Let
x--------> the amount of gummy candy in pounds
y--------> the amount of jelly beans in pounds
z--------> the amount of hard candy in pounds
we know that
--------> equation 
--------> equation 
--------> equation 
Substitute equation in equation and equation
![[2y]+y+z=9](https://tex.z-dn.net/?f=%5B2y%5D%2By%2Bz%3D9)
-----> 
------> equation 
![2[2y]+3y+3z=23](https://tex.z-dn.net/?f=2%5B2y%5D%2B3y%2B3z%3D23)
-----> 
------> equation 
using a graphing tool ------> Solve the system of equations
see the attached figure
the solution is the point 
<u>Find the value of x</u>
therefore
<u>the answer is</u>
the amount of gummy candy is 
the amount of jelly beans is 
the amount of hard candy is 
Option B is correct.
Step-by-step explanation:
We need to solve: ![\sqrt[3]{x^2}\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D)
We know that: ![\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%5Csqrt%5Bb%5D%7Bx%7D%20%3D%5Csqrt%5Bn%2Ab%5D%7Bx.x%7D%3D%20%5Csqrt%5Bn%2Ab%5D%7Bx%5E2%7D)
Applying the above rule:
![\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D%5C%5C%3D%5Csqrt%5B3%2A4%5D%7Bx%5E2.x%5E3%7D%5C%5C%3D%5Csqrt%5B12%5D%7Bx%5E5%7D)
So, Option B is correct.
Keywords: Solving with Exponents
Learn more about Solving with Exponents at:
#learnwithBrainly
We are given D (7, -3) and D'(2, 5).
SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5
Answer: D (x-5, y+8) → D'
Answer:x=90° y=58° z=32°
Step-by-step explanation:
x=90
y=180-(90+32) sum of angles in a triangle is 180
y=58
y+90+z=180 they are supplementary
58+90+z=180
148+z=180
z=180-148
z=32
