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monitta
3 years ago
5

Write a sentence that compares the value of the 9s in 199,204.

Mathematics
1 answer:
elixir [45]3 years ago
4 0
The nine in the ten thousands place is greater than the nine in the thousands place.
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In relation t a functions? Is the inverse of relation t function
frozen [14]

Answer:

Relation t is a function. The inverse of relation t is not a function ⇒ 3rd

Step-by-step explanation:

* Lets explain how to solve the problem

- A relation is a set of inputs and outputs, and a function is a relation

 with one output for each input

- Ex: T = {(1 , 2) , (3 , 5) , (-4 , 0)} is a function because every input has

  only one output

- To find the inverse of a function we switched the input and the

  out put

- The inverse of a function may not always be a function

* Lets solve the problem

∵ The relation t is the set of ordered pairs of x and y

  x = 0     2      4    6

  y = -8    -7    -4    -4

∵ x = 0 has only y = -8

∵ x = 2 has only y = -7

∵ x = 4 has only y = -4

∵ x = 6 has only y = -4

∴ Every value of x has only one value of y

∴ Relation t is a function

* Lets find its inverse by switching x and y

∵ The inverse function of t is :

   x = -8     -7     -4    -4

   y =  0      2      4     6

∵ x = -8 has only y = 0

∵ x = -7 has only y = 2

∵ x = -4 has y = 4 and y = 6

∴ Not every value of x has only one value of y

∴ The inverse of relation t is not a function

* Relation t is a function. The inverse of relation t is not a function

4 0
3 years ago
The table of values represents an exponential function f(x).
Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

\dfrac{f(b)-f(a)}{b-a}

Given interval:  -2 ≤ x ≤ 2

\implies a = -2

\implies b = 2

\implies f(a) = f(-2)=16

\implies f(b) =f(2)= \dfrac{1}{16}

Substituting the values into the equation:

\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}

7 0
2 years ago
In the coordinate plane, what is the length of the line segment that connects points at (0,-1) and (-7, -2)?
lilavasa [31]

Answer:100cm

Step-by-step explanation:

8 0
3 years ago
Solve for x<br> 9 - x &lt; 17<br><br> btw the &lt; has the line underneath it!
Radda [10]

Answer:

Step-by-step explanation:

9 - x ≤17

At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.

We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.

Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.

9 - x ≤ 17                        Add x to both sides

9 - x+x ≤ 17 + x              Combine

9 ≤ 17 + x                      Subtract 17 from both sides.

9 - 17 ≤ 17 - 17 + x

8 ≤ x

Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.

7 0
3 years ago
In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest
balandron [24]

Answer:

715 pounds

Step-by-step explanation:

<em>FV = solve</em>

<em>PV = 600</em>

<em>I% = 6</em>

<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)

Plug it in:

<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

<em>Therefore, the fee in 2016 is 715 pounds.</em>

6 0
3 years ago
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