5x+12z Because you take, 3z+9z and that is equivalent to 12z. and then you put the 5x back into the equation so it is 5x+12z
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)
Answer:
Part A:
We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D
Therefore:
E = D + 3
Part B:
We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D
Therefore:
F = D - 5
Part C:
To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A
Therefore:
E - F = (D+3) - (D-5)
E - F = D + 3 - D + 5
E - F = 8
Hope this helps :)
Step-by-step explanation:
<u>Answer:</u>
<h2>(4, 6)</h2>
<u>Explanation:</u>
x = -4 + (12 - (-4))/2
x = -4 + (12+4)/2
x = -4 + 16/2
x = -4 + 8
x = 4
y = 2 + (10 - 2)/2
y = 2 + 8/2
y = 2 + 4
y = 6
the coordinates of the center of the circle: (4, 6)
Answer:
We just figure out what 3/4 of 20 is and it is 15 so 15 pens!
Step-by-step explanation:
