Answer:tickets in Germany cost $8.93
tickets in France cost $8.85
Step-by-step explanation:
Let x represent the cost of a movie ticket in Germany.
Let y represent the cost of a movie ticket in France.
Four movie tickets in Germany plus 3 movie tickets in France cost &62.27. This means that
4x + 3y = 62.27 - - - - - - - - 1
three tickets in Germany plus 4 tickets in France cost $62.19
This means that
3x + 4y = 62.19 - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 4. It becomes
12x + 9y = 186.81
12x + 16y = 248.76
Subtracting,
- 7y = - 61.95
y = - 61.95/7
y = 8.85
Substituting y = 8.85 into equation 1, it becomes
4x + 3×8.85 = 62.27
4x + 26.55 = 62.27
4x = 62.27 - 26.55
4x = 35.72
x = 35.72/4 = 8.93
Answer:
<h3>3.3</h3>
Step-by-step explanation:
Distance between AB is expressed as;
AB = √(3-0)²+(4-0)²
AB = √3²+4²
AB =√9+16
AB = √25
AB = 5
2 over 3 the distance from A to B is expressed as;
2/3 of AB
= 2/3 * 5
=10/3
= 3.3
Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
