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djverab [1.8K]
3 years ago
11

Use > < or = to solve the inequality above.​

Mathematics
2 answers:
vitfil [10]3 years ago
7 0

Answer:

<h2 />

Step-by-step explanation:

One half is bigger

Nata [24]3 years ago
5 0

Answer:

4/5 > 1/2

Step-by-step explanation:

4/5 = 8/10

1/2 = 5/10

4/5 > 1/2

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The center of a hyperbola is (−4,3) , and one vertex is (−4,7) . The slope of one of the asymptotes is 2.
Monica [59]

Answer:

The answer to your question is below

Step-by-step explanation:

C (-4, 3)

V (-4, 7)

asymptotes = 2 = \frac{b}{a}

- This is a vertical hyperbola, the equation is

       \frac{(y - k)^{2} }{a^{2} } + \frac{(x - h)^{2} }{b^{2} } = 1

slope = 2

a is the distance from the center to the vertex = 4

b = 2(4) = 8

       \frac{(y - 3)^{2} }{4^{2} } + \frac{(x + 4)^{2} }{8^{2} } = 1

       \frac{(y - 3)^{2} }{16} + \frac{(x + 4)^{2} }{64} = 1

7 0
3 years ago
Read 2 more answers
A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 13 inches, 16 inches, and 18 inches. Is it a right triangle?
Rasek [7]
Not entirely, it could be an isoceles triangle (a triangle which all sides are different lengths) but there is still a possibility.
3 0
3 years ago
The number 0.14114111411114...is <br> 1) rational<br> 2) irrational
navik [9.2K]

Answer:

irrational

Step-by-step explanation:

It cannot be expressed as a fraction

4 0
3 years ago
Simplify the fraction 15/20
Bad White [126]

15/20

Figure out what number to use for simplify

Which is 5

Divide the numerator and denominator by 5

15/5=3

20/5=4

Answer:3/4

5 0
3 years ago
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