Answer:
yes
Step-by-step explanation:
1/4 = 0.25
Answer:
Step-by-step explanation:
Hello,
Basically, we need to prove that
is irrational
Let s assume that
is rational
it means that we can find p and q (q different from 0) two integers <u>with no common factors other than 1 </u>
so that
![\sqrt{2}=\dfrac{p}{q}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%3D%5Cdfrac%7Bp%7D%7Bq%7D)
And then we can write that
![2=\dfrac{p^2}{q^2}\\ p^2=2q^2](https://tex.z-dn.net/?f=2%3D%5Cdfrac%7Bp%5E2%7D%7Bq%5E2%7D%5C%5C%3C%3D%3E%20p%5E2%3D2q%5E2)
So
is even so it means that p is even
so
is divisible by 2*2=4
as
it means that
is even, meaning q is even
wait, p and q are then even !? but by definition they have no common factors. This is not possible.
so our assumption that
is rational is false
So it means that this is irrational
and then
is irrational too
Hope this helps
Answer:
2,672.45475 (round if needed)
Step-by-step explanation:
44 percent to a decimal is 0.44
2.5 percent to a decimal is 0.025
6,439.65 × 0.44 = 2833.446 (within 15 days)
6,439.65 × 0.025 = 160.99125 (within 30 days)
2833.446 - 160.99125 = 2,672.45475
For this case we have the following inequality:
![-4 (x + 3) \leq-2-2x](https://tex.z-dn.net/?f=-4%20%28x%20%2B%203%29%20%5Cleq-2-2x)
Applying distributive property on the left side we have:
![-4x-12 \leq-2-2x](https://tex.z-dn.net/?f=-4x-12%20%5Cleq-2-2x)
Adding 2x to both sides of the inequality we have:
![-4x + 2x-12 \leq-2\\-2x-12 \leq-2](https://tex.z-dn.net/?f=-4x%20%2B%202x-12%20%5Cleq-2%5C%5C-2x-12%20%5Cleq-2)
Adding 12 to both sides of the inequality we have:
![-2x \leq-2 + 12\\-2x \leq10](https://tex.z-dn.net/?f=-2x%20%5Cleq-2%20%2B%2012%5C%5C-2x%20%5Cleq10)
Dividing by 2 to both sides of the inequality:
![-x \leq \frac {10} {2}\\-x \leq5](https://tex.z-dn.net/?f=-x%20%5Cleq%20%5Cfrac%20%7B10%7D%20%7B2%7D%5C%5C-x%20%5Cleq5)
Multiplying by -1 on both sides, taking into account that the sense of inequality changes:
![x \geq-5](https://tex.z-dn.net/?f=x%20%5Cgeq-5)
Thus, the solutions are given by all values greater than or equal to -5.
ANswer:
See attached image
Option A