Answer: 
<u>Step-by-step explanation:</u>
f(x) = 3x² + 10x - 8
g(x) = 3x² - 2x

Restriction on x: the denominator cannot be equal to zero. So,
x(3x - 2) ≠ 0
→ x ≠ 0 and 3x - 2 ≠ 0
3x ≠ 2
x 
Answer:
$1136.60
Step-by-step explanation:
The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.
We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:
f(x)=1800(1 + r)^x
We also know the time intervals is 6 months. So that can be substituted as well:
f(x)=1800(1 + r)^6
They told you that the growth rate is 8.5%, which is 0.085 of 1.
f(x)=1800(1 + 0.085)^6
Add the 2 values in the parentheses and you get 1.085
f(x)=1800(1.085)^6
Now solve.
Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:
1800(1.63146751) = 2936.64152. That rounds to 2936.60
So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.
$2936.60 - $1800 = $1136.60
Answer:
32 books.
Step-by-step explanation:
What do we know?
As Olive continues this pattern, this will involve multiplication.
4 books per month and 8 months.
4*8=32 books.
So, Olive will read 32 books within 8 months.
Yes, because if you have x=5 and x=10 they are parallel lines to each other.
Answer:
x=1
Step-by-step explanation:
Just look at the x axis and see where the coordinate lands on and it's 1