All categories

2 years ago

For what values of x is the inequality 2/3 + x/3 >1 true?

Mathematics

1 answer:

Travka [436]2 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{2}{3}$ + $\frac{x}{3}$ > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

You might be interested in

Which can have multiple values for a set of numbers?

kolbaska11 [484]

Answer:

mode which is c

Step-by-step explanation:

6 0

2 years ago

If x/y + y/x = -1 , find the value of x^3 - y^3

marin [14]

Answer:

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

7 0

2 years ago

A High School soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on the

finlep [7]

Answer: The coordinate are

( 5 , 2.5 )

Distance = 5

Step-by-step explanation:

The coordinates of the rest stop will be the mid point between the high school is at point (3, 4) and the stadium in Columbus at point (7, 1).

Mid point = (X1 +X2)/2 , (Y1+Y2)/2

(3+7)/2 , (4+1)/2 = ( 5 , 2.5 )

The approximate distance between the high school and the stadium will be

D^2 = (7-3)^2 +( 4-1)^2

Where D = distance

D^2 = 4^2 + 3^2

D = 5

4 0

3 years ago

A line with a slope of -2/5 that passes through the point (-10,8)

slamgirl [31]

Step-by-step explanation:

$m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)$

$y-y_1=m(x-x_1)$

Plug in the values into the equation

$y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\$

$y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\$

$y = - \frac{2}{3} x + \frac{4}{3}$

To solve for x-intercept , Arrange the values in

$ax + by + c = 0$

$- \frac{2}{3} x - y + \frac{4}{3} = 0$

To find x-intercept .let y = 0 in the above equation

$- \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\$

$- \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3}$

Solve for x ;

$x = 2$

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

7 0

3 years ago

Read 2 more answers

Which statment explains how the lines x+y=2 and y=x+4 are related?

Nata [24]

Answer:

they are perpendicular

Step-by-step explanation :

<u>If you graph both equations you will see that they Intersect with each other.</u><u> </u>

3 0

2 years ago