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maria [59]
1 year ago
9

This question has two parts. Be sure to answer both parts of the question. One inequality in a system is shown below. -12x + 3y

> 9 PART A. Create another inequality so the system has no solution.PART B. Create another inequality so the system has infinite solutions.
Mathematics
1 answer:
fgiga [73]1 year ago
7 0

The inequality is -12x + 3y > 9.

PART A:

The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.

Thus inequality for no solution is, -12x + 3y < 9.

PART B:

For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,

\begin{gathered} (-12x+3y>9)\times-1 \\ 12x-3y

Thus inequality for infinite many solution is 12x - 3y < -9.

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Answer:

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Step-by-step explanation:

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6 0
1 year ago
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
2 years ago
The base of a right rectangular prism is 20 cm2. If the height of the prism is 5 cm, what is its volume?
tekilochka [14]
General formula to find volume of prism
v = base area × height

Input the numbers to the formula
v = base area × height
v = 20 × 5
v = 100

The volume is 100 cm³
6 0
3 years ago
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Z ⊂ Q ⊂ Q ' <br> true or false
gavmur [86]
The answer is so false
3 0
1 year ago
Anyone wanna help a high school student out?
qwelly [4]
The answer is B, because all 4 sides should be equal on a rhombus.
7 0
3 years ago
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