G(x)-f(x)=10x+2- (-8x+5)
=10x+2+8x-5
=18x-3
we have
![y=2x^{2} -8x+9](https://tex.z-dn.net/?f=%20y%3D2x%5E%7B2%7D%20-8x%2B9%20)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![y-9=2x^{2} -8x](https://tex.z-dn.net/?f=%20y-9%3D2x%5E%7B2%7D%20-8x%20)
Factor the leading coefficient
![y-9=2(x^{2} -4x)](https://tex.z-dn.net/?f=%20y-9%3D2%28x%5E%7B2%7D%20-4x%29%20)
Complete the square. Remember to balance the equation by adding the same constants to each side
![y-9+8=2(x^{2} -4x+4)](https://tex.z-dn.net/?f=%20y-9%2B8%3D2%28x%5E%7B2%7D%20-4x%2B4%29%20)
![y-1=2(x^{2} -4x+4)](https://tex.z-dn.net/?f=%20y-1%3D2%28x%5E%7B2%7D%20-4x%2B4%29%20)
Rewrite as perfect squares
![y-1=2(x-2)^{2}](https://tex.z-dn.net/?f=%20y-1%3D2%28x-2%29%5E%7B2%7D%20)
-----> equation in vertex form
therefore
the answer is the option C
![y=2(x-2)^{2} +1](https://tex.z-dn.net/?f=%20y%3D2%28x-2%29%5E%7B2%7D%20%2B1%20)
A)your equation for t-mobile would be
y=20x+100
Topar equation
y=30x
B) you’d set the two equation equal to each other
20x+100=30x
giving you the answer x=10
C) when x>13
D) when x<14
i’m a bit iffy on the last two but that’s the conclusion i came to
2+3+2=7
Red has 3
Yellow has 2
2+3=5
5/7 is the fraction of red or yellow marbles in the bag.
Doubling would not change the answer
Answer:
$310
Step-by-step explanation:
The first step is to add the costs of the textbook together :
$68.41 + $105.35 + $72.49 + $59.91 = $306.16
In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero
The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310