Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation left 4 units and down 2 units of the graph of f.
Write the equation for g in the form y = ax2 + bx + c.

Answers

Answer 1

f(x) = x^2

write new equation after translation using vertex form;

(x+4)^2 - 2

simplify; convert to standard form

(x+4)(x+4) - 2

x^2 + 8x - 2

Answer 2

The function after translation is g(x) = x²+ 8x - 2.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

f(x) = x²

Now, g is a translation left 4 units and down 2 units of the graph of f.

So, g(x)= (x+4)² - 2

Then, in the standard form

g(x) = (x+4)(x+4) - 2

g(x) = x²+ 8x - 2

Hence, the function is g(x) = x²+ 8x - 2.

Learn more about Transformation here:

https://brainly.com/question/11709244

#SPJ2


Related Questions

A cyclist's speed is 1.5 times faster than a walker's. starting at the same point, after 1.5 hours, they were 12.5 miles apart. what were both of their speeds?

Answers

The speed of the cyclist and the walker is 25 miles per hour and 16.67 miles per hour, respectively.

Speed describes how fast an object moves. It can be measured as distance over time.

speed = distance / time

Let x be the speed of the walker and 1.5x is the speed of the cyclist.

If they start "moving simultaneously in the same direction" from the same point and, after 1.5 hours, the distance between them is 12.5 miles, then

distance traveled by cyclist = distance traveled by the walker + 12.5 miles

cyclist's speed(time) = walker's speed(time) + 12.5

1.5x(1.5 hours) = x(1.5 hours) + 12.5

2.25x - 1.5x = 12.5

x = 50/3

walker's speed = 50/3 or 16.67miles per hour

cyclist's speed = 1.5(50/3)

cyclist's speed = 25 miles per hour

Learn more about speed here: https://brainly.com/question/14355448

#SPJ4

Julian is making potato salad for his family picnic. At the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. If each type of potato cost $0.90 per pound, how many total pounds of potatoes does he buy

Answers

Answer:

11.4 pounds

Step-by-step explanation:

Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5.

Answers

Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5 is given by 24 = 10.5 + x/4.5

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

What is quotient?

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number. As a general rule, the smaller the divisor (denominator) of an expression, the larger would be the quotient.

In order to translate this word problem, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let n represent the unknown number.

Translating the word problem into an algebraic equation, we have;

24 = 10.5 + x/4.5

Read more on quotient here: brainly.com/question/748723

#SPJ1

Find the distance between the two points in simplest radical form.

Answers

The distance between the two points is 13 unit.

What is triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

Given that,

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is d² = 12² +5² = 144 +25 = 169

d = √169 = 13

The distance between the two points is 13 unit

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

Therefore, distance between the two points is 13 unit.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ9

1. $20 haircut; 10% tip

Answers

10% of 20 is 2, so a 10% tip of a $20 haircut is $2.

A solid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 ft and an area of 8 ft2. angle acb measures 30°. a solid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 feet and an area of 8 feet squared. point a is the apex and point c is the center of the hexagon. line a b shows the vertical height of the pyramid. triangle a b c is a right triangle with base length of 7 startroot 3 endroot feet. what is the volume of the pyramid, to the nearest cubic foot? 5 ft3 9 ft3 14 ft3 19 ft3

Answers

The volume of the Oblique pyramid is 19 [tex]ft^{2}[/tex]

We know, the volume of a pyramid is [tex]\frac{1}{2}[/tex] × B × h

where B is the area of the base and h is the height of the pyramid.

Given:  The pentagonal base has an edge length of 2.16 ft and an area of 8 [tex]ft^{2}[/tex] and angle ACB measures 30°.

Consider triangle ACB

tan30° = [tex]\frac{AB}{CB}[/tex]

[tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\frac{AB}{7\sqrt{3} }[/tex]

AB = 0.58 × [tex]7\sqrt{3}[/tex]

AB = 0.58 × 12.12

AB = 7.03

Now, the volume of the oblique pyramid will be

V = [tex]\frac{1}{2}[/tex] × 8 × 7.03

V = 18.75

V ≈ 19 [tex]ft^{2}[/tex]

Refer to the complete question given below.

