Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
- Given equation: ax³ + bx² + cx + d
- Group a & b, c & d: (ax³ + bx²) + (cx + d)
- Pull GCFs and factors
Let's apply these steps to the given equation.
- Given equation: 2x³ + 6x² + 10x + 30
- Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
- Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)
As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
- List GCFs: 2x², 10
- Create a term: (2x² + 10)
Finally, we'll need to simplify this one by taking another GCF, 2.
- Pull GCF: 2(x² + 5)
Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
it is 2y 1x, good luck, hope i helped!!!
The general equation for exponential growth can be written as:
where r is the growth rate.
Plugging in the given values, we get:
Therefore
giving
![1+r= \sqrt[3]{1.1} =1.0323](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B3%5D%7B1.1%7D%20%3D1.0323)
The predicted number of bacteria after 17 hours is given by:
Answer:
(D) Each year,the machinery loses a value of 4,500
When it is 3 years old,it is worth a little over 35K ,and when it is 6 years old,its worth about 22K.
This info means A,C and B is wrong b/c it loses too little value per year.
