Answer:
![2x^{4}+x^{3}-x+2](https://tex.z-dn.net/?f=2x%5E%7B4%7D%2Bx%5E%7B3%7D-x%2B2)
Step-by-step explanation:
To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.
![x^{3}+3x^{2}-2x-6](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B3x%5E%7B2%7D-2x-6)
and
and![-2(x+3)](https://tex.z-dn.net/?f=-2%28x%2B3%29)
So this one is not prime, since you can still factor it.
![x^{3}+2x^{2}-3x-6](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B2x%5E%7B2%7D-3x-6)
and
and![3(x-2)](https://tex.z-dn.net/?f=3%28x-2%29)
So this one is not prime, since you can still factor it.
![4x^{4}+4x^{2}-2x-2](https://tex.z-dn.net/?f=4x%5E%7B4%7D%2B4x%5E%7B2%7D-2x-2)
and![-2x-2](https://tex.z-dn.net/?f=-2x-2)
and![-2(x+1)](https://tex.z-dn.net/?f=-2%28x%2B1%29)
So this one is not prime, since you can still factor it.
![2x^{4}+x^{3}-x+2](https://tex.z-dn.net/?f=2x%5E%7B4%7D%2Bx%5E%7B3%7D-x%2B2)
and![-x+2](https://tex.z-dn.net/?f=-x%2B2)
and -x+2 cannot be further factored.
Therefore,
is a prime.
Answer:
5.45
Step-by-step explanation:
just did on delta math
Answer:
1 / 14 tsp salt
(1 over 14)
Step-by-step explanation:
Let's set the scale factor as x.
So,
2 1/3 * x = 1
Divide both sides by 2 1/3, which is equal to 7/3
x = 1 / (7/3)
x = 3 / 7
So, amount of salt would be written as:
(1/6) * (3/7) =
(1/2) * (1/7) =
1 / 14 tsp salt
Let, the number of dimes be x.
Given, Brooklyn has three times as many nickels as dimes.
So number of nickels = ![3x](https://tex.z-dn.net/?f=%203x%20)
We know that 1 nickel = $0.05
So, 3x nickels = $
= $![(0.15x)](https://tex.z-dn.net/?f=%20%280.15x%29%20)
And 1 dime = $0.1
So, x dimes = $
= $![(0.1x)](https://tex.z-dn.net/?f=%20%280.1x%29%20)
Given, total value of the coins = $4.
So, we can write the equation,
![(0.15x)+(0.1x) = 4](https://tex.z-dn.net/?f=%20%280.15x%29%2B%280.1x%29%20%3D%204%20)
![0.15x+0.1x = 4](https://tex.z-dn.net/?f=%200.15x%2B0.1x%20%3D%204%20)
![0.25x = 4](https://tex.z-dn.net/?f=%200.25x%20%3D%204%20)
To find x, we have to move 0.25 to the other side by dividing it to both sides. We will get,
![\frac{0.25x}{0.25} =\frac{4}{0.25}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.25x%7D%7B0.25%7D%20%3D%5Cfrac%7B4%7D%7B0.25%7D%20%20%20%20)
![x =\frac{4}{0.25}](https://tex.z-dn.net/?f=%20x%20%3D%5Cfrac%7B4%7D%7B0.25%7D%20%20%20)
![x = 16](https://tex.z-dn.net/?f=%20x%20%3D%2016%20)
So, number of dimes = 16.
Number of nickels =
= ![3(16) = 48](https://tex.z-dn.net/?f=%203%2816%29%20%3D%2048%20)
So we have got the required answer.
Number of dimes = 16 and number of nickels = 48.
Answer
Evergreen Landscaping compró 4 toneladas de tierra vegetal y 3 toneladas de mantillo por $ 1460. La semana siguiente, la empresa compró 5 toneladas de tierra vegetal y 2 toneladas de mantillo por $ 1391. Calcula el precio por tonelada de cada artículo. ¡Muestra todo el trabajo!
Step-by-step exp