PLEASE HELP. Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. 1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. 2. Describe how you would graph this line using the slope-intercept method. Be sure to show all your work. 3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to show all your work. 4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. 5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer 1

They are similar because they have the same slope the equation is

y = -2/3x + 531

What is in slope-intercept form?

Given a line's slope and the intercept it makes with the y-axis, one of the mathematical forms used to determine a straight line's equation is called the slope intercept form. The slope intercept form is expressed as y = mx + b, where m is the slope of the straight line and b is the y-intercept.

changing 2x+3y=1470 to slope intercept form is solving for y

minus 2x both sides and divide by 3

y = -2/3x + 490

the slope is -2/3

the y intercept is y=490 or the point (0,490)

to graph it, I would start at the origin and go up 490 units on the y axis and put a point there

then go -2 units up (2 down) and 3 to the right and put a point there

then connect the 2 points with a line

in function notation, replace y with f(x) to get

y = -2/3x + 490

graph below

intercepts labeled

2x+3y=1593

they are similar because they have the same slope

the equation is  y = -2/3x + 531

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Related Questions

Name the property illustrated.


(7 + 8) + 9 = 7 + (8 + 9)

Answers

answer: associative property

Step-by-step explanation:

Plsss help I don’t know if “B” is right so plsss help me

Answers

Answer:

it is C

Step-by-step explanation:

it cannot be A or B because ether angles 2 or 3 would have to be an obtuse angle, which neither of them is. So, this leaves C and D. It is not D because angles 2 and 3 are not corresponding (angles 2 and 4 are). This leaves option C as the only answer.

Pls mark brainliest with the crown

ignore the 7. Appreciate if its done quickly. No need to graph. Just solve inequality

Answers

Answer:

[tex]x \leq -1[/tex]

Step-by-step explanation:

divide both sides by -4

-2 >= x - 1

(FLIP THE INEQUALITY!!!)

now add 1 to both sides

-1 >= x

flip the equation

x <= -1

that is your answer

a solid cube has side length 3 inches. a 2-inch by 2-inch square hole is cut into the center of each face. the edges of each cut are parallel to the edges of the cube, and each hole goes all the way through the cube. what is the volume, in cubic inches, of the remaining solid?

Answers

The volume of remaining solid is 7 in³.

What is volume of cube?

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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2. Expand each of the following functions in ascending powers of x up to the term in
x³. In each case state the values of x for which the expansion is valid.

Answers

Values of x in ascending orders is shown below.

What are exponents?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) signifies 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1. Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire statement 34 has power.

Given Data

Expanding the exponents,

[tex]\sqrt{4+x}[/tex]

[tex]4^{1/2}[/tex] + [tex]x^{1/2}[/tex]

2) [tex]\frac{1}{2+x}[/tex]

2⁻¹ + x⁻¹

3) (3-2x)⁻²

(9)⁻¹ - 4x⁻²

4) (8 - 3x)¹⁾³

2 - [tex]3x^{1/3}[/tex]

In Ascending order,

(3-2x)⁻², [tex]\frac{1}{2+x}[/tex] , ([tex]8-3x^{1/3}[/tex]) , [tex]\sqrt{4+x}[/tex]

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d = 4n-2 solve for n

Answers

The value of the equation d = 4n - 2 for n is (d + 2) ÷ 4.

Given data, d = 4n - 2

For finding the value of n first add 2 to both the side,

d + 2 = 4n - 2 + 2

d + 2 = 4n

Now, divide 4 into both sides of the equation:

(d + 2) ÷ 4 = 4n ÷ 4

(d + 2) ÷ 4 = n

∴ The value of n after solving the equation d = 4n - 2 is (d + 2) ÷ 4.

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What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?

Answers

Answer:

See below

Step-by-step explanation:

To get from +9 to  -10   you will need to shift DOWN 19 units

As a children's librarian, Jodi Hassam earns $15.35 per hour plus time and a hall for weekend work Last week she worked her regular 40 hours plus 16 hours on the weekend. What was her total pay for the week?

Answers

Answer:

Jodi's total pay for the week is $ 982.40

Step-by-step explanation:

Need help ASAP! will give brainliest!

Answers

Answer:

first one.

Step-by-step explanation:

the slope of the line is the rise over run, in triangle STU this is 3 over 2

in triangle FED this is 6 over 4, which simplifies to 3 over 2

proving that the slope of the line is constant.

what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)

Answers

The probability that maximum speed differs from the mean value by at most 2.5 standard deviations is 0.8473

Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5 standard deviations be given by P(U±2.5).

Mean speed U =46.7km/hr

P(46.7±2.5) = (44.2<= X <=49.2)

= P( 44.2<= Z <= 49.2)

= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)

= P( - 1.4286 <= Z <= 1.4285)

= P(1.4285) - P(-1.4285)

= P(1.43 ) - P(-1.43)

= 0.92364 - 0.07636

= 0.8473

Thus the probability that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473

the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped

What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"

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suppose f(x) = 3x + 10 and g(x) = 17x + 4
find (f+g) (x)

Answers

Suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

The function is an expression the show the relationship between one variable and another variable. If one variable is dependent variable another variable will be independent variable.  We can also says that the function shows the relationship between set of inputs and set  of out puts

The function f(x) = 3x+10

g(x) = 17x+4

We have to find the value of (f+g)(x)

We know,

(f+g)(x) = f(x) + g(x)

Substitute the values in the equation

(f+g)(x) = 3x+10 + 17x+4

Add the like terms

(f+g)(x)  = 20x+14

Hence, suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

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On Tuesday, the mailman delivers three check for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?

