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azamat
3 years ago
5

Could 14 inches, 13 inches, and 16 inches be the dimension of a triangle? Explain your answer.

Mathematics
2 answers:
nika2105 [10]3 years ago
6 0
The angles would be different

Dafna11 [192]3 years ago
6 0
14+13>16 √
13+16>14 √
14+16>13 √
If each pair of possible sides is greater than the third side than the lengths can form a triangle.
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Which statement best describes g(x) = 3x + 6 - 8 and the parent function f(x) = } ?
kumpel [21]

Answer:

In general gf(x) is not equal to fg(x)

Some pairs of functions cannot be composed. Some pairs of functions can be composed only  for certain values of x.

Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.

Step-by-step explanation:

g(x) = 3x + 6 - 8, f(x) = √x.

The domain of a composed function is either the same as the domain of the first function, or  else lies inside it

The range of a composed function is either the same as the range of the second function, or else lies inside it.

Or vice versa

Now only positive numbers, or zero, have real square roots. So g is defined only for numbers

greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or

equal to zero. You can work out that

f(x) ≥ 0 only when x ≥3/2

.

3 0
3 years ago
A sample of students that had stuffy or runny noses were blindly given a single Skittles candy to put in their mouth. They were
Korvikt [17]

Answer:

The confidence interval is  0.2857<  p <  0.4601

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  118  

   The  number that gave the correct answer is  k =  44

Generally the sample proportion is mathematically represented as

      \^ p = \frac{44}{118}

=>     \^ p =0.3729

Generally given that the confidence level is  95% the level of significance is mathematically represented as

       \alpha  =  (100 -95) \%

=>     \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }

=>   E =  1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }

=>    E = 0.0872

Generally 95% confidence interval is mathematically represented as  

             \r p -E <  p <  \r p +E

=>    0.3729 -0.0872<  p <  0.3729 +0.0872

=>  0.2857<  p <  0.4601

5 0
3 years ago
Quick algebra problem, please show work!
cricket20 [7]
5/x^2-1^2 + 3/x+1
5/(x+1)(x-1) + 3/x+1
5+3(x-1)/(x+1)(x-1)
5+3x-3/(x+1)(x-1)
Final answer : 3x+2/(x+1)(x-1)
5 0
3 years ago
Mr Ruiz drove 305 miles in 5 hours on Saturday and 190 miles in 4 hours on Sunday what is his average speed in miles per hour fo
Snezhnost [94]

Add the mileage together to find total miles.

Add the hours together.

Divide total miles by total hours.

305 + 190 = 495 miles

5 + 4 = 9 hours.

495 / 9 = 55 miles per hour.

The average speed was 55 miles per hour.

4 0
3 years ago
Which equation shows function notation for a vertical stretch of factor 2 and shift right 5 units? *
liubo4ka [24]

Answer: I am doing an giveaway for and iphone 11 pro max (black)

Step-by-step explanation: first person who message me gets it be the first

7 0
3 years ago
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