4926.25965251
I used a calculator because it makes solving this much easier
D. F(x)=x^2. That’s The quadratic parent function
Answer: 5<x<9
Step-by-step explanation:
Graph is from 5 to 9, not including 5 and 9. Let's say x is all the values from 5 to 9, not including 5 and 9.
So, answer is 5<x<9
First, let's convert all of these numbers to decimal form:
(This will make it much easier to compare.)
- 0.6, - 0.625, - 0.4117, - 0.72
Now we can list them from least to greatest!
-0.4117, - 0.6, -0.625, -0.72
And don't forget to convert the selective decimals that we converted earlier back into fractions!
Therefore, the final list would be:
- 7/17, - 0.6, - 5/8, - 0.72
Hope this helps!
Answer:
(a) 144
(b) 117
(c) 360
(d) 588
(e) 5472
Step-by-step explanation:
To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.
2.
(a)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![144 = 2^4 \times 3^2](https://tex.z-dn.net/?f=144%20%3D%202%5E4%20%5Ctimes%203%5E2)
![LCM = 2^4 \times 3^2 = 8 \times 9 = 144](https://tex.z-dn.net/?f=LCM%20%3D%202%5E4%20%5Ctimes%203%5E2%20%3D%208%20%5Ctimes%209%20%3D%20144)
(b)
![39 = 3 \times 13](https://tex.z-dn.net/?f=39%20%3D%203%20%5Ctimes%2013)
![117 = 3^2 \times 13](https://tex.z-dn.net/?f=117%20%3D%203%5E2%20%5Ctimes%2013)
![LCM = 3^2 \times 13 = 117](https://tex.z-dn.net/?f=LCM%20%3D%203%5E2%20%5Ctimes%2013%20%3D%20117)
(c)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![90 = 2 \times 3^2 \times 5](https://tex.z-dn.net/?f=90%20%3D%202%20%5Ctimes%203%5E2%20%5Ctimes%205)
![LCM = 2^3 \times 3^2 \times 5 = 360](https://tex.z-dn.net/?f=LCM%20%3D%202%5E3%20%5Ctimes%203%5E2%20%5Ctimes%205%20%3D%20360)
(d)
![84 = 2^2 \times 3 \times 7](https://tex.z-dn.net/?f=84%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207)
![147 = 3 \times 7^2](https://tex.z-dn.net/?f=147%20%3D%203%20%5Ctimes%207%5E2)
![LCM = 2^2 \times 3 \times 7^2 = 588](https://tex.z-dn.net/?f=LCM%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207%5E2%20%3D%20588)
(e)
![152 = 2^3 \times 19](https://tex.z-dn.net/?f=152%20%3D%202%5E3%20%5Ctimes%2019)
![288 = 2^5 \times 3^2](https://tex.z-dn.net/?f=288%20%3D%202%5E5%20%5Ctimes%203%5E2)
![LCM = 2^5 \times 3^2 \times 19 = 5472](https://tex.z-dn.net/?f=LCM%20%3D%202%5E5%20%5Ctimes%203%5E2%20%5Ctimes%2019%20%3D%205472)