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Ierofanga [76]
3 years ago
10

Select the function that's represented in the graph. Question 5 options: A) ƒ(x) = x2 – 3 B) ƒ(x) = –1∕2x2 – 3 C) ƒ(x) = –x2 – 3

D) ƒ(x) = 1∕2x2 – 3

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

a)

Step-by-step explanation:

hello,

because of the end behaviour the constant in  x^2 should be positive so we have a) or d)

f(0)=-3 in both cases

for A) f(x)=

x^2-3=(x-\sqrt{3})(x+\sqrt{3})

so f(x)=0 for x=\sqrt{3} \ or \  x = -\sqrt{3}

so the correct answer is A)

hope this helps

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Express the following equation in slope intercept form: 8x-2y=10<br> PLEESSSSSSSSSSSSSE
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5 0
3 years ago
A standard roll of toilet paper is 304 feet long. If Bob walks at a steady rate of five feet per second, how much time does it t
PtichkaEL [24]

Answer:

1.01 minutes

Step-by-step explanation:

The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.

Velocity is defined as the rate of change of displacement over time t:

v=d/t\\

The function can be expressed to make t the subject to calculate time taken by Bob;

v=d/t\\\therefore t=d/v, d=304, v=5\\\\t=\frac{304}{5}\times \frac{1}{60}\ min\\\\t=1.01 \ min

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6 0
3 years ago
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
2 years ago
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