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labwork [276]
3 years ago
14

Graph the solution if the this inequality 4/9x-10>x/3-12

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10

... 1/9x > -2 . . . . . . collect terms

Now, you can multiply by 9 to see the condition on x.

... 9(1/9x) > -2(9)

... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

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Help me please!!!!!!
Leokris [45]

Answer:

Both figures have a perimeter of 112 inches.

Step-by-step explanation:

Question 5:

You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.

This means the perimeter is:

P=(31 \times 2)+(25 \times 2)\\P=62+50\\P=112

Question 6:

Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.

Therefore, the perimeter will again be 112 inches.

These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.

3 0
3 years ago
What is the ratio? (In the picture)​
AleksandrR [38]
A) 8:5
since you know that there’s 14 total flowers and five of them are roses making the rest of the flowers daisies
b)14:8
3 0
2 years ago
X+5-8x=26<br> Solve for x
salantis [7]
X = -3 

Pull out the like terms: -7x - 21 = -7 × ( x + 3) 

Solve: -7 = 0 

Solve: x + 3 = 0

Subtract 3 from both sides of the equation 

So, x = -3
 
5 0
3 years ago
Read 2 more answers
A mother has two apples, three pears, and four oranges. She plans to give her son one piece of fruit every morning for nine days
Olin [163]

Answer:

Umm nine ways?

Step-by-step explanation:

5 0
2 years ago
Is (3,4) a solution to the system of<br> equations. <br> X + y = 7<br> x - 2y = - 5
Anuta_ua [19.1K]

Answer: Yes, the point (3,4) is a solution to the system.

===================================================

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

8 0
3 years ago
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