Answer:
1. .........................................
- 2x = 3
- x = 3/2 Fraction
- x = 1.5 Decimal
2. ..........................................
- 5y = 3
- y = 3/5 Fraction
- y = 0.6 Decimal
3. ..........................................
- 0.3z = 0.009
- z = 0.009/0.3 = 9/300 = 3/100 Fraction
- z = 0.09 Decimal
Answer:
Step-by-step explanation:
A standard polynomial in factored form is given by:
Where <em>p</em> and <em>q</em> are the zeros.
We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.
First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.
Therefore, we acquire:
Simplify:
Expand the second and third factors:
Hence, our function is now:
It equals 320 when <em>x</em> = 4. Therefore:
Solve for <em>a</em>. Evaluate:
So:
Our third-degree polynomial equation is:
Answer:
The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.
explanation:
I'm bad with explaining things, but I'll try my best to explain why this is the right answer.
12 + 6n ≥ 30, so n ≤ 3
let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).
Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.
Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.
I hope this helps, and sorry if my explanation is hard to understand lol.
Answer:
The question needs to state the radius of the styrofoam ball.