Know more about Volume of Pyramid: https://brainly.com/question/10509885

#SPJ9

Answer:19

Step-by-step explanation:

Super Confused I don’t know what to do right now

Answers

Answer:

p=+/- 5/3 or

p =+/- 1 2/3  or

p = +/- 1.66666667

Step-by-step explanation:

Equation

What you have is a quadratic. I am taking the 9 to be a 9 and not a q. So the equation, as I read it, is

9p^2 - 9 = 16                   Add 9 to both sides of the equation

Solution

-9+9 + 9p^2 = 16 +9        Combine

9p^2 = 25                        Divide by 9

9 p^2 /9 = 25/9               Combine

√p^2 = √(25/9)               Take the Square Root of both sides.

p = +/- 5/3

What is 183 divided by 13

Answers

Answer:

14.077 appr. 14.1

Step-by-step explanation:

183/13=

18÷13=1 remainder 5

53÷13=4 remainder 1

therefore the answer is 14.1

PLEASE MARK BRAINLEST

14.1 because you divide 182 by 13

Determine the solution for 0.3(6y + 15) = 1.8y + 4.5. A y=2.5 B y=4.9 C infinite solutions D no Solutions

Answers

Answer:

C) infinite solutions

Step-by-step explanation: hope this helps have an amazing rest of ur day <3 ^ ^ :>

Any value of y makes the equation true. All real numbers Interval Notation: (−∞,∞)

The equation given has no solution because they will cancel out each other.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation is;

0.3(6y + 15) = 1.8y + 4.5.

Solving for the variable y;

0.3(6y + 15) = 1.8y + 4.5

Open the bracket;

1.8y + 4.5 = 1.8y + 4.5

Here we can conclude that the equation given has no solution because they will cancel out each other.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

x = ____ ( look at photo)

Answers

all triangles add up to 180°
so you know x-50°+95°+45° = 180°
this can be simplified to x - 50° + 140° = 180
you can then take away 140 from both sides leaving you with
x - 50° = 40°
you can then add 50° to both sides to get x = 90°
you can check this afterwards by doing
90 - 50 = 40
then 40 + 95 + 45 = 180

ANSWER = 90°


If an airplane rises at a rate of 42 meters per second, how high will it be flying after 3 minutes?

Answers

Answer:

7560 meters

Step-by-step explanation:

42 meters a second -> 2520 meters a minute -> 7560 meters for 3 minutes

Answer:

The airplane will be 7560 meters after three minutes of flying.

Step-by-step explanation:

one minute= sixty seconds

42*1800=7560

3*60=1800

Not sure if I did the math right but I'm positive I got the right answer.

the schools newspaper staff is selling cookies to raise money for the next school year. the first student who sells 252 boxes earns a laptop. eva sells on average 7 boxes per hour, while Sylvia sells on average 3 boxes every 30 minutes. How much time, in hours, will pass until at least one of the students sells enough boxes to earn a laptop?

A.) 10
B.) 15
C.) 23
D.) 36
E.) 42

Answers

D. 36
252 divided by 7

what is the length of the course from point A to point W?

Answers

The length of the course is 480 m.

Length is used to measure distance. According to the International System of Quantities, length has the dimension of distance. In most measurement systems, length is represented by a base unit from which all other units are derived. The International System of Units (SI) system's fundamental unit of length is the meter.

Nevertheless, depending on the item's position, this is not always the case. A fixed object's length is commonly understood to be its greatest extended dimension.The length of a fixed object is referred to by a number of names, including height, also referred to as vertical length or vertical extension, and width, breadth, or depth.

From the given figure we can infer that W is the mid-point of AB. Therefore we know that AW = WB

Now the distance is given by

5x -110 = 2x +100

or, 5x - 2x = 100 + 110

or, 3x = 210

or, x = 70

Therefore total length = 5x -110 + 2x +100 = 7x - 10 = 490 - 10 = 480 m

Therefore the length is 480 m.

To learn more about length visit:

https://brainly.com/question/8552546

#SPJ1

The truth table represents statements p, q, and r. p q r A T T T B T T F C T F T D T F F E F T T F F T F G F F T H F F F Which statements are true for rows A and E? Select two options. p ↔ q q ↔ p q ↔ r r ↔ p r ↔ q

Answers

For the truth, table represented the statements that are true for rows A and E are

p ↔ qq ↔ r

This is further explained below.

What is a truth table?

Generally, A truth table is a mathematical table that is used in logic, more specifically in linkage with Boolean algebra, boolean functions, and propositional calculus.

It is used to set out the design strength of logical gestures on each of their functional arguments, such that, for each combination of numbers taken by their logical variables.

