Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answer:

slope = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].

Final Answer:

[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]

The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

[tex]\rule{350}{2}[/tex]

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

here u go

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Answer:

5x-4y=0

Step-by-step explanation:

[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]

Answer:

[tex]\sqrt{40}[/tex]

Step-by-step explanation:

If we draw a right triangle, it would have legs 6 and 2.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

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Answer:

The 9th term of the sequence is:

Step-by-step explanation:

Given the sequence

1, 4/3,16/9

computing the ratios of all the adjacent terms

[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]r=\frac{4}{3}[/tex]

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

As

so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]

Now, substitute n = 9 to determine the 9th term

[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]

[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]

[tex]a_9=\frac{4^8}{3^8}[/tex]

[tex]a_9=\frac{65536}{6561}[/tex]

Therefore, the 9th term of the sequence is:

Answer:

B = 2x/y - 1 is your answer

Step-by-step explanation:

Answer:

b= y-2x

Solve for b by simplifying both sides of the equation then isolating the variable.

Answer:

560 cubes

Step-by-step explanation:

width: 8 cubes

length: 10 cubes

height: 7 cubes

volume: 8*10*7=560

divided l, w, and h by 1/3 to get them in cubes

Answer:

Step-by-step explanation:

The awnser is multiply by 9 then multiply by 2

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

Answer:

$6100.80

Step-by-step explanation:

Answer: it soo blurry I did not see it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Like I said it is either A or B

Answer[tex]Answer is A[/tex]: A      28/2

Step-by-step explanation: Took the test.

I'm sure it's scatter plot b

Answer:

-12 is the answer.

Step-by-step explanation:

-12 - (-5) = -7

The two negative one right after another turns into a plus, or +.

-12 + 5 = -7

Think of 5 positive things and -12 negative things.

O O O O O

P  P  P  P  P  P  P  P  P  P  P  P

5 of the positive things will cancel out 5 of the negative things, leaving behind 7 negative things.

#teamtrees #WAP (Water And Plant)

Answer:

nopw

Step-by-step explanation:

Answer:

B, H

Step-by-step explanation:

The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30

Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.

Answer:

B and H are the correct answers

Answer:

the probability is one in 6

Step-by-step explanation:

there are 6 sides on a basic die and so the only number higher than 5 is 6. you have a 1/6 chance.

Answer:

6

Step-by-step explanation:

18 divided by 3 equals 6.

Answer:

6

Step-by-step explanation:

18 ÷ y

18 ÷ 3 ^ Substitute 3 in for y, as y equals 3.

6 ^ Divide.

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

Answer:

2,-1

Step-by-step explanation:

You read the X axis first then the Y axis

Answer:

The correct answer is 60!

Step-by-step explanation:

Remember, 3/4 is 0.75.

75/100 = 3/4

45/60= 3/4

The equation explains that 75/100 is a fraction that it equal to 3/4, which is 0.75 as a decimal. 60 is the digit that is the denominator to 45, getting 3/4, or 0.75 also. So the width of the 11-14 year-old soccer field is 60 yards.

The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Since we know that 75 by 100 is three-fourth

And, 45 by 60 is also  three-fourth

Also, there is field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide.

So based on this, The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Learn more about width here: https://brainly.com/question/19461476