Answer:
A. 10%
Step-by-step explanation:
First calculate how much percentage is in one dollar, which is 5% per dollar, then times that by how much money is deducted which is $2, and you will get your answer 10%.
Hope this helps good luck!
Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2
<span>Y(−3, 4) is the original
</span><span>(x, y) → (x − 2, y + 1) is the rule you're using
(-3, 4) </span>→ (-3 - 2, 4 + 1)
(-3, 4) → (-5, 5)
<span>Y'(–5, 5)</span>
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)