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natita [175]
2 years ago
15

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

s of n?
Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

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A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar
ololo11 [35]

Answer:

1) Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = 4/20

2) Find the probability that a chosen book is hard-covered. P(H) =  11/20

3) Calculate the conditional probability. = 4/11

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

1.) 4/20

2.) 11/20

3.) 4/11

7 0
2 years ago
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Hiromi sells 12 T-shirts each week at a price of $13.00. Past sales have shown that for every $0.25 decrease in price, 4 more T-
Lerok [7]
(13-0.25x4)(12+4x4)=2,464
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4 0
2 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
1 year ago
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Answer:

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The answer is negative 5

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