Minus 1 both sides
x²-8x=-1
take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides
x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15
not exactly sure what to put in the blnaks
but
the solutions are x=4+√15 and x=4-√15
Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
8 percent of 20
=0.08 x 20
=1.6
Answer:
44.59
Step-by-step explanation:
First add 20% to $34.65 and get $41.58, add the tax and your answer is $44.59.
Answer:
Step-by-step explanation:
represent price per video game.
represent demand.
The linear equation in slope intercept form can be represented as:
where 
is slope of line or rate of change of demand of game per dollar change in price and 
is the y-intercept or initial price of game.
We can construct two points using the data given.
When price was $66 each demand was 400. 
When price was $36 each demand was 1300. 
Using the points we can find slope of line.
Using point slope form of linear equation to write the equation using a given point.
Using point .
⇒ 
[Using distribution]
Adding 400 to both sides:
⇒ 
⇒
The linear relationship between price and demand can be written as:
