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4 years ago

Is 3.8 rational or irrational

Mathematics

2 answers:

Lunna [17]4 years ago

6 0

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Lorico [155]4 years ago

6 0

Answer:

its rational

Step-by-step explanation:

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Jade ran 6 times around her neighborhood to complete a total of 1 mile. How many times will she need to run to complete 5/6 of m

svetlana [45]

Set up a proportion where number of times is on top and miles is on bottom:
6/1 = x/(5/6)
Cross-multiply:
6*(5/6) = 1*x
5 = x
She must run 5 times around her neighborhood.

7 0

3 years ago

What is the domain and range of <br> f(x)=2x^2+6x+2

lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0

3 years ago

The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(

g100num [7]

Answer:

Given: The transformation g(x) =6f(x) ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

$g(x) = 6 \cdot 8 =48$

Similarly,

For x= -3 , f(x) = 3, then

By substituting the value of f(x) = 3 in [1] we have

$g(x) = 6 \cdot 3 =18$

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

$g(x) = 6 \cdot -1 =-6$

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

$g(x) = 6 \cdot 7=42$

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

$g(x) = 6 \cdot 5=30$

Therefore ; we have the corresponding values of g(x) as shown below;

x f(x) g(x)

-7 8 48

-3 3 18

0 -1 -6

2 7 42

10 5 30

5 0

4 years ago

Read 2 more answers

Let f(x)=1/x and g(x)=x^2-2. What is (fog)(-3)?

Elenna [48]

Answer:

Its value is 1/7.

I hope this will help you.

3 0

4 years ago

A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.

GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: $A(x) = x^2$ but we aim to find $\frac{dA}{dt}$ . But we can use the chain rule to pull out that dA/dt. Doing so gives us:

$\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.$

Now, $\frac{dA}{dx} = 2x$ (by the power rule and $\frac{dx}{dt} = 3.$

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

$\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.$

7 0

4 years ago