A truth table is also known as a truth matrix.

Read more about the truth table

https://brainly.com/question/17259890

#SPJ1

CQ in the correct order is given below

Could someone help me with this?

Answers

When the person picks 170 beads, the number of red beads will be 57.

How to calculate the value?

It should be noted that based on the information, the following can be deduced:

Number of red beads = 139

Number of yellow beads = 167

Number of green beads = 107

Total number of beads = 139 + 167 + 107 = 413

Therefore, when one selects 170 beads, the number of red beads will be:

= Number of red beads / Total number × 170

= 139 / 413 × 170

= 57

Learn more about numbers on:

brainly.com/question/11418015

#SPJ1

Solve for x in the equation below 3(x-5)=5x-(3-x)

Answers

Answer:

x = -4

Step-by-step explanation:

3(x-5) becomes 3x-15

5x-(3-x) becomes 6x-3

3x - 15 = 6x - 3

    + 15        + 15

3x = 6x + 12

-6x  -6x

-3x = 12

    divide -3 on both sides

X = - 4

Answer:

x = -4.

Step-by-step explanation:

3(x-5) = 5x-(3-x)

3x - 15 = 5x - 3 + x

3x - 5x - x = -3 + 15

-3x = 12

x = -4.

f(t) = -3t+4
f( )=19

Answers

Answer:

-5

Step-by-step explanation:

[tex]-3t+4=19 \\ \\ -3t=15 \\ \\ t=-5[/tex]

1 find the slope of the slope of the line

2 write an wquation for the like

3 what is the value of a

4 what is the value of b​

Answers

Answer:

1. Slope= 2

2. [tex] \frac{b - 2}{4 - 2} = 2[/tex] or [tex] \frac{8 - 2}{a - 2} = 2[/tex]

3. a= 5

4. b= 6

Step-by-step explanation:

The slope of a straight line between any two points of the line would be the same. This means that calculating the slope of the line using point (2, 2) and (6, 10) would give us the same slope value when calculating with points (4, b) and (6, 10) for example.

Formula

[tex]\boxed{\text{slope} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Q1. Since we two pairs of known coordinates, let's make use of them in the slope calculation.

Slope of line

[tex] = \frac{10 - 2}{6 - 2} [/tex]

[tex] = \frac{8}{4} [/tex]

= 2

Q2-4. Since in the subsequent parts we will eventually have to find the value of a and b, let's form an equation for each of them.

Slope between (2, 2) and (4, b)= slope between (2, 2) and (6, 10)

[tex] \frac{b - 2}{4 - 2} = 2[/tex]

[tex] \frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2:

b -2= 2(2)

b -2= 4

b= 4 +2

b= 6

Using (2, 2) and (a, 8):

[tex] \frac{8 - 2}{a - 2} = 2[/tex]

Multiply both sides by (a -2):

6= 2(a -2)

Expand:

6= 2a -4

Add 4 to both sides:

2a= 10

Divide both sides by 2:

a= 10 ÷2

a= 5

To learn more about slope, check out: https://brainly.com/question/14548961

i need help with this, thanks

Answers

Answer:

151, 29, 151

Step-by-step explanation:

[tex]m\angle 2=29^{\circ}[/tex] (vertical angles)

[tex]m\angle 1=m\angle 3=151^{\circ}[/tex] (linear pair)

Answer:

[tex]m \angle 1= \boxed{151}\;^{\circ}\\\\m \angle 2= \boxed{29}\;^{\circ}\\\\m \angle 3= \boxed{151}\;^{\circ}[/tex]

Step-by-step explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 29° = 180°

⇒ m∠3 = 151°

Vertical Angle Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Applying the Vertical Angle Theorem:

m∠2 = m∠4 = 29°m∠1 = m∠3 = 151°

Which value is a zero of the function f(x) = x³ − 5x² − 8x + 12?
1 )-1
2)2
3)6
4) 12

Answers

Answer:

Only 6 match your answer choices.

Step-by-step explanation:

Solve for x:

x^3 - 5 x^2 - 8 x + 12 = 0

The left-hand side factors into a product with three terms:

(x - 6) (x - 1) (x + 2) = 0

Split into three equations:

x - 6 = 0 or x - 1 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x - 1 = 0 or x + 2 = 0

Add 1 to both sides:

x = 6 or x = 1 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = 1 or x = -2

a cell phone user wants to determine what data plan she should get on her new contract. she selects a random sample of 15 months and finds her average usage to be 11.25 gb with a standard deviation of 2.5 gb. she wants to test h0: µ ≥ 12 gb versus ha: µ < 12 gb. what is the p-value for this test? (round your answer to 3 decimal places.)

Answers

The p value of the test when the cell phone user wants to determine what data plan she should get is 0.1324.

What is a P value?

The p-value is a figure that, when generated from a statistical test, indicates how likely it is that, if the null hypothesis were true, you would have discovered a certain collection of observations. In order to determine whether to reject the null hypothesis, P-values are utilized in hypothesis testing.

The following can be deduced from the information:

Number = 15

Mean = 11.25

Standard deviation = 2.5

Test statistics = -1.162

This is the left tailed test.

The p value will be:

P(z < -1.162 )

This will be looked at in the distribution table

= 0.1324

P-value = 0.1324

Learn more about p value on:

https://brainly.com/question/4621112

#SPJ1

Simplify.
3c + 6d + 3d

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{3c + 6d + 3d}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{= (3c) + (6d + 3d)}\\\mathsf{= 3c + 6d + 3d}\\\mathsf{= 3c + 9d}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{3c + 9d}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

write a new function that is a horizontal stretch of f(x)=(x+2)^3+5

Answers

New function that is a horizontal stretch of F(x)=[tex](x+2)^{3} + 5[/tex] is F([tex]\frac{x}{k}[/tex])=[tex](\frac{x}{k} +2)^{3} + 5[/tex]

What is horizontal stretch ?

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=[tex](x+2)^{3} + 5[/tex]

F([tex]\frac{x}{k}[/tex])=[tex](\frac{x}{k} +2)^{3} + 5[/tex]ch visit :
To learn more about horizontal stretch visit :

brainly.com/question/25753477

#SPJ9

Find the slope of the line that passes through (1, 9) and (8, 1).

Answers

Answer:

Slope = -1

Step-by-step explanation:

m = second y - first y / second x - first x

second y = 1

first y = 9

second x = 9

first x = 1

1 - 9 = -8

9 - 8 = 8

-8/8 = -1

Find the slope of a line.

We mark the points: (x₁ = 1, y₁=9) and (x₂ = 8, y₂ = 1)

X₁ = 1X₂ = 8Y₁ = 9Y₂ = 1

We have that the formula is:

          [tex]\boldsymbol{\sf{m=\dfrac{Y_{2}-Y_{1} }{X_{2}-X_{1}} }}[/tex]

Now we apply the formula and solve:

                    [tex]\boldsymbol{\sf{m=\dfrac{1-9}{8-1} =\dfrac{-8}{7} }}[/tex]

                   [tex]\boldsymbol{\sf{m=\dfrac{-8}{7} }}[/tex]

The slope of the line through (1, 9) and (8, 1) is -8/7.

A fair cost $33 for admission plus $8 for each roller coaster ride.
Given that n represents the number of roller coaster rides, choose the algebraic expression that models this situation.
A
B
D
41n
33n +8
41
33 + 8n

Answers

I think B is the correct answer

A group of friends decided to buy bulk chocolate from a candy store. If some friends
each want 1/7 of a kilogram of chocolate of the 10 kilograms of chocolate
purchased, then how many people can get a share of chocolate?

Answers

Answer:

Your answer is [tex]70[/tex].

Step-by-step explanation:

[tex]10[/tex] ÷ [tex]\frac{1}{7}[/tex] [tex]= 70[/tex]

A car travels at 1/2t^2+55 mph for 0≤x≤5 hours. Approximately how far does it travel?

Answers

Answer to this question right here would be 137.5 miles

Select the correct answer.

Answers

The sine of the angle based on the information about the cosine is D. ✓91 / 10.

How to illustrate the information?

It should be noted that cos is calculated as:

= adjacent / hypothenuse.

This was given as 3/10.

It should be noted that sine = Opposite / Hypothenuse

The opposite will be:

Opp² + Adj² = Hyp²

Opp² + 3² = 10²

Opp² + 9 = 100

Opp² = 100 - 9

Opp² = 91

Opp = ✓91

Therefore, the sine of the angle will be ✓91 / 10

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

Gil is shopping for books and CDs. He buys 4 books and no CDs for a total of $32. Write an equation that represents the relationship between the cost of a book, y, and the cost of a CD, x, in standard form.

