Hi,
Let's solve the equation step-by-step.
x−3x=2(4+x)
Step 1: Simplify both sides of the equation.
x−3x=2(4+x)
x+−3x=(2)(4)+(2)(x)(Distribute)
x+−3x=8+2x
(x+−3x)=2x+8(Combine Like Terms)
−2x=2x+8
−2x=2x+8
Step 2: Subtract 2x from both sides.
−2x−2x=2x+8−2x
−4x=8
Step 3: Divide both sides by -4.
−4x/−4 = 8/−4
x=−2
Answer:
x=−2
Have a great day!
Yes it can, <span>The reduced form of </span><span>1624/2000</span><span> is </span><span>203/<span>250</span></span>
Answer: ![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
Step-by-step explanation:
You know that the expression is ![\frac{\sqrt{2}}{\sqrt[3]{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%7D)
By definition we know that:
![\sqrt[n]{a}=a^{\frac{1}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D)
You also need to remember the Quotient of powers property:

Therefore, you can rewrite the expression:

Finally, you have to simplify the expression. Therefore, you get:
![=2^{(\frac{1}{2}-\frac{1}{3})}\\=2^{\frac{1}{6}}\\=\sqrt[6]{2}](https://tex.z-dn.net/?f=%3D2%5E%7B%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%29%7D%5C%5C%3D2%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%3D%5Csqrt%5B6%5D%7B2%7D)
Answer:
If the input is n then the output f(n) will be 4n - 8.
Step-by-step explanation:
Let the input of the function is denoted by x and the output is denoted by y.
Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).
Therefore, the relation between x and y i.e. the equation of the straight line will be given by

⇒ y - 4 = 4(x - 3)
⇒ y = 4x - 8
⇒ f(x) = 4x - 8
Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)
It’s B okay so first you’ll take 47-20 and that will give you 20 then you’ll divide by 4.50 and then your finally answer will be 6.