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erma4kov [3.2K]
3 years ago
14

Solution to the compound inequality –6 ≤ 2 + 6 ≤ 6 -12≤x≤0 6≤x≤6 -6≤x≤0 0≤x≤6

Mathematics
1 answer:
Ket [755]3 years ago
5 0
-6 < = 2x + 6 < = 6....subtract 6 from all sections
-6 - 6 < = 2x + 6 - 6 < = 6 - 6...simplify
-12 < = 2x < = 0...divide all sections by 2
-12/2 < = (2/2)x < = 0/2....simplify
-6 < = x < = 0...by the way, I cant put the line under the inequality sign to show the equal sign...so I just put the = sign with the inequality sign
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Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.
Vsevolod [243]

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

                           y = 2x+1

so :5x+4 =2x+1

5x-2x=1-4

3x= -3      so : x= -1     but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2)  the system  is :     x + y = 4                                    

                                4x -y = 1

means :   y = - x+4    (line red)

               y= 4x-1     (line blue)  

graficly : intrsection is : (x,y) =(1 ,3 )

4 0
3 years ago
The area of a wetland drops by 1/4 every 8 years. What percent of its total area disappears after 40 years?
valentina_108 [34]
40÷8=5
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8 0
3 years ago
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IgorC [24]

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5 0
3 years ago
5x + 2y=7<br> - 2x + 6y=9
ollegr [7]

Answer:

x = \frac{12}{17} or 0.706

y = \frac{59}{34} or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

15x + 6y = 21  ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = \frac{12}{17}

put x = \frac{12}{17} in (eq 1)

5*\frac{12}{17} + 2y = 7

2y = 7- 5*\frac{12}{17}

2y = \frac{7*17 - 60}{17}

2y = \frac{119- 60}{17}

2y = \frac{59}{17}

y = \frac{59}{17*2}

y = \frac{59}{34}

6 0
3 years ago
-4<br>1.3 x 10 x 1.7 x 10<br>-3<br>x 10<br>Q2<br>[2]<br>Ed<br>9.​
Len [333]

Answer:

221

Step-by-step explanation:

use bidmas (brackets,indices, division,multiplication,addition,substraction)

3 0
3 years ago
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