if you buy a computer game for $54, you have a $5 mail-in rebate, and you pay 8% sales tax, how much does your game cost?

Answer:

[tex]y = -3x+4[/tex]

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

A linear equation means that the y value changes at a constant rate as x increases by 1.

To find the rate of change you need to plug 2 ordered pairs into the formula:
[tex]\frac{y1-y2}{x1-x2}[/tex]

(x1,y1) can be any data point on this table. To make it easy, we will make it (2,-2).

(x2,y2) can be any data point other than the previously chosen point. So, we will choose (-1,7).

If we substitute this into the formula, previously mentioned, we get:

[tex]\frac{-2-7}{2-(-1)}[/tex]

When we solve this, we get the rate of change as -3.

This will be the "m" value in the linear equation format:
"y = mx+b"

The b value is the y-value of the data when x = 0.

So to get the b-value, you need to plug in one ordered pair into the "y=mx +b" equation.

"m" was the rate of change, which we found in the previous step.

Let's use (2,-2) as the chosen ordered pair.

By substitution, we end up with:
[tex]-2=-3(2)+b[/tex]

If we solve this out, we get:
[tex]b = 4[/tex]

m was -3 and b is now 4.

So, putting this into the equation "y = mx+b"
We get our answer as [tex]y=-3x+4[/tex].

Answer:

The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

Step-by-step explanation:

* Lets explain how to solve it

- Decreasing function means a function with a graph that moves

downward as it is followed from left to right.

- For example, any line with a negative slope is decreasing function

- Lets look to the attached graph to understand the meaning of the

decreasing function

∵ f(x) = IxI ⇒ green graph

∵ g(x) = Ix + 1I - 7 ⇒ purple graph

- From the graph f(x) translated 1 unit to the left and 7 units down to

form g(x)

- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}

- The range of f(x) is {y : y ≥ 0}

- The range of g(x) is {y : y ≥ -7}

# For f(x)

- The slope of the green line from (-∞ , 0) is negative

- The slope of the green line from (0 , ∞) is positive

# For g(x)

- The slope of the purple line from (-∞ , -1) is negative

- The slope of the purple line from (-1 , ∞) is positive

∵ The line with negative slope represent decreasing function

∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

From the list of options, the set that is equal to the set  {1, 2, 3, ...} is {x | x N, x ≥ 1}

The set is given as:

{1, 2, 3, ...}

The three dots (...) after 3 implies that the elements of the set include other values such as 4, 5, 6 and so on

Using the above scenario, we can see that the set  {1, 2, 3, ...} contains only positive integers.

All positive integers are natural numbers and they are denoted by N

From the list of options, we have:

{x | x R, x ≥ 1}

This represents the set of all real numbers greater than or equal to 1.

Note that this set includes decimal numbers i.e. 1, 1.5, 1.89 and so on

This does not represent the set  {1, 2, 3, ...}

{x | x R, x > 1}

This represents the set of all real numbers greater than 1.

Note that this set includes decimal numbers i.e. 1.5, 1.89 and so on

This does not represent the set  {1, 2, 3, ...}

{x | x N, x ≥ 1}

This represents the set of all natural numbers greater than or equal to 1.

Note that this set does not include decimal numbers i.e. 1, 2, 3, 4 and so on

This does represent the set  {1, 2, 3, ...}

Hence, the set that is equal to the set  {1, 2, 3, ...} is {x | x N, x ≥ 1}

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Students who receive a grade of at least a C must have a minimum score of 50.38.

We may assume that the cut-off will be below 67.66 % because that percentage is more than 50%.

To get the value of 67.66 - 50 = 17.66, we must search in a regular normal table.

Hence, A z value of 0.458 will cause that value to occur.

Next, increase the standard deviation of 9 by 0.458.

The result is 4.122.

This indicates that the threshold for a student earning a C or higher is the mean minus 4.122.

So, the final result is 54.50-4.122 = 50.38.

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The money paid to the secretary is $14000 and the money paid to mathematician is $22000.

A mathematical statement that establishes the equality of two mathematical expressions is the called an equation.

Total money available for hiring = $36000

Let the money given to secretary = X

Money given to the mathematician = X + 8000

X + (X + 8000) = 36000

2X = 28000

X = 14000

Money given to secretary is $14000.

Money given to the mathematician is $22000.

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Answer:

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

Your question is incomplete. please read below for the missing content

y = -3/4x + 14 is the answer.

y = 4/3x+ 7...slope here is 4/3. A perpendicular will have a negative reciprocal slope. All that means is to flip the slope and change the sign.