Answers

Gil is out purchasing CDs and books. He spends $32 on 4 books but not any CDs. A standard form equation y=-8n and x=0.

Given that,

Gil is out purchasing CDs and books. He spends $32 on 4 books but not any CDs.

We have to create a standard form equation to show the connection between the price of a book (y) and the price of a CD (x).

The equations in standard form for Gil's change in money after purchasing a book (y) and his change in money after selling a CD (x).

Gil spends $32 on 4 books.

4 books = $32

1 book = $8

If n is the total number of books bought, the change in currency equals

y=-8n.

Here, the negative sign stands for a decline in currency. Here, a slope of -8 indicates that after purchasing each book, the money declined by $8.

There are no CDs so x=0.

Therefore, y=-8n and x=0.

To learn more about books visit: https://brainly.com/question/17061364

#SPJ1

If sin 25=cos T, what is the value of T?

Answers

The value of angle T is 65°

In this question, we have been given sin 25=cos T

We need to find the value of T.

Assuming angle in degrees the value of trigonometric function would be,

sin 25 =  0.4226

As we have been given sin 25=cos T,

cos T =  0.4226

So angle T would be,

⇒ T = arccos( 0.4226)

⇒ T = cos^(-1)( 0.4226)

⇒ T = 65°

Therefore, the value of angle T is 65°

Learn more about trigonometric function here:

https://brainly.com/question/14434745

#SPJ1

Other Questions
What is desertification?Question 4 options:Formation of a desert.Process of fertile land becoming unproductive in nearly dry areas.Mass movement of sand dunes.Areas of heavy rain, covered with sand. Please help me. I WILL give brainliest.Edit: I completed the top 3 I just need help on the boxes. how does diffusion help a cell maintain homeostasis? responses:A. it helps the cell expel excess waste.B. it lets the cell know when it needs to produce more energy. C. it helps the cell obtain and break down food for energy.D. it helps maintain an equilibrium of particles inside and outside a cell. a torpedo fired from a submerged submarine is propelled through the water eit ha speed of 20.00m/s and explodes upon impact with a target 2000.0m away. if the sound of the impact in heard 101.4s after the torpedo was fired, what is the speed of sound in water what are the three main polysaccharides? Provide a description of the structure and function for each. Solve: 3(x+4)= 3x+12Ox=0Ox=4Oall real numbersOno solution Which example best represents the use of optical illusions in Greek andGreek-inspired American architecture?O columns that are thinner at the bottomO reliefs with cleverly hidden messagesO columns with intricately designed capitalsO columns that are thicker at the bottom What is the most likely reason the author tells her memoir in verse, not prose?A To reflect the way people often recall memoriesB To describe several events from her childhoodTo tell about the events of her life in orderD To emphasize the setting and characters how could i complete this. In Ishwaris children the imagery given in the sentence The stark whiteness was everywhere, everything around me seemed to glow To make bread, 2 teaspoons of yeast are needed for 500 grams of flour. How many teaspoons of yeast are needed for 750 grams of flour? 3) A clock is set correctly at 1pm. If it loses 3 minutes every hour, what will the clock showwhen the correct time is 10 am the next day? What goal motivated Henry Flagler to build the Florida East Coast Railway? Two shops rent pairs of skis for a rental fee plus a fee per hour. Write and solve an equation tofind how many hours must a pair of skis be rented for the total costs to be the same?Shop A Equation:Shop B Equation:Solution:Rental FeeHourly FeeShop A$3$9Shop B$9$6 Assume the average test score from the last year's class was 85 points with a standard deviation of 9. By sketching a normal curve, which value below is the best estimate for the proportion of students earned a 70 points or higher? Due to differences in mating times, two sub-populations of frogs form into separate species, even though they occupy the same pond. This overall process is known as ________. how many solution does 3(2x+1)=2(2x+1) have I need to write a 4th paragraph about Ancient India and China. It's for a portfolio, and I don't know where to start. quizlet a furniture seller believes that people who have just moved are more likely to need new furniture. what targeting dimension should this furniture seller use for their ad campaign? what are transverse streams? group of answer choices streams that cut across uplifted structures such as anticlines. all of the other answers are correct, and thus this is the best answer. streams that flow down the middle of synclines. Laqueta has a $50 gift card for an online music store. Each song costs ss dollars. Write an algebraic expression that represents the amount left on her card after Laqueta buys 7 songs. How much money will be left on her card if each song costs $1.25?