After the expression is simplified as much as possible, x is raised to what exponent?

What are two rational numbers between -3/4 and -2/3

Vadim26 [7]

The two rational numbers between $- \frac{3}{4}$ and $- \frac{2}{3}$ is $- \frac{32}{48}$ , $- \frac{36}{48}$

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

$- \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12}$

again multiply -9/12 with 4 both numerator and denominator

$- \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48}$

now multiply -2/3 with 4 both numerator and denominator

$- \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12}$

again multiply -8/12 with 4 both numerator and denominator

$- \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48}$

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

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8 0

1 year ago

1. How far does a car travel if it's 16-inch wheel rotates 3 times?<br><br><br>HELP!

Nataly_w [17]

$\textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=16 \end{cases}\implies C=16\pi \implies \stackrel{\textit{3 times that much}}{C=48\pi \implies} C\approx \underset{inches}{150.8}$

6 0

2 years ago

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$