Answer:
The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>
Step-by-step explanation:
Given function representing inches of rainfall:
To find the average rate of change between the 2nd year and the 6th year.
Solution:
The average rate of change between interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is given as :
For the given function we need to find the average rate of change between 2nd year and 6th year. ![[2,6]](https://tex.z-dn.net/?f=%5B2%2C6%5D)
So, we have:
Thus, average rate of change will be:
⇒ 
⇒ 
⇒ 
Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches
Answer:
200 mL
Step-by-step explanation:
If x is the volume of solution B:
0.06 (500) + 0.20 x = 0.10 (500 + x)
30 + 0.20 x = 50 + 0.10 x
0.10 x = 20
x = 200
The future worth of a certain item or money deposited at a certain percentage is obtained by the equation,
F = P x (1 + i)^n
F is the future worth, P is present worth, i is the percentage, and n is the number of years.
n = 2013 - 1938
n = 75
Substituting the known values,
300,000 = 100 x (1 + i)^75
The value of i from the equation is 0.1126.
The answer to this item is 11.26%.
Answer:
The correct options are A, B, C and D.
Step-by-step explanation:
A figure said to be congruent if:
Two figures are said to be congruent if they have same size and same shape.
If two figure are congruent that means the corresponding sides will also be congruent.
If two figure are congruent that means the the corresponding angles will also be congruent.
Now consider the provided option.
By the above definition it is clear that all the options are correct.
Hence, the correct options are A, B, C and D.
Hello from MrBillDoesMath!
Answer:
See Discussion section below
Discussion:
2x^2 + 5x + 3 = (2x+3)(x+1) which is Choice 3
3x^2+10x+4 =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)
I don't think any of the provided choices are right!
8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2
6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)
I don't think any of the provided choices are right!
2x^2+x-28 = (2x-7)(x+4) which is Choice 2
Thank you,
MrB
