Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
Answer: ∛v
Step-by-step explanation:
Since we know volume is measured height x width x length, we know the equation we'd use here would be:
___ x ___ x ___ = v in³
If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.
When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.
In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.
I really hope I was able to explain easy enough, feel free to ask anything else!
Answer:
$24,800
Step-by-step explanation:
If a car is worth 8% less after one year, then it is worth 92% of the original value.
original value = x
after 1 year: 0.92x
after 2 years: 0.92(0.92x)
after 3 years: 0.92(0.92(0.92x))
0.92³x = $19,311.46
x = $19,311.46/0.92³
x = $24,800
Answer:
if you rearrange to complete the square, you get (x^2-4)^2 +4
and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4
and 0 + 4 = 4, which is greater than 0, so positive
Step-by-step explanation:
