The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
the power of x. The straight line f of x joins ordered pairs negative 4, 3 and negative 2, negative 1 and is extended on both sides. The straight line p of x joins the ordered pairs 0, 2 and negative 1, negative 3 and is extended on both sides. Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points) (10 points)
1 answer:
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We have 11 members at the city council meeting, 4 voted in favour of a budget increase.
The possible groups of council members who could have voted in favour can be found using the combination formula which is used when we want to group items, in this case, we are grouping people.
Here is the formula;
Where n = Total members on the city council = 11
and r = members that voted in favour = 4
We will then solve this to be
This implies that there are 330 possible groups of council members who could have voted in favour.
ANSWER: 330
