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alexdok [17]
2 years ago
6

Which is the graph of linear inequality x – 2y ≥ –12?

Mathematics
1 answer:
galben [10]2 years ago
4 0

Answer:

option D

Step-by-step explanation:

x-2y≥-12

-2y≥-x-12

y≤0.5x+6

has to be a solid line since y is less than or equal to 0.5x+6

so, options 1 and 3 are not applicable

also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)

so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer

I attached a file of this inequality's graph to prove my answer once more

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-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
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2 years ago
Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.
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X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

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x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

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5 0
2 years ago
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A veterinarian needs to know an animal's weight in kilograms.If 20 pounds is about 9 kilograms and dog weighs 30 pounds,use a ra
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Answer:

Using the ratio table the dogs weight is:

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Step-by-step explanation:

For this case we have the following conversion:

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To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

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Answer:

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f(x) = Two-thirds (three-halves) Superscript x

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Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

  • Growth function : If b > 1,
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Since, In

f(x) =\frac{2}{3}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

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Thus, it is a growth function.

in f(x) =\frac{2}{3}(\frac{3}{2})^x

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