Answer: Vertex = (0, 3) 2nd point = (1, 2)
<u>Step-by-step explanation:</u>
f(x) = -x² + 3 → f(x) = a(x - 0)² + 3
If you use transformations with the parent graph f(x) = x², the transformation is reflected over the x-axis and shifted 3 units up.
If you use the vertex formula: f(x) = a(x - h)² + k
- the vertex is (0, 3) ← PLOT THIS COORDINATE
- "a" is negative, so the parabola points downward
This equation does not factor over the rational numbers, so find a second point by choosing an x-value and plugging it into the given equation to solve for y. <em>I chose x = 1</em>
f(1) = -(1)² + 3
= -1 + 3
= 2
So, an additional point is (1, 2) ← PLOT THIS COORDINATE
1) Since there are 16 ounces in a pound you multiply 16 by the number of pounds. So 6x16=96 then add the extra ounces and your answer is 100 oz.
2) Seth finished faster because she finished in 24 second, since there are 3 feet per yard, you multiply 3x200=600, then, you divide 600 feet by 25 feet and you get 24. So Seth finished in 24 seconds
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
Solution:-
- Denote the number of boys going on trip, B = 65
- Denote the number of boys going on trip, G = 95
- The total of T = 160 students are going on the trip.
- We are to randomly select a representative sample from the population of students with T = 160 students in total.
- The proportion of boys population ( p ) among the total population can be determined:
p = B / T
p = 65 / 160
p = 0.40625
- The proportion of girls population ( q ) among the total population can be determined:
q = G / T
q = 95 / 160
q = 0.59375
- For us to select a representative group of sample size ( n ) from the population of 160 student. The possibility of finding a girl on that representative group is q = 59.4 % while the possibility of finding a boy on that representative group is p = 40.6 %.
Answer: We are likely to see more girls as part of the representative group as compared to boys.