Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
![8-3\sqrt[5]{x^3}=-7](https://tex.z-dn.net/?f=8-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-7)
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
![-3\sqrt[5]{x^3}=-15](https://tex.z-dn.net/?f=-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-15)
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
![\sqrt[5]{x^3}=5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3D5)
Let's rewrite that radical into exponential form:
If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:
On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
![x=\sqrt[3]{5^5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E5%7D)
Let's group that radicad into groups of 3's now to make the simplifying easier:
![x=\sqrt[3]{5^3*5^2}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E3%2A5%5E2%7D)
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
![x=5\sqrt[3]{5^2}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B5%5E2%7D)
which is the same as:
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
Your answer would be 4.23 as the answer will be a long one, estimated.
I believe that x=20 from the math i did hopefully its helpful.
<span>c. –17.9+(–4.2)
</span><span><span>The General rule for adding and subtracting numbers </span><span>
1. Two integers with the same signs
Once 2 integers has the same sign, then just add the numbers.
For example</span>
<span>1. 1+1 = 2 </span>
<span>2. 2 + 5 = 7 </span><span>
2. Two integers with different signs
<span>When 2 integers has different sign, then find the difference
For example
1. 1-1 =0</span></span>
<span>2. 2 – 5 = -3 </span><span>
3. Two integers that vary in sign
<span>When 2 integers vary in sign, then it will depend who which number carries the largest value
For example</span></span> <span><span>
1. </span>-3 + 2 = -1</span>
<span><span>2. </span>2 – 1 = 1</span><span> </span></span>
