A line passes through (-1,1) and 3,9 what is the equation of the line in slope intercept form

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

Answer:

package 3 is lowest unit price

Step-by-step explanation:

pkg 1

$0.55/.5m = $1.10/m

pkg 2

$2/2m = $1.00/m

pkg 3

$7/10m = $0.70/m

pkg 4

$5.50/5m = $1.10/m

------------------------------

package 3 is lowest unit price

The answer to the equation 9√2 - 3√7 + √8 - √28 is 11√2 - 5√7.

What are Irrational Numbers?

Irrational numbers are those that cannot be represented as a fraction p/q for any two integers p and q. Irrational numbers have decimal expansions that don't end and don't become periodic.

Solution:

9√2 -3√7 + √8 - √28

we can write √8 = 2√2

and √28 = 2√7

9√2 - 3√7 + 2√2 - 2√7

on simplifying

11√2 - 5√7

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If ∫06f(x) dx = 37 and ∫06g(x) dx = 12, then we can use the properties of definite integrals to find ∫06[2f(x) - 3g(x)] dx.

First, we can use the distributive property to split the integral into two separate integrals:
∫06[2f(x) - 3g(x)] dx = ∫062f(x) dx - ∫063g(x) dx

Next, we can use the constant multiple rule to move the constants outside of the integral:
∫062f(x) dx - ∫063g(x) dx = 2∫06f(x) dx - 3∫06g(x) dx

Now, we can substitute the given values for the integrals:
2∫06f(x) dx - 3∫06g(x) dx = 2(37) - 3(12) = 74 - 36 = 38

Therefore, ∫06[2f(x) - 3g(x)] dx = 38.

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Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Answer:

go on your profile ---> edit profile----> preferences

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

16.5

Step-by-step explanation:

a^2 + b^2 = c^2

We were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of the columns of a. 2 4 3 2 1 3 5 can be written as 2a1 + 2a2 + 0a3.

To determine whether a given vector is in the span of columns of a matrix, we need to check whether that vector can be expressed as a linear combination of the columns of the matrix.

Let's assume that matrix a has the following columns:

a = [ 1 2 3

2 4 3

3 6 5

4 8 7 ]

For the first vector, 2 4 1 2 3 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 1 2 3 3 5 = 2a1 + 2a2 - 2a3

Therefore, the first vector is in the span of the columns of a.

For the second vector, 2 4 3 2 1 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 3 2 1 3 5 = 2a1 + 2a2 + 0a3

Therefore, the second vector is also in the span of the columns of a.

In both cases, we were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of columns of a.

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The maximum diameter of the metal pole produced by Goodpole Manufacturing can be determined by solving the inequality d - 3 ≤ 0. The correct answer among the options provided is 3.000.

The inequality d - 3 ≤ 0 represents the condition that the diameter, d, of the metal pole must be less than or equal to 3 centimeters. To find the maximum diameter, we need to find the largest value that satisfies this inequality. Since the inequality states that d must be less than or equal to 3, the maximum value for d would be exactly 3.000 centimeters. This means that the metal pole cannot have a diameter greater than 3 centimeters. Among the options provided, the correct answer is 3.000, as it represents the maximum diameter that satisfies the given inequality. Options such as 1.499, 1.500, 2.999, and 3.001 are greater than 3 and do not satisfy the inequality. Therefore, the maximum diameter of the metal pole is 3 centimeters.

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The value of the function h(x) = -3(x - 1) + 4 when x is -5 is 19.

It is important to note that a function is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, the function is given a :

h(x) = -3(x - 1) + 4

When x = -5. This will be:

h(-5) = -3(-5 - 1) + 4

= -3(-6) + 1

= 18 + 1

= 19

The value is 19.

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A possible example of a surface described by the equation z=f(x,y) is a saddle-shaped surface given by f(x,y)=xy, which can be sketched by plotting points and connecting them to form a mesh.

One possible example of a surface that can be described by the equation z = f(x,y) is a saddle-shaped surface given by f(x,y) = xy. The graph of this function would have a saddle-like shape, where the surface curves up in one direction and down in the other.

To sketch this surface, we can start by plotting a few points and then connecting them to form a mesh. For example, we can plot the points (1,1,1), (1,2,2), (2,1,2), (2,2,4), (0,0,0), (0,1,0), (0,2,0), (1,0,0), (2,0,0), (-1,-1,1), (-1,-2,2), (-2,-1,2), and (-2,-2,4), and then connect them to form a mesh that resembles a saddle.

Overall, the shape of the surface would depend on the specific function f chosen, but the basic idea is to plot points and connect them to form a mesh that captures the overall shape of the surface.

