30 apples bc 5x6 (5 six times) =30
No solutions beacause you have to factor out numbers for -9 but they must equal -8 when adding them.
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is ![5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5](https://tex.z-dn.net/?f=5%2B20%5Ctimes%20%282%29%5E%7B2-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D%2B5)
<h3>To find the value of x :</h3>
First solving the given equation we have,
![5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5](https://tex.z-dn.net/?f=5%2B20%5Ctimes%20%282%29%5E%7B2-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D%2B5)
![5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5](https://tex.z-dn.net/?f=5%2B20%5Ctimes%20%282%29%5E%7B2-3x%7D-5%3D10%5Ctimes%20%282%29%5E%7B-2x%7D%2B5-5)
![20\times (2)^{2-3x}=10\times (2)^{-2x}](https://tex.z-dn.net/?f=20%5Ctimes%20%282%29%5E%7B2-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D)
![20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}](https://tex.z-dn.net/?f=20%5Ctimes%20%282%29%5E2.%282%29%5E%7B-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D)
![20\times 4.(2)^{-3x}=10\times (2)^{-2x}](https://tex.z-dn.net/?f=20%5Ctimes%204.%282%29%5E%7B-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D)
![80(2)^{-3x}=10\times (2)^{-2x}](https://tex.z-dn.net/?f=80%282%29%5E%7B-3x%7D%3D10%5Ctimes%20%282%29%5E%7B-2x%7D)
![\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B10%7D%282%29%5E%7B-3x%7D%3D%5Cfrac%7B10%5Ctimes%20%282%29%5E%7B-2x%7D%7D%7B10%7D)
![8(2)^{-3x}=(2)^{-2x}](https://tex.z-dn.net/?f=8%282%29%5E%7B-3x%7D%3D%282%29%5E%7B-2x%7D)
![\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%282%29%5E%7B-3x%7D%7D%7B%282%29%5E%7B-2x%7D%7D%3D%5Cfrac%7B1%7D%7B8%7D)
( by using the property
)
( by using the property
)
![2^{-x}=\frac{1}{2^3}](https://tex.z-dn.net/?f=2%5E%7B-x%7D%3D%5Cfrac%7B1%7D%7B2%5E3%7D)
( by using the property
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Find the common denominator for both unlike fractions.
EX: 1 2
12 8
The lowest common factor is both fractions is 24. Multiply both denominators to get 24.
Do not forget to multiply the numerators with the number you used to multiply the denominators together.
You do not have to multiply each side by the same number.
Answer:
.
Step-by-step explanation:
The inverse is basically you just swapping x and y. People want to solve it for y to make it a function of x.
![y=4x](https://tex.z-dn.net/?f=y%3D4x)
Swap x and y:
![x=4y](https://tex.z-dn.net/?f=x%3D4y)
Now solve for y by dividing y on both sides:
![\frac{x}{4}=y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%3Dy)
![\frac{1}{4}x=y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3Dy)
.