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vfiekz [6]
4 years ago
8

At a yearly basketball tournament, 84 different teams complete, after each round of the tournament, one-fourth of the team remai

n.
Create a function which models the above scenario and explain how you arrived at each part of the function
Mathematics
1 answer:
Mariana [72]4 years ago
6 0

Answer:

84*(1/4)^x

Step-by-step explanation:

84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).

So, if you wanted to see if the amount of teams after three rounds you would do:

84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.

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The sum of a number and its additive inverse is equal to _____.
prohojiy [21]
The sum of a number and its additive inverse is equal to zero. The correct option among all the options that are given in the question is the second option or option "b". If we assume "x" to be a real number, then its additive inverse is "-x". On adding these two, we can see that the result comes to zero. 
7 0
4 years ago
Help, &gt; &lt; or =?<br><br><br> |-6| ? 4
Damm [24]

Answer:

>

Step-by-step explanation:

Because |-6| = 6

and 6 is greater than 4

8 0
3 years ago
Which graph represents f(x) =|x − 5| + |x − 4|?
Dima020 [189]

The correct graph is graph 4. 


You can find this by looking for recognizable points. This is the easiest way to find composite graphs. In the graph f(x) =|x − 5| + |x − 4| both 5 and 4 yield the answer of 1. You can see that in the examples below:


<span>f(x) =|x − 5| + |x − 4|
</span><span>f(5) =|5 − 5| + |5 − 4|
</span><span>f(5) =|0| + |1|
f(5) = 0 + 1
f(5) = 1

</span><span>f(x) =|x − 5| + |x − 4|
</span><span>f(4) =|4 − 5| + |4 − 4|
</span><span>f(4) =|-1| + |0|
f(4) = 1 + 0
f(4) = 1

Now we can look for graphs that have those two reference points. The 4th graph is the only one that has those. </span>
7 0
3 years ago
Read 2 more answers
I need HELP ASAP!!! EXPLAIN PROBLEM
viktelen [127]

Answer:

9.4 cm^3

Step-by-step explanation:

This figure is a cylinder so the formula is V=πr^2h

r is the radius and h is the height

Here we can see the height is 3 and the radius is 1

V=π(1)^2(3)

V=π3

V=9.42 (assuming π is 3.14)

Rounded to the nearest tenth is 9.4

5 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?
bogdanovich [222]

Answer:

Seven-thirds

Step-by-step explanation:

The give equation is f(x)=9x^8+9x^6-12x+7.

The leading coefficient is 9

The constant term is 7

According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.

Base on this theorem, \frac{7}{3} or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.

5 0
4 years ago
Read 2 more answers
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