The answer to this is y=3 and x=-10.
Answer:
3q/2
Step-by-step explanation:
3p+3q=p
2p=-3q
p=-3q/2
Answer:
After 2009 the quality of the forests in this country improving.
Step-by-step explanation:
Consider the provided function.


Substitute f'(t)=0.



It is given that (0 ≤ t ≤ 10)
The test interval are (0,5) and (5,10)
For (0 < t < 5) the value of
For (5 < t < 10) the value of
Hence, the function is increasing from (5,10).
t = 0 corresponds to 2004.
Therefore, after 2009 the quality of the forests in this country improving.
When solving this equation, you get the answer as -43.5.
To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:
(8x - 20) - 16 = 10x + 51
8x - 36 = 10x + 51
- 8x
-36 = 2x + 51
- 51
-87 = 2x
÷ 2
-43.5 = x
I hope this helps!
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)