4/3....flip it....3/4....change the sign....-3/4. So our perpendicular equation has to have a slope of -3/4

y = mx + b

slope(m) = -3/4

(4,11)...x = 4 and y = 11

now we sub and find b, the y int

11 = -3/4(4) + b

11 = - 3 + b

11 + 3 = b

14 = b

so ur line is : y = -3/4x + 14

The perpendicular line has the opposite slope of the reciprocal, so the slope of the line you want to find is 1/2. Inserting the given points into the equation y = 1 / 2x + b and solving b yields b = 6. Therefore, the linear equation is y = ½x + 6. When relocated, it becomes –x / 2+. y = 6.

Q)  What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation y = 4/3x + 7

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Answer:

The correct answer is beef

Step-by-step explanation:

I took the quiz and got it correct

The roots of the polynomial equation are -1.73, 1.73 and 0

The polynomial equation is given as:

[tex]x^4 + x^2 = 4x^3 - 12x + 12[/tex]

Next, we split the equation as follows:

[tex]y = x^4 + x^2[/tex]

[tex]y= 4x^3 - 12x + 12[/tex]

Next, we plot the equations on a graphing calculator

From the graph, we have the x-coordinates of the intersection points to be:

x = -1.73, 1.73 and 0

Hence, the roots of the polynomial equation are -1.73, 1.73 and 0

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For the two figures to be similar, the missing length must be 30.

For the two figures to be similar, the dimension of each figures must be proportional to each other.

Let the missing length be x.

Hence,

x/25 = 24/20

We cross multiply

x × 20 = 24 × 25

x × 20 = 600

x = 600/20

x = 30

Therefore, for the two figures to be similar, the missing length must be 30.

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Answer:

a)

Surface Area: 172 cm^2

Volume: 112 cm^3

b) Surface Area

c) Volume

Step-by-step explanation:

Answer:

-16/9

Step-by-step explanation:

( [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{8}[/tex] ) ÷ [tex]-\frac{3}{5}[/tex]

= ( [tex]\frac{2}{5} * \frac{8}{3}[/tex] ) ÷ [tex]-\frac{3}{5}[/tex]

= [tex]\frac{16}{15}[/tex] ÷ [tex]-\frac{3}{5}[/tex]

= [tex]\frac{16}{15} * -\frac{5}{3}[/tex]

= -16/9

The values of x and y in the equation are 15 and 28 respectively

Let's find the x and y values in the equation,

m = 7x + 7

m = 4y

m = 112

Therefore,

4y = 7x + 7

4y - 7x = 7

4y = 112

y = 112 / 4

y = 28

Therefore,

4(28) - 7x = 7

112 - 7x = 7

112 - 7 = 7x

105 = 7x

x = 105 / 7

x = 15

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Answer:

If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.

There are infinitely many parallelograms with the same area and base due to the variability of the height.

We have,

There is always more than one parallelogram with the same area and base because the height of the parallelogram can vary while keeping the base and area constant.

The formula to calculate the area of a parallelogram is:

Area = base × height

If the base and area of a parallelogram are fixed, we can rearrange the formula to solve for the height:

height = Area/base

Since the height can be any value as long as it satisfies the above equation, there are infinitely many possible heights for a given base and area.

And for each height, there will be a unique parallelogram with that base and area.

Imagine a rectangle as a special case of a parallelogram where all angles are 90 degrees.

For a given base and area, you can have an infinite number of rectangles by varying the height.

Each rectangle will have different side lengths, but they will all have the same base and area.

Thus,

The variability of the height while keeping the base and area constant allows for the existence of multiple parallelograms with the same area and base.

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The predicted value of the car in the year 2007 is 13310

Given the purchased value of new car in 1998 is  $ 32,900

The value of car was $ 19,900 in the year 2003

We need to find the value of the car in the year 2007

Let the predicted value be x

The exponentially constant rate in 2003

32900*x^5 = $19900 (∵ x^5 = 5 years difference that is 1998 to 2003 )

Now In year 2007

2007 = 32900*x^9

x = 0.9043

The predicted value of the car is 0.09043

But we want the predicted value in 2007

Therefore ,

In 2007 ≈ x = 13310.02

Rounding off to the nearest dollar is $13310

Therefore the predicted value of the car in 2007 is $13310

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Answer:

3 times larger

Step-by-step explanation:

Front tire circumference = pi *d

rear tire is 3 times this   = pi 3 d

   so rear tire has radius 3x that of the front tire

Using its concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

p=19/25

Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

p=38/50 = 19/25

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Answer:

Step-by-step explanation:

Part A:  

CIRCLE A : Circumference is (pi)(diameter) so if they give you the circumference (21.98), divide it by 7 which gives you 3.14.

