Answer:
Step-by-step explanation:
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
How many different committees can be formed from 8 teachers and 48 students if the committee consists of 3 teachers and 4 stude
2 answers:
Since we don't care about the order in which we select people, we will use the combinatoric approach, rather than permutations.
Since we want to select 3 teachers from a total of 8, this is the notation to select 3 teachers from 8 (objects).
Teachers :
Similarly, students :
Now, since we want both at the same time, we will need to multiply both to yield your final answer:
different ways.
Since we want to select 3 teachers from a total of 8, this is the notation to select 3 teachers from 8 (objects).
Teachers :
Similarly, students :
Now, since we want both at the same time, we will need to multiply both to yield your final answer:
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The equation of a line starting from two points is:
From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:
From this you get the equation of your line:
From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:
From this you get the equation of your line:
The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,
So, by moving the term -3x^3+20 to the left hand side, we have
Then, in order to solve this equation, we can apply the quadratic formula
In our case, a=5, b=-3 and c=-30. So we get
which gives
By substituting these points into one of the functions, we have
and
Then, by rounding these numbers to the nearest tenth, we have the following points:
Therefore, the answer is the last option