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The function for the value of the motorcycle after x years are;

y = 8000 - 500x

y = -500x + 8000

A function is a relationship between inputs where each input is related to exactly one output.

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have given that new motorcycle has a value of $8,000. Every year its value decreases by $500.

Now, we have y = amount of the motorcycle

x = number of years

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Thus,

y = 8000 - 500x

y = -500x + 8000

Learn more about functions here:

brainly.com/question/28533782

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Answer:

The sum of a rational number and an irrational number is irrational

Step-by-step explanation:

By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats. If you add a non-repeating, non-terminating decimal to a terminating decimal, you still have a non-repeating, non-terminating decimal. If you add a non-repeating, non-terminating decimal to a repeating decimal, you will no longer have a repeating decimal.

Example:

[tex]3+\sqrt{5} = 3+2.236067977...=5.236067977....[/tex]

Answer:

A lot

Step-by-step explanation:

A lot

Answer:

B

Step-by-step explanation:

21/8 = 2.6

2.6 = 3 rounded

1) to find perimeter we multiply length and breadth so to find breadth we divide the perimeter by the length. which means, 120 divided by 45 and its 62.5 so the answer for the 1st question is 62.5

2. if we multiply length with breadth to find perimeter, just like the first one we divide the perimeter by the breadth. which means, 250 divided by 50 and it will be 5

Answer:

$106.50

Step-by-step explanation:

Answer:it says that it was gruesum(i forgot how too spell it) yet beautiful.

Step-by-step explanation:

how is this  a mathematical question???

Answer:

The measure of the sum of interior angles of a 11-gon is [tex]1620^{o}[/tex].

Each interior angle is approximately [tex]147.273^{o}[/tex].

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than [tex]180^{o}[/tex].

But,

sum of interior angles of polygon = (n - 2) x [tex]180^{o}[/tex]

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x [tex]180^{o}[/tex]

                                         = 9 x [tex]180^{o}[/tex]

                                         = [tex]1620^{o}[/tex]

Sum of angles of a 11-gon = [tex]1620^{o}[/tex]

To check: convex polygons' interior angles are less than [tex]180^{o}[/tex].

so that,

each interior angle of 11-gon = [tex]\frac{1620}{11}[/tex]

                                        = [tex]147.273^{o}[/tex]

Answer: 19

Step-by-step explanation:

1) You combine like terms with all the angles

Ex. 2x + 15 + 9x - 3 + 77 + 8x + 8 + 13x + x - 4, which equals 33x + 93

2) You set up an equation using the formula for the sum of the interior angles

Ex. 33x + 93 = 180(n - 2)

3) Since a hexagon has 6 sides, n is 6

Ex. 33x + 93 = 180(6 - 2)

4) Solve like a regular equation

Ex. 33x + 93 = 180(6 - 2)

33x + 93 = 720

- 93 = - 93

33x = 627

- Divide 627 by 33

x = 19

Answer:

126 km/h

Step-by-step explanation:

Sorry if I'm wrong:/

Answer:

the value of a1 in a geometric series is 12 if i remember correctly.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since dividing any term by the previous term is constant this is a geometric sequence. In this case the common ratio is 18/6=54/18=3 and the first term a1=6

So a1=6 and r=3

Answer:

The area of the rectangle is 69 feet squared.

Step-by-step explanation:

Step-by-step explanation:

Let's think about how we can solve for ttt in the following equation:

\qquad 6t = 546t=546, t, equals, 54

We want to get ttt by itself on the left hand side of the equation. So, what can we do to undo multiplying by 6?

We should divide by 6 because the inverse operation of multiplication is division!

Here's how dividing by 6 on each side looks:

\begin{aligned} 6t &= 54 \\\\ \dfrac{6t}{\blueD{6}} &= \dfrac{54}{\blueD{ 6}}~~~~~~~~~~\small\gray{\text{Divide each side by six.}} \\\\ t &= \greenD{9}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}6t66tt=54=654          Divide each side by six.=9          Simplify.

Let's check our work.