CIRCLE B: 18.84/6 = 3.14

Part B:

CIRCLE A: Area is (pi)(radius^2) so if they give you the area (38.465), divide it by radius^2 (7/2 = 3.5^2 = 12.25) = 3.14

CIRCLE B: 28.26/(3^2) = 3.14

Part C:

The value of pi stays the same for circle A and B.

Hope this helps :)

The equation that represents the relationship between n and w is w = 10n + 8.

From the information, Ron is making a banner by stringing letters on a cord and the cord weighs 8

ounces and each letter weighs 10 ounces.

Let represent the number of letters

Let w represent the weight of the banner.

In this case, when n = 6, w = 68 and when n = 7, w = 78.

Therefore, the relationship will be:

w = 10n + 8

To confirm let's use n = 6

10n + 8

10(6) + 8

= 68

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Answer:

Step-by-step explanation:

w=10n+8

The equation of the line that is parallel and passes through the point (2,3) is; x +2y =8.

If follows from the task content that the slope of the first line is; (-4-0)/(4-(-4)) = -1/2.

Hence, since the lines are parallel, they have the same slope and the equation of the second line is;

-1/2 = (y-3)/(x-2)

-x+2 = 2y -6

x +2y =8.

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Answer: b on edg

Step-by-step explanation:

If the graph of the line falls from left to right the slope is negative.

Slope = (y2 - y1)/(x2 - x1)

---> y = -2x + 3

Answer:

discriminant = b^2 - 4ac

Step-by-step explanation:

discriminant = b^2 - 4ac

2^2 - 4x 3x2 = 4-24 = 20

As slope is undefined, then the slope of the line is parallel to the x axis.

In this problem we have a line that passes through two points, the slope is determined by definition of secant line:

m = [- 9 - (- 6)]/(8 - 8)

m = - 3/0

As slope is undefined, then the slope of the line is parallel to the x axis.

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Answer:

5.2 Inch to cm = 13.208 cm

5.2 feet to cm = 158.496 cm

Step-by-step explanation:

Inch: 1 inch = 2.54 cm, so multiply 2.54 * 5.2. We get the answer: 13.208 cm

Feet: 1 foot = 30.48 cm, so multiply 30.48 * 5.2. We get the answer: 158.496 cm

Answer: Options (2), (4), (5)

Step-by-step explanation:

When x = 1, y = 1. So, g(1)=1.

Using similar logic to test the other options, we see that the correct answers are options (2), (4), and (5).

Answer:

42.8571

Step-by-step explanation:

We would need to divide 150 by 7 and multiply it by 2 to get the answer.

150/7 = 21.42857

21.42857*2 = 42.8571

Answer:

see explanation

Step-by-step explanation:

(a)

play ends at 9 : 55 pm

15 minutes to get to bus stop , then time is

9 : 55 + 15 min = 10 : 10 pm = 22 : 10

the earliest bus she can catch is 22 : 25

(b)

time to wait 22 : 10 → 22 : 25 = 15 minutes

In one hour the plane will cover a distance of 1238 km.

solving this we will get the valve of Y is x is given.

calculation:-

today distance = 9904 km.

total time is taken = 8 hours.

∴total distance covered in one hour = 9904/8

                                                        = 1238 km.

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Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2the number represented by point B is 1⁴/₅

The question has to deal with proportion

Proportion is the measure of a variable or quantity relative to another.

Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2, the measure of a sub-unit between 1 and 2 is

= 1/5

So, each sub-unit measure 1/5

Since point B is one mark to the left of 2, we have that point B is y = 2 - 1/5 = (10 - 1)/5

= 9/5

= 1⁴/₅

So, the number represented by point B is 1⁴/₅

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The speed of light is 300,000 kilometers per hour. hence option c is correct.

According to the statement

we have to explain that the by how much speed the light travels.

So, Firstly

Light is the natural agent that stimulates sight and makes things visible.

and speed of light means that the distance covered by the light with respect to time.

So, it means those distance which is covered by the light with respect to time is called the speed of light.

The speed of light is measures in km, meters and in other units also.

And we can calculate the speed of light per hour or per minute or in other time measurements.

So, The speed of light is 300,000 kilometers per hour. hence option c is correct.

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