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Nikitich [7]
3 years ago
10

A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th

e tournament:
Round (x) 1 2 3 4
Wrestlers f(x) 64 32 18 9


Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
55; there were 55 fewer wrestlers between rounds 1 and 4
3; there were 3 rounds between rounds 1 and 4
negative fifty five over three; on average, there were 55 fewer players for every 3 rounds
negative three over fifty five; on average, there were 3 fewer players for every 55 rounds
Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

Answer:

c

Step-by-step explanation:

AlladinOne [14]3 years ago
6 0
\bf \begin{array}{lllll}
round(x)&\boxed{1}&2&3&\boxed{4}\\\\
wrestlers[f(x)]&\boxed{64}&32&18&\boxed{9}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=   \qquad 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{9-64}{4-1}\implies \cfrac{-55}{3}

55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.
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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
RideAnS [48]
Well, first off, let's find what is the slope of BC

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
%   (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies  -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}

now, we know the slope "m" of AB is -2 then, thus

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
%   (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
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\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
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Fynjy0 [20]

Answer:

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Step-by-step explanation:

The given expression is , 5x² - 3xy .

We can clearly see that there are two terms in the expression , 5x² and 3xy .

<u>T</u><u>herefore </u><u>option </u><u>(</u><u>i)</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>

6 0
3 years ago
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vagabundo [1.1K]

Answer:

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Step-by-step explanation:

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2 years ago
In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18
Alborosie

Answer:

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Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

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Now we can solve the system of equations, using the value of N from the first equation in the second one:

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Now we find N:

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So we have that Nolan hitted 8 home runs.

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What is the absolute value of -62/3
Firlakuza [10]

Answer:

Step-by-step explanation:

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