It's always a good idea to check our solution in the original equation to make sure we didn't make any mistakes:

\qquad \begin{aligned} 6t &= 54 \\ 6 \cdot \greenD9 &\stackrel{\large?}{=} 54\\ 54 &= 54 \end{aligned}6t6⋅954=54=?54=54

Yes, t = \greenD{9}t=9t, equals, start color #1fab54, 9, end color #1fab54 is a solution!

Solving a division equation using inverse operations

Now, let's try to solve a slightly different type of equation:

\qquad \dfrac x5 = 75x=7start fraction, x, divided by, 5, end fraction, equals, 7

We want to get xxx by itself on the left hand side of the equation. So, what can we do to cancel out dividing by 5?

We can multiply by 5 because the inverse operation of division is multiplication!

Here's how multiplying by 5 on each side looks:

\begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac x5 \cdot \blueD{5} &= 7 \cdot \blueD{5}~~~~~~~~~~\small\gray{\text{Multiply each side by five.}} \\\\ x &= \greenD{35}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}5x5x⋅5x=7=7⋅5          Multiply each side by five.=35          Simplify.

Let's check our work.

\qquad \begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac{\greenD{35}}{5} &\stackrel{\large?}{=} 7\\\\ 7 &= 7 \end{aligned}5x5357

Answer:

WHAT THE #### WHAT IS THEIS

Step-by-step explanation:

Answer:

5.09

Step-by-step explanation:

your welcome...........

Answer:

Check pdf

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠5 + ∠4 = 180°

4x° + 2x° = 180°

6x° = 180°

x = 30

Answer:

Step-by-step explanation:

Given that:

Distance to friends's house = 1.8 miles

Time taken = 12 minutes

Since the rate is constant :

The rate Is related to distance and time :

The two variable equation which represents the equation is :

Speed = Distance / time

Answer:

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

Step-by-step explanation:

Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.

Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.

There are already 56 gallons of water in the tank, so b will be 56.

Plug in these values into the equation:

y = 8x + 56

So, the linear equation is y = 8x + 56

Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:

y = 8x + 56

y = 8(5) + 56

y = 40 + 56

y = 96

So, after 5 minutes, the volume of the water was 96 gallons

Answer:    0.25 as a decimal

Answer:

0.25

Step-by-step explanation:

You can think of fractions as smaller increments of money.

2/4=0.5

3/4=0.75

Bob has a dollar bill. He uses 1/4 of it to buy a coupon.

Imagine this happening:

1$

Uses 1/4

So... Let's look at what I've given you.

2/4=0.5

3/4=0.75

Well, let's stretch some things a liiiiitle bit.

Bob has a dollar bill blah blah...

We get to 1/4.

Le's make that 2/4.

2/4 is 0.5

So... By stretching the truth

We can infer that

If we put 1/4 back

(Oh no now the word problem creators are mad at me ;) lol)

Anyways, we can infer that by putting 1/4 back

That since 3/4 is 0.75

Then what's connected to 0.5 and 0.75?

The answer, my friend,

Is 0.25

Answer:

Step-by-step explanation:

Answer:

86π

Step-by-step explanation:

A=2πrh+2πr2

A=2π*16+2π*4*7

A=32π+54π

A=86π

Hope this helps :)

Answer:

The appropriate response is "0.9476".

Step-by-step explanation:

The given values are:

Standard deviation,

[tex]\sigma=1150[/tex]

Randomly selected railroad-car shipments,

n = 500

As we know,

⇒ [tex]\sigma \bar{x}=\frac{\sigma}{\sqrt{n} }[/tex]

On substituting the values, we get

⇒      [tex]=\frac{1150}{\sqrt{500} }[/tex]

then,

⇒      [tex]=P(-1.94<Z<1.94)[/tex]

⇒      [tex]=P(Z<1.94)-P(Z < -1.94)[/tex]

On using the table of P, we get

⇒      [tex]=0.9738 - 0.0262[/tex]

⇒      [tex]=0.9476[/tex]

Answer:

y=-2x+11

Step-by-step explanation:

Brainliest maybe?