Y=8
your teacher is introducing algebra
Answer:
<h3>This is the answer of your question. ☺☺</h3>
Answer:
8) -8, -9
9) 4, 
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of
such that the polynomial becomes zero.
.
We use the following formula to determine the solutions of a quadratic equation of the form: 

In this equation, 
Substituting in the formula, we have:


Taking 2 common outside we get:

Therefore, we get two solutions viz, x = -3, -9.
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:


The values of x = 4,
.
Hence, the answer.
Answer:
Interest rate of 7%.
Step-by-step explanation:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
We want to find t for which
when
. So



![\sqrt[10]{(1 + r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)


So a interest rate of 7%.