Since we will be completing the square we need to isolate the x
y-5 = 2x^2 -4x
now we the coefficient of the x^2 to equal 1 so we take 2 as common factor
y-5 = 2(x^2 -2x)
now we'll make it perfect square by adding 2 to both sides
y-5+2=2(x^2-2x+1)
now simplify and convert the right side to squared expression
y-3 = 2(x-1)^2
now isolate the y
y = 2(x-1)^2 +3 that's it
Domain: (-∞,∞) or All real numbers
Range: (-∞,∞) or All real numbers
Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :

Putting all the values,

Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.
Bruh it's 16! Have some dang common sense. 16 isn't even close to the other numbers you listed. Bruh smh.
Answer:
86.9 cm squared
Step-by-step explanation:
The surface area of a rectangular prism is denoted by:
, where l is the length, w is the width, and h is the height.
Here, the length is l = 5.3, the width is w = 2, and the height is h = 4.5. So, plug in these values:

Thus, the surface area is 86.9 cm squared.
Hope this helps!