Answer:
(5x² + 3) (2x-3)
Step-by-step explanation:
10x³ - 15x² + 6x - 9 (rearrange)
10x³+ 6x - 15x² - 9 (group using parentheses)
(10x³+ 6x) - (15x² + 9) (factor out 2x from first term and 3 from second term)
2x (5x²+ 3) - 3(5x² + 3) (factor out (5x²+3) )
(5x² + 3) (2x-3) (answer)
The value of x = 1
5x + 15 = 20
- 15 -15
5x = 5 ( Divide by 5)
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of cans is n = 4
The number of can that are empty is N = 3
The number of can filled with water is k = 1
The number number of sets of cans is w = 5
Generally probability of detecting the correct can is mathematically represented as

=> 
=> 
Generally probability of not detecting the correct can is mathematically represented as



Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

=> 
=> 
Answer:
No solutions.
Step-by-step explanation:
Both equations have the same slope, but are separated by virtue of their different values of b, the y-intercept. The same slope means they are parallel lines. Since the y-intercept is different, they do not overlap.
As they say, "Parallel line have a lot in common. Too bad they'll never meet."
See attachment.
Answer:
6084
.
Step-by-step explanation:
Please find the attachment.
We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184
and the area of the A/C building is 900
.
We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.
Upon substituting our given information in Pythagoras theorem, we will get:


Therefore, the area of electrical building is 6084 square feet.