First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:the answer is 3 and -1
Step-by-step explanation:
X=3
And
X=-1
3n - 5p + 2n = 10p
Since we are solving for n, you want to have all the terms containing the variable n on the left side of the equation and everything else on the right side.
Let's do this by adding 5p to both sides.
3n + 2n = 10p + 5p
Now combine like terms.
5n = 15p
Divide both sides by 5 since we are solving for the variable n.
n = 3p
1) 10%
2)12%
3)20%
4)8%
5)50%
Bunny Hill Ski
10x+35
Diamond Ski
5x+40
To find when both resorts cost the same prices set them equal to each other
10x+35= 5x+40
Minus 35 over
10x = 5x +5
Minus 5x over
5x = 5
X= 1
When x= 1 both of the resorts will cost the same price. You can check by substitute x with 1. Hope this helps!
