X^3+7x^2-18x
x(x^2+7x-18)
x(x+9)(x-2)
However note that this is not a normal factoring problem as dimensions must be greater than zero, so x>2
Since we were not given a specific volume there are infinite solutions provided x>2
Answer:c + f = 10
200c + 400f = 2400
Step-by-step explanation:
Let's say c is the number of cans of soup and f is the number of frozen dinners.
The total number of items is 10:
c + f = 10
The total amount of sodium is 2400 mg. Each can of soup has 200 mg, and each frozen dinner has 400 mg.
200c + 400f = 2400
The problem doesn't ask you to solve the system, but I'll solve it anyway. We can use substitution or elimination. But first, simplify the second equation by dividing both sides by 200.
c + 2f = 12
Using elimination, subtract the first equation.
f = 2
Plug into either equation to find c:
c = 8
There are 8 cans of soup and 2 frozen dinners.
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 17 and 17² = 289
9² + 12² = 81 + 144 = 225 ≠ 289
Then the triangle is not right
Answer:
48
Step-by-step explanation:
by parallel laws
132 + x = 180
x = 48
so x must be 48
