Three quantities x,y and z are connected so that x varies directly as z and inversely as the square root of y.If x=6 when z=12 a
2 answers:
Answer:
The expression for x in terms of y and z is x = or x =
Step-by-step explanation:
The relationship between x, y and z can be expressed as;
x α
x = C × , where C is a constant of proportionality
Now, given the values of x, y and z, we can have that;
6 = C ×
6 = C ×
C = 6 × = 2.5 or
Putting the value of C in the equation, we have;
x = or
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Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,
As they played 2 games with every other participant in the tournament.
So the total number of games is,
But it is given to be 20, so
As , so we get n=5.
Therefore, 5 players participated in the tournament.
Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function
Use the distributive property to multiply the expression
For a function of the form the x coordinate of the vertex is:
Then in this case the coordinate of the vertex is:
To obtain the y coordinate of the vertex we evaluate the function at
Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for and
The correct answers are:
Second option
Third option
Fourth option