Answer:
6x^2(5x^4 +3)
Step-by-step explanation:
The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.
The greatest common factor of x^2 and x^6 is x^2.
Factoring 6x^2 from both terms, we get ...
... 18x^2 +30x^6 = 6x^2(3 +5x^4)
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<em>Comment on the question</em>
Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.
It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.
Answer:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(
Answer:
There are 24 ways to select one book of each type.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.
Compute the number of ways to select a biography as follows:
Number of ways to select a biography =

There are 6 ways to select a biography.
Compute the number of ways to select a mystery novel as follows:
Number of ways to select a mystery novel =

There are 4 ways to select a mystery novel.
Then the total number of way to select one book of each type is:

Thus, there are 24 ways to select one book of each type.
Answer:
13
Step-by-step explanation:
$45=3.50x
divide both sides by 3.50
13 movies (rounded to nearest whole number)