Answer:
x = 2
Step-by-step explanation:
2(5x + 7) = 34
10x + 14 = 34
10x = 34 - 14
10x = 20
x = 20/10
x = 2
Answer:
48 teaspoons of Oregano
Step-by-step explanation:
Ratio is given as:
Cans of tomatoes : Teaspoons of Oregano
1 : 6
Hence:
1 can of tomatoes = 6 teaspoons of Oregano
8 can of tomatoes = x teaspoons
Cross Multiply
x = 8 × 6 teaspoons
x = 48 teaspoons of Oregano
We need to simplify

First lets factor


=


by applying the radical rule
![\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bab%7D%20%3D%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%5Csqrt%5Bn%5D%7Bb%7D%20)

By applying the radical rule
![\sqrt[n]{x^m} = x^{m/n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3D%20x%5E%7Bm%2Fn%7D)
So

=

=

Now let's factor

By applying the radical rule
![\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bab%7D%20%3D%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%20%5Csqrt%5Bn%5D%7Bb%7D%20)
,

So

=

So

=

We know that
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
so

We now have
We know that
So

We now got

We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:

All in All, we get

=

Hope this helps! :D
Answer:
(2x^2+7)
Step-by-step explanation:
5x^3 * 2x^2 = 10x^5
5x^3 * 7 = 35x^3