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3 years ago

Write the domain as an inequality

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

4 0

Answer:

$x\leq 0$

Step-by-step explanation:

The domain is the span of x-values covered by the graph.

From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.

Therefore, the domain is all x-values less than or equal to 0:

$x\leq 0$

Further notes:

In interval notation, this is:

$(-\infty,0]$

Minchanka [31]3 years ago

3 0

Answer:

$\huge \boxed{x\geq 0}$

Step-by-step explanation:

The domain is all possible values for x or where the x values covers the graph.

All the values for x are less or equal to 0 as shown in the graph.

This can be written as an inequality:

$x\geq 0$

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Answer:

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3 years ago

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4 years ago

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REY [17]

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If $x= 10,$ $y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.$

If $x=11,$ $y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.$

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change $= \frac{y(x=11) - y(x=10)}{y(x=10)}.$

Substituting the values, we get

The percentage rate of change $=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%$ .

As the values of y decrease with an increase in x, it is the percent decrease per unit.

5 0

4 years ago

Read 2 more answers

Solve the following systems of 3-variable linear equations. 50 points

Natali [406]

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

7 0

3 years ago

Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth

Rudiy27

Answer:

Corresponding sides can be changed, yet they still have to be proportional. If they are congruent, then the triangles will be congruent.

The angles always have to be congruent however, or else the whole shape of the triangle will be changed and the triangle will not be similar.

Step-by-step explanation:

6 0

4 years ago

Write the domain as an inequality​

Write the domain as an inequality