The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the leading coefficient (coefficient of x²)
- If y = ax² + bx + c, then
- k = f(h) that means the value of y when x = h
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵
∴ 
∴ 
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic function in brainly.com/question/9390381
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Answer:
x=5
Step-by-step explanation:
3/5(x-10)=18-4x-1
3/5x-30/5=18-4x-1
3/5x-6=18-4x-1
+6 +6
3/5x=23-4x
+4x +4x
4 3/5x=23
23/5x=23
23/5 divide , so you actually multiply both sides by the reciprocal 5/23
x=5
Answer: 467
If you need anything else let me know I'll galdly help you!
This there was more to the problem then message me and ill redo it.
The best thing to do is to break it down to very small parts.
You are dealing with a sum. The first phrase says
10 +
Never mind the rest of it for now. Just make sure you understand that you are adding 10 to something.
The next part of the question a quotient. You have to understand exactly what that means. If you divide 15 by three, you would write that as 15/3 The answer you get is 5. 5 is the quotient. It's a fancy way of saying answer.
Algebra isn't so nice. There is no way to get an answer when you do a division with a number and a letter. You have to be content with just showing how it is done.
So the next phrase is x divided by 6. And you show that as x/6
So what do you have? 10 + something which is where we left off. The something is x/6
Answer
10 + x/6
I believe the answer would b ( B) 1/3
Hope this helps!
