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Allisa [31]
4 years ago
7

Which values are solutions to the inequality below? Check all that apply.

Mathematics
1 answer:
sp2606 [1]4 years ago
3 0
2 I think that is the answer
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I forgot how to do this so please help me.
Makovka662 [10]

Answer:

Draw a straight line that goes through the point (0,4) and (20,0)

Step-by-step explanation:

The y-intercept is equal to 4, since the function is already in y=mx+b form, where b is the y-intercept.

To find the x-intercept, we substitute 0 into y or in this case the f(x).

0 = -1/5 (x) + 4

1/5 x = 4

x = 20

The x-intercept is 20.

7 0
3 years ago
You roll a number cube. Determine the theoretical probability of rolling a 4 or a 6.
Dmitriy789 [7]

Answer:

Both of them would have a 1/6 chance of being chosen

Step-by-step explanation:

Sorry I don't know if this is the answer you are looking for :(

8 0
3 years ago
Read 2 more answers
Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0
drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations 2x+2y+z=- 2,-x-2y+2z=-5 and 2x+4y+z=0.

Step-by-step explanation:

The given is,

                          2x+2y+z=- 2.......................................(1)

                         -x-2y+2z=-5......................................(2)

                            2x+4y+z=0.........................................(3)

Step:1

           Equation (2) is multiplied by -1            ( Eqn(2) × -1 )

                                         x+2y-2z=5.............................(4)

          Subtract the equation (1) and (4)

                                        2x+2y+z=- 2

                                         x+2y-2z=5

                 ( - )

           (2x-x)+(2y-2y)+(z+2z)=(-2-5)

                                                  x+3z=-7......................(5)

Step:2

          Equation (2) is multiplied by -2                 ( Eqn(2) × -2)

                                        2x+4y-4z=10........................(6)

         Subtract equation (6) and (3),                  

                                        2x+4y-4z=10

                                         2x+4y+z=0

                   ( - )

       (2x-2x)+(4y-4y)+(-4z-z)= (10-0)

                                                     -5z=10

                                                         z = - \frac{10}{5}

                                                         z = -2

         From the equation (5),

                                                  x+3z=-7  

                                          x+(3)(-2)=-7

                                                           x = -7+6

                                                            x = -1

         From equation (1),

                                            2x+2y+z=- 2

          Substitute x and z values,

                               (2)(-1)+2y+(-2)=-2

                                                     2y - 4=2

                                                           2y=4-2

                                                           2y=2

                                                            y=\frac{2}{2}

                                                             y = 1

Step:3

                Check for solution,

                                  -x-2y+2z=-5

                Substitute x,y and z values,

               -(-1)-(2)(1)+(2)(-2)=-5

                                         1-2-4=-5

                                                    -5 = -5

Result:

              The values of (x,y,z) are (3,-1,-2) , if the given are equations 2x+2y+z=- 2,-x-2y+2z=-5 and 2x+4y+z=0.

8 0
4 years ago
Express each number as a quotient of two integer of 54
inysia [295]
  <span>There are many possibilities. For example 108/2, -108/-2, 162/3, -162/-3, 216/4, -216/-4, and so forth....</span>
6 0
3 years ago
Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He
kolbaska11 [484]

9514 1404 393

Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

__

Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

__

Henry started farther from town and traveled faster.

5 0
3 years ago
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