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George made the mistake of dividing 8 by 2^3 first instead of using PEMDAS.

\(8 / 2^3 - 16 / 12\\\\8 / 8 - 16 / 12\\\\1 - 16/12\\\\- 1/3\)

Hope this helps! Have a great day or night (wherever you are)! : )

Brad's logic is flawed and does not hold any scientific basis. The gender of a child is determined by the combination of genetic factors from both parents

. Each pregnancy is an independent event, and the probability of having a boy or a girl is not influenced by the gender of the previous children. The belief that having a certain number of children of one gender increases the likelihood of having a child of the opposite gender is known as the "gamblers fallacy" or "Monte Carlo fallacy." In reality, the probability of having a boy or a girl remains approximately 50% for each pregnancy, regardless of the gender composition of the existing children.

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The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.

What is restaurant?

A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.

Given:

Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.

Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.

Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.

The cost incurred by Rachael's restaurant as fixed, variable or mixed are,

a. Advertisement c cost relative to number of customers      Fixed

b. Rental cost relative to number of restaurant                    Variable

c. Cooks salaries relative to number of customer             Fixed

d. Cost of Supplies (cups, plates, spoons, etc.) relative

to number of customer                                                     Variable

e. Manager's compensation relative to number of customer Mixed

f. Servers' salaries relative to number of Restaurants        Variable

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Complete question:

Complete question is attached below.

Answer:

-71/6

Step-by-step explanation:

[(1/4) -1 + (1/3) -2 - (1/2) -3 ] ÷ 5

[(3/12)-(12/12)+(4/12)-(24/12)-(6/12)-(36/12)] ÷ 5

[-71/12]/5

-71/60

Answer:

(2a, 0)

Step-by-step explanation:

the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.

Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

The solution to the equation include the following: D. x=1.

In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

bⁿ

Where:

By applying the law of indices for powers to the given expression, we would have the following simplified expression:

\(2^x + 4=2^{3x}\\\\2^x + 2^2=2^{3x}\)

x + 2 = 3x

x - 3x = -2

-2x = -2

x = 1

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Complete Question:

What is the solution to the equation \(2^x + 4=2^{3x}\)?

A. x=2

B, x=-2

C. x=3

D. x=1

In linear equation, 90 ft  is  the distance between the two players .

What in mathematics is a linear equation?

Let player 1 distance  from home plate = x ft

 so, dx/dt = 20 ft/sec

let player 2 distance from 2nd base  = y ft

       dy/dt = 15 ft/sec

we know that baseball around is of square type with length 90 ft .

 we have to find change in s.

   x = 40 ft ,     y = 50 ft

applying Pythagoras .

                     S² = (90)²  +  ( 90 - ( x + y ) )²

                     S² = ( 90)² + ( 90 - ( 50 + 40 ))²

                     S² = 90²

                     S = 90

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it's wind blows warm water away from the shore.

Step-by-step explanation:

it is one hundred percent correct

Answer:

A

Step-by-step explanation:

Wind blows warm water away from the shore.

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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Answer

x=4

Explanation

-4 = x -8

add 8 to both sides

-4+8 = x

x=4

Answer:

3

Step-by-step explanation:

the absolute value is distance of a number from 0 so +3 absolute value is 0

Answer:

2/6b-7

Step-by-step explanation:

Answer:

1/3(b-21)

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For Car A, we have that:

a. The function is exponential.

b. The definition of the function is: \(y = 18500(0.94)^x\)

c. When x = 9, the numeric value of the function is given as follows: 10,600.

For Car B, we have that:

a. The function is linear.

b. The definition of the function is: y = -750x + 18500.

c. When x = 9, the numeric value of the function is given as follows: 11,750.

The general format of an exponential function is presented as follows:

y = ab^x.

In which the parameters are defined as follows:

For Car A, the function is exponential, as the rate of change is a constant quotient, as follows:

b = 16346.60/17390 = 15365.80/16345.60 = 0.94.

Hence:

\(y = a(0.94)^x\)

The initial value is calculated as follows:

a = 17390/0.94

a = 18500.

Hence the function is:

\(y = 18500(0.94)^x\)

The numeric value at x = 9 is given as follows:

\(y = 18500(0.94)^9 = 10,600\)

A linear function has the general format given as follows:

y = mx + b.

In which the parameters are explained as follows:

For Car B, the function is linear, as the difference between consecutive terms is the same, as follows:

m = 17000 - 17750 = 16250 - 17000 = -750.

Hence the intercept is:

b = 17750 + 750 = 18500.

Then the function is:

y = -750x + 18500.

The numeric value at x = 9 is given as follows:

y = -750(9) + 18500 = 11,750.

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