Answer: 7x + 9y >_ (more or equal) 314
X + Y <_ ( less or equal) 35
Step-by-step explanation:
Answer:
n=28
Step-by-step explanation:
4+3
7+5
12+7
19+9
the pattern adds two to the last number
Answer: No
Step-by-step explanation:Divide 4 from both sides to find that x actually equals 13.5
1a. It does say y is "less than 8", which means 7, 6, 5, 4, etc. So it should be y < 8, with the arrow going from 8 to the the left.
Everything else in 1 is correct.
For 2, you're just picking out which of the given numbers satisfy the inequality, for example
a. 14, 15, 16 are solutions. 13 is not because it is less than 14.
3. Same thing as 1
Double angle (or half angle, depending how you look at it) identities:



So we have



Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know
and
, so it's also the case that
.
Also, the reason we have equality in the last step can be explained like so:

(not unlike the process used to complete the square)