 + 5x
Where, x = number of weeks
So, when x = 1, Y = 25 + 5(1) = 25+5 = 30
When x = 2, Y = 25 + 5(2) = 25 + 10 = 35
x = 3, Y = 25 + 5(3) = 25 + 15 = 40
So, Mark the coordinates: (0, 25), (1, 30), (2, 35), (3, 40), (4, 45), (5, 50)...
And draw a line...Graph is done!
Hope this helps!