The basic idea is that multiplying by 10 just moves the decimal point one place to the right. It makes the number bigger.
Examples:
3.1 x 10 = 31
3.1 x 10 x 10 = 31 x 10 = 310
Each time you multiply by another 10, the decimal point moves one more place.
In your exercise, says you're going to multiply by 10 <u>three</u> times in a row. So that will move the decimal point 3 places to the right.
So what do you get if you move the decimal in 4.25 three places to the right?
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
For point a:
For point b:
A polynomial of degree 3 has exactly 3 solutions if we use complex numbers. If the polynomial has real coefficients and z is a complex solution, i.e., , the conjugate is also a solution:
So, in the first case, if we know that 1-i is a solution, the conjugate 1+i must be a solution as well.
So, we know all the roots: -5, 1+i, 1-i.
When you know the solutions of a polynomial, you can write the polynomial (up to multiples) as
So, in your case, we have
You can check that indeed , because the constant term is 10, so, we're ok with this
The second exercise is exactly the same: the solutions -6, i, -i identify the polynomial
In this case, P(-3)=30, so if we want P(-3)=60 we have to multiply everything by 2:
Answer:
The answer is D
Step-by-step explanation:
Reorder the terms
Calculate
Use the properties of exponents
Therefore, the answer is c^6 d^12 e^4 or D