A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .

The independent variable is the _____________?

The dependent variable is the ______________?

Answers

Answer 1

Answer:

The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .

The Independent variable is the numbers of months after the first year .

The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).

If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.

If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .

Step-by-step explanation:

Hope this helps you !!

Related Questions

How do I find the domain and range of this?

Answers

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

How many degrees in 0.375
of a full turn?

Answers

Answer:

  135°

Step-by-step explanation:

A full turn is 360°, so 0.375 of a full turn is ...

  0.375 × 360° = 135° . . . . degrees in 3/8 turn

WILL GIVE BRAINLIEST!!
What are values of a and b so the system of equations shown has no solutions?

y=7x+b
y=ax+4

Answers

Answer: a is 7 b is 4

Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution

A=7 and b= anything other than 4. The reason for this is because the lines must never touch (equal slope with different y intercept provides a parallel line that does not meet the original function). A solution is a point in which the two functions intersect. The other answer under this post is incorrect, as they have actually given you INFINITE solutions rather than none.

1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )

Answers

Answer:

1). 4x - (2x - 15)

        => 4x - 2x + 15

        => 2x + 15

2). -8 + 9x (-4 + 12x)

        => -8 - 36x + 108x²

3). 15 - 14 (1 + 4x)

        => 15 - 14 - 56x

        => 1 - 56x

Step-by-step explanation:

Hoped this helped.

Answer:

[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]

Apply Distributive property:

[tex]\sf 4x-2x+15[/tex]

Combine like terms:

[tex]\boxed{\sf 2x+15}[/tex]

_____________

[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]

Apply Distributive property:

[tex]\boxed{\sf -8-36x+108x^2d}[/tex]

_______________

[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]

Apply Distributive property:

[tex]\sf 15-14-56x[/tex]

Subtract numbers:

[tex]\boxed{\sf 1-56x}[/tex]

_______________________________________

PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST

Answers

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

Find g (x), where g(x) is the reflection across the x-axis of f(x) = 7 [x+2]-6

Answers

Answer:
I’m pretty sure it’s g(x) = 7|x-2| -6
Hope this helps!

Determine whether the relation is a function. (8, 5), (6, "-2)," (4,-9), (2, "-6)," (4,7)
Yes Or No

Answers

Answer: No

Step-by-step explanation:

Because 4 is used 2 times in the x coordinates it is NOT a function

Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151

What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179

Answers

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

if f(x) = 3x - 1 and g(x) = x + 2, find (f-g)(x).​

Answers

Answer:

f(x+2)=3x+5

Step-by-step explanation: hope this helps, love. have a good day

Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1

Answers

Answer:

yes, it a solution

Step-by-step explanation:

what is equivalent to
−−(2+5)−(3−7)?

Answers

Answer: [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex]etc

Step-by-step explanation: -(2 + 5) - (3 - 7) = -3  To turn -3 to a fraction put 1 as it's denominator so it's [tex]\frac{-3}{1\\}[/tex]. [tex]\frac{-3}{1}[/tex] 's equivalent frations are [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex] and etc.

someone help me please

Answers

Answer:

8

Step-by-step explanation:

Basically insert 18 where the X is and go from there!

2/3 (18) - 4

2/3 × 18 = 12

12 - 4 = 8

PROVE: BD is congruent to BE. Provide steps and reasons.

Answers

Answer:

It is congruent

Step-by-step explanation:

Because AB and BC are congruent, having DE bisect them

directly in the middle creates equal lines of BD and BE.

which one is a function quick

Answers

Answer:

Table be is the only function. Table A has -5 as an x value two times.

Step-by-step explanation:

Find the midpoint of PQ

Answers

Answer:

?? ?? ?? ?? ?? ?? ?? ?? ?? ??

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

4:6 = 2:3, the answer is C

Step-by-step explanation:

they visited 4 museums as displayed on the bar and 6 beaches also presented on the bar, which would mean 4:6 and would simplify to 2:3

In the ratio of 3:3:2, three sisters invested a total of 54,000 pesos to a store. Find the share of the second sister in the investment.

Answers

Answer:

20, 250

Step-by-step explanation:

3:3:2

u will first need to find the addition of all the ratio and divide each ratio by the sum

3+3+2=8

the u will; 3/8×54000=20,250

3/8×54000=20,250

2/8×54000=13500

y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation

Answers

Answer:

(3,3)

Step-by-step explanation:

To find the y - value that corresponds to x=3 , substitute the x - value in the equation.

y=4x-9

y=4*3-9

y=12-9

y=3

Therefore, (3/3) is the solution to the equation.

I hope it helps.

Answer:3,3

Step-by-step explanation: bc khan

What's the answer please help me!

Answers

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

For a friend who's struggling


"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.

Will give brainliest!

Answers

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Can someone Please help me on this math problem

Answers

Answer:

2

Step-by-step explanation:

each time that x gains 1, y gains 2

2/1=2

Given: AC = 4DC, BC = 4EC
Prove: A = D​

Answers

Two triangles that are proportional to each other and have the same angle are similar.

Write an equation in slope-intercept form of the line that passes through the given points. (0,6) and (-5, "-1)"

Answers

Math grade 10 is hard

PLSSSS HELP I WILL GIVE BRAINLIEST

Which statements are true about the ordered pair (7, 19) and the system of equations?

{2x−y=−5x+3y=22


Select each correct answer.


The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (7, 19) is a solution to the system because it makes both equations true.

Answers

Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.

2(7)-19=-5

-5=-5

7+3(19)=22

64 doesn't =22

SO, one part of the equation is wrong making the ordered pair wrong.

Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:

Answers

the first one ((x+8, y+2), r x-axis)

PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS

I really need help don’t answer if your not giving the correct answer don’t respond

Answers

Answer:

pretty sure its A

Step-by-step explanation:

HELP! I need answers to every question

Answers

Ok done. Thank to me:>

Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.

Work out Regan's average speed for the last 48 miles.

Answers

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

solve the following equation ​

Answers

Answer:

x=1 x=-11

Step-by-step explanation:

first you need to find what two numbers add together to make 10x and multiply together to make 25-

this would be 5

so we can rewrite it as (x+5)(x+5) = 36

which is the same thing as (x+5)^2 =36

then taking the root of both sides we get (x+5)= plus or minus 6

so x=-11 or x equals 1

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