Answer:
152
Step-by-step explanation:
We need to find how many people like dogs but not cats. We can see that 152 people wrote that they like dogs. The other options were that they liked cats, both or neither. So we can assume that the 152 people that picked dogs do not like cats as there is no other option. So this is the answer. Also, you can create a venn diagram with this.
Hope this helped. Brainliest answer would be grateful
Answer:
A
Step-by-step explanation:
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
15 cm, as 1 and 3 are too small, 75 is too big, and 15 is just average