f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13
25m+100−24m−75=68
Step 1: Simplify both sides of the equation.
25m+100−24m−75=68
25m+100+−24m+−75=68
(25m+−24m)+(100+−75)=68(Combine Like Terms)
m+25=68
m+25=68
Step 2: Subtract 25 from both sides.
m+25−25=68−25
m=43
Answer:
m=43
Answer:
$140 in the bank account
Step-by-step explanation:
0.70 (or 70%) of $200 = 140
70% of 100 = $70
$70 x 2 = $140
Answer:
729
Step-by-step explanation:
hope this helps!
Step-by-step explanation:
Let's represent the two integers with the variables 
and 
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for :
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for , which will be 
.
So the two numbers that sum to 
and have a product of 
are 
.
