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3 years ago

Which of the following is a rational number? (4 points)

Mathematics

2 answers:

abruzzese [7]3 years ago

8 0

Step-by-step explanation:

square root 15 = irrational

square root 16 = 4 = rational

square root 21 = irrational

square root 22 = irrational

valkas [14]3 years ago

4 0

Answer:

The correct answer is the square root of 16.

Step-by-step explanation:

The square root of 16 is 4, which is a whole number. Whole numbers are rational.

This eliminates the rest of the answers, but the square root of 15 has an infinite decimal, as well as the square root of 21 and 22.

Hope this helps! :)

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There are 156 sixth graders and 7 sixth grade teachers.There are 120 fifth graders and 5 fifth grade teachers.Which grade has lo

Katen [24]

Fifth grade has 24 students per each teacher.
Sixth grade has about 23 students per teacher.

Sixth grade is lower.

4 0

3 years ago

Read 2 more answers

You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa

Crazy boy [7]

Answer:

Part A) see the explanation

Part B) $C(12)=\$54$

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form $k=\frac{C}{x}$ or $C=kx$

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B) we know that

The linear equation is given by

$C=kx$

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

$k=\$4.50\ per\ book$

$C=4.50x$

For x=12 books

substitute in the equation and solve for C

$C=4.50(12)=\$54$

In function notation

$C(12)=\$54$

5 0

3 years ago

3(2x + 6) = 2(4x – 5)

maxonik [38]

Answer:

x = 14

....................

6 0

3 years ago

Find an equation for the line that passes through the points (1, -1) and (-3, 1).

saul85 [17]

Answer:

Step-by-step explanation:

Equation of line is y = mx + c

where m is the slope

c is the y intercept

Slope of the line using points

(1, -1) and (-3, 1) is

$m = \frac{1 + 1}{ - 3 - 1} = - \frac{2}{4} = - \frac{1}{2}$

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

$y + 1 = - \frac{1}{2} (x - 1) \\ y + 1 = - \frac{1}{2} x + \frac{1}{2} \\ y = - \frac{ 1}{2} x + \frac{1}{2} - 1 \\ y = - \frac{1}{2} x - \frac{1}{2}$

Hope this helps you.

3 0

3 years ago

The graph of the function F(x) = 2x^2-8 is changed. The new graph can be

vova2212 [387]

Answer:

The graph now opens in the opposite direction. The y intercept is shifted up 4.

Step-by-step explanation:

F(x) = 2x^2-8

F(X)= -2x^2-4

We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)

We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.

Attacthed is both of the equations graphed to help you visualize this shift!

6 0

3 years ago