Is 6.7234724… rational or irrational.

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer:

rational

Step-by-step explanation:

This could be written as a fraction

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It takes you 3 hours to drive to a concert 135 miles away. You drive 55 miles per hour on highways and 40 miles per hour on the

34kurt

Answer:

x + y = 3 (1)

55x + 40y = 135 (2)

Step-by-step explanation:

Since x to represent the number of hours driving on a highway and y to represent the number of hours driving on other roads and the total time for driving is 3 hours,

x + y = 3 (1)

Also, You drive 55 miles per hour on highways and 40 miles per hour on the rest of the roads, the distance moved on highways is 55x and the distance moved on the rest of the roads is 40y (since distance = speed × time).

Since the total distance moved is 135 miles, we have

55x + 40y = 135 (2)

So, the system of linear equations that represent the situation is

x + y = 3 (1)

55x + 40y = 135 (2)

3 0

3 years ago

Which choice is the solution to the inequality below?

irinina [24]

Option B:

The solution to the given inequality is x ≤ 8.

Solution:

Step 1: Given expression is the inequality.

9x ≤ 72

Step 2: To find the solution to the inequality:

9x ≤ 72

Step 3: Divide by 9 on both sides of the inequality.

$$\frac{9x}{9}\leq \frac{72}{9}$

Step 4: The solution is x ≤ 8

The solution to the given inequality is x ≤ 8.

Hence Option B is the correct answer.

4 0

4 years ago

How do i solve this question?

Andrews [41]

when it comes to checking if a function is even or odd, it boils down to changing the argument, namely x = -x, and if the resulting function is the same as the original, then is even, if the resulting function is the same as the original but negative, is odd, if neither, well then neither :).

anyway, that said, let's first expand it and then plug in -x,

$\bf f(x)=(x^2-8)^2\implies f(x)=(x^2-8)(x^2-8)\implies f(x)=\stackrel{FOIL}{x^4-16x^2+64}\\\\[-0.35em]~\dotfill\\\\f(-x)=(-x)^4-16(-x)^2+64\qquad \begin{cases}(-x)(-x)(-x)(-x)=x^4\\(-x)(-x)=x^2\end{cases}\\\\\\f(-x)=x^4-16x^2+64\impliedby \stackrel{\textit{same as the original}}{Even}$