<span>y= 2x ^2 - 8x +9
</span>y = a(x - h)2 + k, where (h, k) is the vertex<span> of the parabola
</span>so
y= 2x ^2 - 8x + 9
y= 2x ^2 - 8x + 8 + 1
y = 2(x^2 - 4x - 4) + 1
y = 2(x - 2)^2 + 1 ....<---------<span>vertex form</span>
Answer:
![\huge\boxed{\text{Solution A: 32 ounces}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Ctext%7BSolution%20A%3A%2032%20ounces%7D%7D)
![\huge\boxed{\text{Solution B: 8 ounces}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Ctext%7BSolution%20B%3A%208%20ounces%7D%7D)
Step-by-step explanation:
In order to solve this problem, let's first understand what the question is asking.
If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.
Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.
![0.35a+0.85b= 40 \cdot 0.45](https://tex.z-dn.net/?f=0.35a%2B0.85b%3D%2040%20%5Ccdot%200.45)
<em>Why?</em> Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.
We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:
We can now solve this systems of equations.
Now that we know Solution B needs 8 ounces of mixture, we can substitute it into an equation to solve for a.
Therefore, we need 32 ounces of Solution A and 8 ounces of Solution B.
Hope this helped!
<em>Answer:</em>
It will cost $1,645 to fence in the garden.
<em>Step-by-step explanation:</em>
1. If the garden is 200 feet long by 150 feet wide, you know it's a rectangle with two sides that are 200 feet long and two sides that are 150 feet wide.
2. Add up the distance of the sides to get the perimeter.
So: 200 + 150 + 200 + 150 = 700 feet ---> You need 700 feet of fencing.
3. Multiply! 700 feet x $2.35 = $1,645.
I hope this helped! Feel free to give me Brainliest if you feel this helped. Have a good day. :)
Answer:
$1800
You need to find the area of the rectangle first, doing 15*20=300.
Then, divide it by 2, because you need to find the area of the triangle.
You have 150. Finally, multiply by 12. There you have it!
Please put brainliest if you can.
Answer:
16
Step-by-step explanation:
-2 to the 4th power is expressed as;
= (-2)^-4
= -2 × -2 × -2 × -2
= (-2×-2)×(-2×-2)
= 4×4
= 16
Hence -2 to the 4th power is equal to 16