Answer:
3x, 2x + 5, and x - 3
Step-by-step explanation:
Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.
Our equation is:
6x³ - 3x² - 45x
First, we can factor out an x:
x (6x² - 3x - 45)
From here, we can see that by factoring out a 3:
3x (2x² - x - 15)
Now, after completing the square and factoring:
3x (2x + 5) (x - 3)
These are our three expressions.
The answer to the problem is 15 and 2. When you multiply it, it makes 30 and when you add it, it makes 17. :)
Answer: 1) B is correct, constant of variation is -2.
Step-by-step explanation:
1)
Direct variation states that a relationship between the two variables. we say y varies directly as x
i.e, or y =kx.................[1] ; where k is the constant of variation.
Given the equation:
Divide both sides by -4 we get;
Simplify:
.......[2]
On comparing equation [2] with [1] we get;
k = -2
Answer:(7x3)+(4x24)=117
Step-by-step explanation:
Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!
Answer:
54 m
Step-by-step explanation:
Alrighty, what have we here: an area of 162 m² and a width of 9m.
So: A=162m², W=9m, let's draw this: (see the screenshot attached)
Using the formula for area (Area = width x length) we see that:

Thus: (equating to L by dividing both sides by 9m)
⇒ 
Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

And there we have our answer.