To make x^2 + 2x a perfect square we need to add the term { 2 / (2*1) }^2
which equals 1.
Add 1 to both sides: x^2 + 2x = 8
add 1 to both sides: x^2 + 2x + 1 = 8 + 1 (x + 1)^2 = 9
Take square root on both sides: x + 1 = +/- 3 x = +3 - 1 or x = -3 - 1 x = 2 or x = -4
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.
A. 40 m
it wants me to say more stuff so yeah haha
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: 
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:
$12 the hour
Step-by-step explanation: $360 divided by 30 is 12, meaning he will need to make a minimum of 12 an hour to support his family.