“Extraneous solutions are not solutions at all. They arise from outside the problem, from the method of solution. They are extraneous because they are not solutions of the original problem. ... To tell if a "solution" is extraneous you need to go back to the original problem and check to see if it is actually a solution.”
Basically, they are an answer you get when you solve a problem, but they don’t actually make the equation true so you disregard it.
Answer:
Therefore the rate of growth of the tree is 33 cm/ yr.
Step-by-step explanation:
Given that,
The height of the tree is
H= 210 +33t
Here H represent the height of tree in cm and t is time in year.
The rate of growth is the first order derivative of the H with respect to time.
i.e The rate of growth 
∴H= 210 +33t
Differentiating with respect to t


Therefore the rate of growth of the tree is 33 cm/ yr.
Answer:
$32.10
Step-by-step explanation:
Okay to find any price included with tax is 100% plus the tax.
The tax is 7%. So in decimals its 1.07.
Lets multiply. 30 x 1.07 = $32.10
So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:
5 to 10
We would change this into:

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
Answers
1. B) 31
2. B) 4
3. A) 15
4. D) 24
5. A) 3
MARK BRAINLEIST PLS THIS TOOK A LOT OF TIME