Answer:
The solutions are -1 and 2/5
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 3x - 2 = 0
By comparison:
a = 5
b = 3
c = -2
Now, to get the roots (solutions) of the equation, we will need to use the quadratic formula shown in the attached image
Substituting in the equation, we would find that:
either x = -1
or x = 2/5
Hope this helps :)
The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)
where
a1 = first term = 2
d = -5 = common difference
The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on
The recursive step would be
a(n) = a(n-1)-5
So that's why the answer is choice C
Answer:
$2,631.20
Step-by-step explanation:
We are told that the loan has a simple interest rate of 8% per year. This means that every year that goes on without Kyle paying back the money, he will have to pay an extra 8% of $32,890 as interest.
After one year, he only has to pay back one lot of interest, just 8% of $32,890.
To find that number we can change 8% into a decimal: 8%/100% = 0.08
And then multiply this by the amount of loan money:
0.08 x 32,890 = 2,631.20
Kyle has to pay $2,631.20 of interest at the end of one year.
Hope this helped!
A. 4/5 take the bus so 1/5 do not. 1/5 is 20% so 20% of the total students don't take the school bus.
B. The ratio of students who take the school bus to those who do not is 4:1
so... you can keep on going towards the negatives with "x", or towards the positives with "x", notice, if the "x" is negative, "y" is just a fraction, positive, but a fraction
and if "x" is positive, "y" is a positive integer
even when x =0, "y" never became 0, and is never negative either
so, the range is, "y" is always positive, but not 0, or
y>0
