5x - 2y = 17
4x - 3y = 8
Try to change one of the equations to isolate a variable, so you can use the new equation and substitute it into the other equation.
5x - 2y = 17
-2y = 17 - 5x
y = -17/2 + 5/2x
Now plug this into the second equation
4x - 3(-17/2 + 5/2x) = 8
4x + 51/2 - 15/2x = 8
8/2x - 15/2x = 16/2 - 51/2
-7/2x = -35/2
x = 5
Plug this into either equation to find y
4x - 3y = 8
4(5) - 3y = 8
20 - 3y = 8
-3y = -12
y = 4
x = 5, y = 4
Answer:
Option (C)
Step-by-step explanation:
Cost of ordering the number of shirts is represented by the function,
f(x) = 12.75x + 3.5
where x = number of players in the bowling team
Since number of players a bowling team can have,
6 ≤ x ≤ 10
Therefore, domain of the function: 6 ≤ x ≤ 10
For x = 6,
f(6) = 12.75(6) + 3.5
= 80
For x = 7,
f(7) = 12.75(7) + 3.5
= 92.75
For x = 8,
f(8) = 12.75(8) + 3.5
= 105.5
For x = 9,
f(9) = 12.75(9) + 3.5
= 118.25
For x = 10,
f(10) = 12.75(10) + 3.5
= 127.5 + 3.5
= 131
Therefore, for the given domain range of the function will be,
Range : {80, 92.75, 105.5, 118.25, 131}
Option (C) will be the answer.
This is a right triangle and to solve this you must use Pythagorean theorem:
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 60
b = x
c = 65
^^^Plug these numbers into the theorem
simplify
3600 + 
= 4225
Now bring 3600 to the right side by subtracting 3600 to both sides (what you do on one side you must do to the other). Since 3600 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
3600 - 3600 + = 4225 - 3600
0 + = 625
= 625
To remove the square from x take the square root of both sides to get you...
x = √625
x = 25
(option C)
Hope this helped!
Just a girl in love with Shawn Mendes
