1. The total cost of 3 cups of hot chocolate is $8.25. Assume the total cost
of hot chocolate y varies directly with the number of hot chocolate
ordered x. What is the cost of one hot chocolate? *
O A. $0.36
O B. $8.25
O C. $2.75
O D. $3.00

Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.

[tex]y = \frac{1}{3}x + b[/tex]

Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.

[tex]y = \frac{1}{3}x + b[/tex]

[tex]3 = \frac{1}{3}(-3) + b[/tex]

Step 3: Solve for b (the y-intercept).

[tex]3 = \frac{1}{3}(-3) + b[/tex]

[tex]3 = -1 + b[/tex]

[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]

[tex]4 = b[/tex]

Step 4: Substitute this value for b in the slope-intercept form equation.

[tex]y = \frac{1}{3}x + 4[/tex]

~I hope I helped you :)~

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

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

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

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

If you want free answers to your questions you can use math

way, which is  a free website

It gives you FREE answers to math problems and they are always reliable.

I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)

then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

Please mark me as brainliest and have a good day!

Answer:

I would say the answer is C

Step-by-step explanation:

Answer:

OBJECTIVE: To create, characterize and graph a polynomial function that reflects you!

PROCESS:

1. Write, IN ORDER, the digits of the month (1 or 2 digits), day (1 or 2 digits), and year (4 digits) of your birthday.

For example, April 2, 1976 could be “421976” or “4021976”. Use must use 6, 7 or 8 digits.

2. Create a polynomial using your digits, in order. Again, for example, my polynomial could be:

() = 4

5 + 2

4 − 1

3 − 9

2 + 7 −6 or

() = 4

6 + 2

4 − 1

3 − 9

2 + 7 − 6

*notice in the second example, the 0 eliminated the 5th degree term

**if your birth year is 2000, you may change your constant term (the “lagger”, which is the 6 in my

equation) to your favorite number, instead of 0.

3. Experiment with the shape of your birthday polynomial by changing the signs (+/-) of various terms in your

calculator. Try to create a polynomial function with an interesting shape and some turning points. Be creative!

You’re trying to express yourself in this graph!

*notice the change in the 2 graphs

below by just changing 3 positive

signs to negative!

4. Analyze your polynomial (using your calculator)

by finding these characteristics:

a. Roots (x-intercepts)

b. Y-intercept

c. Relative minimums and maximums

d. End behavior

e. Points (x, y)

PRODUCT: Make a presentation of your polynomial. Be creative! Be colorful! Be neat! Be artistic and ACURATE! Just

meeting the basic requirements will earn you a 90% (at most). At a minimum, your presentation should include a visual

representation of the graph of your polynomial and should also include the following:

□ The statements: My Birthday is ________________

My Birthday Polynomial is ______________________.

□ A T-chart with 10 (x, y) points

□ All Roots (labeled on graph and values)

□ Y-intercept (labeled on graph and value)

□ Relative Maximum and Minimums (labeled on graph and values)

□ Sentence description of end behavior and why this occurs

ASSESSMENT: Your project will replace lowest MID-CHAPTER QUIZ (30 points). You will be graded on completion of all

requirements and accuracy of graph and values. Additional points (90% and above) will be awarded for creativity and

effort.

YOUR PROJECT IS DUE WEDNESDAY, DECEMBER 2. ABSOLUTELY NO LATE PROJECTS WILL BE ACCEPTED. PLEASE FEEL

FREE TO EMAIL ME OVER THE BREAK IF YOU HAVE QUESTIONS… HAVE A GREAT THANKSGIVING HOLID

Step-by-step explanation:

The birthday polynomial for the date 05/11/2004 is 20040511.

The birthday polynomial is a mathematical concept that assigns a unique polynomial to a specific date, typically represented in the format MM/DD/YYYY.

To construct the birthday polynomial for a given date, follow these steps:

1. Write the date in the format MM/DD/YYYY.

2. Rearrange the numbers in reverse order, i.e., YYYY/MM/DD.

3. Remove any slashes or separators between the numbers.

To construct the birthday polynomial for the date 05/11/2004, follow these steps:

1. Write the date in the format MM/DD/YYYY: 05/11/2004

2. Rearrange the numbers in reverse order: 2004/05/11

3. Remove the slashes: 20040511

Therefore, the birthday polynomial is 20040511.

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Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

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Answer: the third one

Step-by-step explanation:

because there all increasing by 7

Answer:

Bonnie is correct

Step-by-step explanation:

Ok so bonnie said to buy five shirts  so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.

Answer:

Susan is correct

Step-by-step explanation:

Answer:

24 cookies

25 muffins

96 cookies

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

Given:

The expression is

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

To find:

The index form of given expression.

Solution:

Index form is the exponent form, it means, the number is represented in power of a number.

We have,

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]

Therefore, the index form of given expression is [tex](-4)^6[/tex].

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

(–5, 0.5) a solution of the system of equations.

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

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Answer:

x=2

Step-by-step explanation:

  y=-x+5

-1(y)=(x+1)-1   = -y=-x-1

   y=-x+5

+ -y=-x-1

  0=-2x-4

0=-2x-4

+4     +4

4=2x

1/2(4)=(2x)1/2

2=x

The x-coordinate of the solution to the system of equations is 3.

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations. The number of equations and unknowns affects the existence and uniqueness of the solution. A system of equations can be classified similarly to single equations.

Given that, the graph given shows a system of equations,

We know that, the solution of the system of equations, is given by the point where the lines intersect,

So, here the lines intersect, at (3, 2)

Therefore, the x-coordinate is 3

Hence, the x-coordinate of the solution to the system of equations is 3.

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Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

Responda:

camarote Amarelo

Explicação passo a passo:

Dado que:

Número total de pessoas = 150.000

Caixa rosa: 1/4 * 150.000 = 37.500

Caixa Lilax: 1/5 * 150.000 = 30.000

Caixa amarela: 2/5 * 150.000 = 60.000

Faixa = 0,15 * 150.000 = 22.500

Portanto, a caixa amarela tem mais gente

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Answer:

The answer is 420.

Step-by-step explanation:

The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490

Answer:

420 hope this helps

Step-by-step explanation:

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

Answer:

Domain: [-5,5]

Range: [-5,5]

Step-by-step explanation:

Domain: the set of possible values along the x-axis.

Range: the set of possible values along the y-axis.

Answer:

The expression in simplified radical  form is:

[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]

as

so the expression becomes

[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]

[tex]=5+\sqrt{3}+6[/tex]

[tex]=11+\sqrt{3}[/tex]

Thus, the expression in simplified radical  form is:

[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]

Answer:

Number 4, the last one

Step-by-step explanation:

The answer is the first choice.

For every odd-degree polynomial function,

When x approaches positive infinity, y approaches positive infinity.

When x approaches negative infinity, y approaches negative infinity.

As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.

Answer:

Step-by-step explanation:

he did the question wrong completely, so, check #4, #2, and #3

Answer:

the last three choices

Answer:-8,-2,4,10

Step-by-step explanation:

the answer of your question is angle 3

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

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