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inysia [295]
3 years ago
9

Which is irrational?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

  (b)  √5

Step-by-step explanation:

The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...

The integer 5 is not on that list, so its square root will be irrational.

  √5 is irrational

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The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl
Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

f(x)=\frac{1}{2}x+\frac{3}{2}

Option 1

f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}

          =-\frac{1}{4}+\frac{3}{2}

          =-\frac{1}{4}+1+\frac{1}{2}

          =1+\frac{1}{4}

          =1\frac{1}{4}

So, f(-\frac{1}{2} )=-2 is false.

Option 2

f(0) = \frac{1}{2}(0)+\frac{3}{2}

     = \frac{3}{2}

True.

Option 3

f(1) = \frac{1}{2}(1)+\frac{3}{2}

    = \frac{3+1}{2}

    = 2

Therefore, f(1) = -1 is false.

Option 4

f(2)=\frac{1}{2}(2)+\frac{3}{2}

       =1+1+\frac{1}{2}

       =2\frac{1}{2}

Therefore, f(2) = 1 is false.

Option 5

f(4) =\frac{1}{2}(4)+\frac{3}{2}

     =2+\frac{3}{2}

     =\frac{4+3}{2}

     =\frac{7}{2}

True.

Options (1) and (5) are the correct options.

5 0
3 years ago
If you wanted to estimate the mean height of all students at a university, which of the following sampling strategies would be b
xenn [34]

Answer:

c.

Step-by-step explanation:

Hello!

To take a sample to estimate the mean height of all students at a university and that the value you reach is statistically valid you need the sampling method to be random and representative of the whole population, in this example, all university students.

a. Measure the heights of 50 students found in the gym during basketball intramurals.

This method is not the best because you would be sampling only basketball players leaving all other students of the university outside, i.e. your sample will not be representative of all the students, just the ones that play basketball.

b. Measure the heights of all engineering majors.

This method is not good, the sample only represents engineering mayors meaning that it does not include the students of any other subjects.

c. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.

With this method you choose students regardless of the sport or major they're are taking, it is more representative of the population of university students, of the three options, this is the best one.

I hope it helps!

4 0
3 years ago
If I had 3000 pennies and my mom took away 1000 pennies how many are left
pishuonlain [190]

Subtract 3000-1000

took away means subtracting

left means how many are remaining

3000-1000= 2000

Answer:

2000 pennies

7 0
3 years ago
Read 2 more answers
Someone please help me answer this
Brrunno [24]
B= 30
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30
8 0
3 years ago
Read 2 more answers
HURRY PLEASE
Delicious77 [7]

Answer:

Infinite solutions

Step-by-step explanation:

2x−7y=12 (1)

−x+3.5y=−6 (2)

(2) x = 3.5y + 6

(1) 2(3.5y+6) - 7y = 12

7y + 12 - 7y = 12

12 = 12 (a true statement)

Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.

One of the solutions:

(6,0)

8 0
3 years ago
Read 2 more answers
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