X= -10
Y=7
Y=1/5X+9
Y=1/5 •(-10)+9
Y= -10/5 + 9
Y= -2+9
7=7
Y= -1/2 • (-10) +2
Y= 10/2 +2
Y=5+2
7=7
Yes
Answer: X = -4, X = 2
Step-by-step explanation:
On the graph, the line touches the x axis on -4 and 2, therefore, those are the answers.
![5N^2=2^2 \times 5^{7} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B7%7D%20%5Ctimes%20x%5E%7B8%7D)
Solution:
Given a number N in product of its prime factors.
![N=2 \times 5^{3} \times x^{4}](https://tex.z-dn.net/?f=N%3D2%20%5Ctimes%205%5E%7B3%7D%20%5Ctimes%20x%5E%7B4%7D)
Now, express
as a product of prime factors in index form.
Substitute
in place of N.
![5N^2=5\times(2 \times 5^{3} \times x^{4})^2](https://tex.z-dn.net/?f=5N%5E2%3D5%5Ctimes%282%20%5Ctimes%205%5E%7B3%7D%20%5Ctimes%20x%5E%7B4%7D%29%5E2)
Use exponential rule: ![\left(a^{m}\right)^{n}=a^{m n}](https://tex.z-dn.net/?f=%5Cleft%28a%5E%7Bm%7D%5Cright%29%5E%7Bn%7D%3Da%5E%7Bm%20n%7D)
Multiply the power 2 into the powers of factors of every number in the bracket.
![5N^2=5\times2^2 \times 5^{6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D5%5Ctimes2%5E2%20%5Ctimes%205%5E%7B6%7D%20%5Ctimes%20x%5E%7B8%7D)
Arrange like terms together.
![5N^2=2^2 \times 5\times 5^{6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5Ctimes%205%5E%7B6%7D%20%5Ctimes%20x%5E%7B8%7D)
Use exponential rule: ![a^{m} \times a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%20%5Ctimes%20a%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
![5N^2=2^2 \times 5^{1+6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B1%2B6%7D%20%5Ctimes%20x%5E%7B8%7D)
![5N^2=2^2 \times 5^{7} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B7%7D%20%5Ctimes%20x%5E%7B8%7D)
Hence
.
Answer:
a) All the phones produced during the day in question.
Step-by-step explanation:
In statistics, the Population is all the objects with the same characteristics in which we have an interest in doing an experiment or statistical analysis. Sometimes to make it more simple, we take just a sample of the population and we do the experiments with them, and then the answers are used to all of the objects.
In this case, they want to analyze all the cellphones but they only take a few to do it. So the answer is a) All the phones produced during the day in question.
B. 32.5%, you divide 52 by 160 and you get 32.5