Answer:
31
Step-by-step explanation:
given f(x) = 2x + 25,
f(3) =2(3) + 25
= 6 + 25
= 31
You do this by converting to vertex form a(x - b)^2 + c where the axis of symmetry is x = b
the correct function to have a symmetry x = 3 will be the one which includes -6x
which is the last one
x^2 - 6x - 1 = (x - 3)^2 -9-1
the last option is the correct one
<u>Given</u>:
Let X and Y be two sets.
The two sets are given by 
and 
We need to determine the value of the set 
<u>Value of the set </u><u>:</u>
The value of the set is the set that contains all the elements that are at least in one of the two sets.
Hence, the union of the set is given by
Arranging in ascending order, we get;
Thus, the union of the sets X and Y is
Answer:
The length of the mosquito in the picture is 117.6 mm.
Step-by-step explanation:
This question can be solved using a rule of three.
The real size of the mosquito is 16 mm, which is 100% = 1.
In the picture, the size is magnified 635%, so it is 100+635 = 735% = 7.35. So
16mm - 1
x mm - 7.35
x = 7.35*16 = 117.6
The length of the mosquito in the picture is 117.6 mm.
17 - (4k - 2) ≥ 2 (k + 3)
17 - 4k + 2 ≥ 2k + 6
-4k + 19 ≥ 2k + 6
19 - 6 ≥ 2k + 4k
13 ≥ 6k
13/6 ≥ k
Done!
