Answer:
Step-by-step explanation:
a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) are different, the y-intercepts for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts (0,0) for g(x) as shown on the graph.
b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0
The area is 14. your welcome
Statement 1 : Gail bought a $45 sweater at 1/3 off.
<u>Discount in Sweater Purchase:</u>
![\frac{1}{3} \; of \; 45 = \frac{1}{3} \times 45 \; = \;\frac{45}{3} =\$15](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5C%3B%20of%20%5C%3B%2045%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%2045%20%5C%3B%20%3D%20%5C%3B%5Cfrac%7B45%7D%7B3%7D%20%3D%5C%2415%20%20%20%20)
Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.
Discount in Suit Purchase:
![12\% \; of \; 140 =\frac{12}{100} \times 140 = 0.12 \times 140 = \$16.8](https://tex.z-dn.net/?f=%2012%5C%25%20%5C%3B%20of%20%5C%3B%20140%20%3D%5Cfrac%7B12%7D%7B100%7D%20%20%5Ctimes%20%20140%20%3D%200.12%20%5Ctimes%20140%20%3D%20%5C%2416.8%20)
Conclusion:
<u>Discount in Suit Purchase ($16.8) is greater than Discount in Sweater Purchase ($15)</u>
Answer:
Two isosceles right triangles.
and ![p_{3'} = (7,-2)](https://tex.z-dn.net/?f=p_%7B3%27%7D%20%3D%20%287%2C-2%29)
Step-by-step explanation:
The length of one side is:
![l_{1} = \sqrt{[-1 - (-1)]^{2}+[6 - (-2)]^{2}}](https://tex.z-dn.net/?f=l_%7B1%7D%20%3D%20%5Csqrt%7B%5B-1%20-%20%28-1%29%5D%5E%7B2%7D%2B%5B6%20-%20%28-2%29%5D%5E%7B2%7D%7D)
![l_{1} = 8](https://tex.z-dn.net/?f=l_%7B1%7D%20%3D%208)
An isosceles right has two sides of identical length, which are both legs and perpendicular to each other. There are two possibilities:
![p_{3} = (-1 - 8, -2)](https://tex.z-dn.net/?f=p_%7B3%7D%20%3D%20%28-1%20-%208%2C%20-2%29)
![p_{3} = (-9,-2)](https://tex.z-dn.net/?f=p_%7B3%7D%20%3D%20%28-9%2C-2%29)
![p_{3'} = (-1 + 8, -2)](https://tex.z-dn.net/?f=p_%7B3%27%7D%20%3D%20%28-1%20%2B%208%2C%20-2%29)
![p_{3'} = (7,-2)](https://tex.z-dn.net/?f=p_%7B3%27%7D%20%3D%20%287%2C-2%29)
Answer:
80% of the students would vote for Tammy
Step-by-step explanation:
Since a Kimberly took a sample of 30 students from the school and it was found that 24 students said they would vote for Tammy. To determine Kimberly's best estimate of the number of students in the school who would vote for Tammy, we divide the number of students that said they would vote for tammy by the total number of student sample.
number of students who would vote for Tammy = students who said would vote for sammy / number of sample = 24 / 30 = 4/5 = 80%