Helpppppp!!!!!!!! On part A and B plzzzz
2 answers:
Answer:
<u>Skills needed: Quadratic Graphing</u>
Step-by-step explanation:
1) We need to first understand what the vertex is. In a parabola, the vertex is either the highest or lowest point. If the parabola is like a mountain (with the peak at the top), then it is the highest point. If the parabola is like a valley (with a divot like point at the lowest part), then the vertex is the lowest point.
---> On the graph in the picture, it is like a mountain.
- This mean it is the highest point for this graph.
The highest point would be (0.5, 9), as to the left of that point it goes down, and also to the right of the point it starts going down.
(0.5, 9) is the vertex.
2) The axis-of-symmetry is always the x-axis value of the vertex when given a parabola. This is basically the x-axis value for which the equation can be folded over with symmetry.
---> Axis of symmetry here is 0.5
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Keywords:
<em>System of equations, variables, hardcover version, paperback version, books </em>
For this case we must construct a system of two equations with two variables. Let "h" be the number of hardcover version books, and let "p" be the number of paperback version books. If the hardcover version of a book weighs 7 ounces and the paperback version weighs 5 ounces, to reach a total of 249 ounces we have:
(1)
On the other hand, if there are Forty-five copies of the book then:
(2)
If from (2) we clear the number of books paperback version we have:
As each paperback version book weighs 5 ounces, to obtain the total weight of the paperback version books, represented by "x" in the table shown, we multiply
So,
Answer:
Option D
Answer:
The inequality that represents the age of the group, "x", is:
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:
While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:
In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:
Answer:
The probability is
Step-by-step explanation:
The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.
If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.
In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).
Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :
We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.
The probability is