Answer:
B is the correct answer... 0.79
Step-by-step explanation:
You add the ones first and then move on to the tens and add. You get 0.79
Answer:
x < 1/2
Step-by-step explanation:
Distribute: -9x - 18 > 9x - 27
Collect like terms: -18x > -9
Divide both sides by -18: x < 1/2.
The sign changes because both sides were divided by a negative number.
Answer:
h. x=8
Step-by-step explanation:
![2x-7=3^2](https://tex.z-dn.net/?f=2x-7%3D3%5E2)
Step 1) Square the 3
![2x-7=9](https://tex.z-dn.net/?f=2x-7%3D9)
2) Add 7 to both sides
![2x-7(+7)=9(+7)](https://tex.z-dn.net/?f=2x-7%28%2B7%29%3D9%28%2B7%29)
![2x=16](https://tex.z-dn.net/?f=2x%3D16)
3) Divide both sides by 2
![\frac{2x}{2} =\frac{16}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3D%5Cfrac%7B16%7D%7B2%7D)
![x=8](https://tex.z-dn.net/?f=x%3D8)
<u>Given</u>:
The given expression is ![(2^3)(2^{-4})](https://tex.z-dn.net/?f=%282%5E3%29%282%5E%7B-4%7D%29)
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by
![(2^3)(2^{-4})](https://tex.z-dn.net/?f=%282%5E3%29%282%5E%7B-4%7D%29)
Applying the exponent rule that
in the above expression, we get;
![2^{3} \cdot 2^{-4}=2^{3-4}](https://tex.z-dn.net/?f=2%5E%7B3%7D%20%5Ccdot%202%5E%7B-4%7D%3D2%5E%7B3-4%7D)
Adding the exponents, we get;
![2^{3} \cdot 2^{-4}=2^{-1}](https://tex.z-dn.net/?f=2%5E%7B3%7D%20%5Ccdot%202%5E%7B-4%7D%3D2%5E%7B-1%7D)
Again, applying the exponent rule
, we get;
![2^{3} \cdot 2^{-4}=\frac{1}{2}](https://tex.z-dn.net/?f=2%5E%7B3%7D%20%5Ccdot%202%5E%7B-4%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Thus, the simplified expression is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
Answer:
C
Step-by-step explanation:
If you used the inequality in C, b being able to be as high as -23, it would make 72 is greater than or equal to 72, which is true.