All categories

3 years ago

-2x+2>3x-8 50 points

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Given:

The inequality is

$-2x+2>3x-8$

To find:

The solution of the given inequality.

Solution:

We have,

$-2x+2>3x-8$

Isolate the variables terms on the left side.

$-2x-3x>-2-8$

$-5x>-10$

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

$\dfrac{-5x}{-5}$

$x$

Therefore, the correct option is D.

You might be interested in

Given m|n, find the value of x.

Mice21 [21]

X=82

it adds up to 180 so (x+6)+(x+10)=180

7 0

3 years ago

Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality s

mamaluj [8]

Answer:

Step-by-step explanation:

5 0

3 years ago

The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation.

HACTEHA [7]

B is the right answer I just took it

3 0

4 years ago

Working together, two people can cut a large lawn in 4 hr. One person can do the job alone in 1 hr less than the other. How long

Goshia [24]

Answer:The faster person will do the job in 7.53hours

Step-by-step explanation:

Let t=faster person

Let t-1= the other person

The job to be done =1

Each person will do a fraction of the job

4/t+4/t-1=1

Multiply both sides wit t(t-1)

4(t+1)+4t=t(t-1)

4t+4+4t=t^2+t

8t+4=t^2+t

0=t^2+t-8t-4

t^2-7t-4=0

Use Almighty formular to solve d quadratic equation

X=-b+- rootb^2-4ac/2a

X=t,a=1,b=-7 c=4

Substituting the values you get:

t=-7 +- root 49+16/2

t=-7 +- root 65/2

t=7 +8.06/2=15.06/2

t=7.53 hours

7 0

3 years ago

I need help please!!!! Thank you :)

Likurg_2 [28]

Answer:

The correct options are: Option A, C and D

Step-by-step explanation:

We need to choose correct options by solving the given system of equations.

$3x+4y=18\\2x-2y=2$

Let:

$3x+4y=18--eq(1)\\2x-2y=2--eq(2)$

First Multiply equation 2 by 2 and add both equations.

$3x+4y=18\\4x-4y=4\\------\\7x=22\\x=\frac{22}{7}\\x=3.14$

Now, we will put value of x in equation 2 to find value of y

$2x-2y=2\\2(3.14)-2y=2\\6.28-2y=2\\-2y=2-6.28\\-2y=-4.28\\y=\frac{-4.28}{-2}\\y=2.14$

So, we get x = 3.14 and y = 2.14

Solution set is (3.14,2.14)

The given solution set (2,3) is not the solution of system of equations.

If we put x=2 and y =3 in the first equation:

$3x+4y=18\\3(2)+4(3)=18\\6+12=18\\18=18$

(2,3) when substituted in the First equation the equation is True.

If we put x=2 and y =3 in the second equation:

$2x-2y=2\\2(2)-2(3)=2\\4-6=2\\-2\neq 2$

So, (2,3) when substituted in the second equation the equation is false.

The correct options are: Option A, C and D

6 0

3 years ago