Answers

That would be $36 I believe. 5 x 3=15 15+25=40 40-4=36

25 > w - 7 solve the inequality for w and simplify your answer as much as possible

Answers

Step-by-step explanation:

so when we have 25> w -7 we must move the

-7 to the 25 for the w to stand on it own so

25+7 > w

32 > w

for every integer m, 7m 4 is not divisible by 7. construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order.

Answers

Answer: CAELYNN YOU WWELCOME

Step-by-step explanation:

7 +7+7+7+7+7

If f(x)= x³+4x² - 15-18 and a + 1 is a factor of f(x), then find all of the
zeros of f(x) algebraically?

Answers

Answer:

I believe you typed that wrong.

The third term should be -15X

And the 3 answers are 3 -6 -1

Step-by-step explanation:

Answer: x=-1   x=-6   x=3

Step-by-step explanation:

[tex]f(x)=x^3+4x^2-15x-18[/tex]

Let's isolate the multiplier (x+1) from the expression  x³+4x²-15x-18  :

[tex]x^3+4x^2-15x-18=\\\\x^3+x^2+3x^2-15x-18=\\\\x^2(x+1)+3(x^2-5x-6)=\\\\x^2(x+1)+3(x^2+x-6x-6)=\\\\x^2(x+1)+3(x(x+1)-6(x+1))=\\\\x^2(x+1)+3(x+1)(x-6)=\\\\(x+1)(x^2+3(x-6))=\\\\(x+1)(x^2+3x-18)[/tex]

Decompose the polynomial х²+3х-18 into factors:

[tex]x^2+3x-18=\\\\x^2+6x-3x-18=\\\\x(x+6)-3(x+6)=\\\\(x+6)(x-3)[/tex]

[tex]Thus,\\\\x^3+4x^2-15x-18=(x+1)(x+6)(x-3)\\\\[/tex]

[tex](x+1)(x+6)(x-3)=0\\\\x+1=0\\x+1-1=0-1\\x=-1\\\\x+6=0\\x+6-6=0-6\\x=-6\\\\x-3=0\\x-3+3=0+3\\x=3[/tex]

Simplify m^9 m^−3.
A. -m^12
B. 1 / m^27
C. 1 / m^6
D. m^6

Answers

I will the law of exponents:

[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

⇒[tex]=m^{9+(-3)} \\=m^{9-3}\\ =m^{6}[/tex]

Option D is the answer

9th term of 25,150,900

Answers

Answer: The 9th term is 41990400

Step-by-step explanation:

As we can see here 25, 150, 900 to find the common ratio i'll divide 150 by 25 which gives me 6

to 25 times 6 is 150

150 times 6 is 900

T=Term

1t=25 2t=150 3t=900 4t=5400 5t=32400 6t=194400 7t=1166400 8t=6998400 9t= 41990400

900*6= 5400

5400*6=32400

32400*6= 194400

194400*6= 1166400

1166400*6= 6998400

6998400*6=41990400

I need help doing this, I dont really know how. show work

Answers

Check the picture below.

Hello! What graph could be used to find the solutions to the system of equations? Thanks for your help!

Answers

The Solution:

Given:

[tex]\begin{gathered} y=\frac{2x-2}{x-3} \\ \\ x-y=1 \end{gathered}[/tex]

Required:

To determine the graph that represents the given system.

Below is the graph of the given system:

Therefore, the correct answer is [ option 2 ]

2 10) (x y2)4. 2x (2xy-2) y4 A) DP B) +3 8714 1 C) D) 4xºy 2x7 y? 2

Answers

We have to solve this expression:

[tex]undefined[/tex]

Question 8 of 10Which is not a characteristic of the linear parent function?A. The range is positive real numbers (y> 0).B. It goes through the origin.OC. It has a slope of 1.OD. The domain is all real numbers.SUBM

Answers

Let's determine the statement which is not a characteristic of the linear parent function.

The linear parent function has the form:

[tex]y=x[/tex]

We have the graph below:

The function has the following properties:

• The line goes through the origin.

,

• It has a range of all real numbers

,

• It has a domain of all real numbers

,

• It has a slope of 1.#

Therefore, the statement which is not a characteristic of the linear parent function is:

• The range is positive real numbers (y > 0).

ANSWER:

• A. The range is positive real numbers (y> 0)

If you borrow $200 for 12 years atan annual interest rate of 2%, howmuch will you pay altogether?

Answers

Answer:

$248

Explanations:

Let the money borrowed be the Principal, P = $200

Interest rate, R = 2%

Number of years, T = 12 years

The total amount to pay back will be:

Amount = Principal + Interest

Let us calculate the Interest, using the formula:

[tex]\begin{gathered} \text{Interest = }\frac{PRT}{100} \\ \text{Interest = }\frac{200\times2\times12}{100} \\ \text{Interest = 2}\times2\times12 \\ \text{Interest = 48} \end{gathered}[/tex]

Interest = $48

Amount = Principal + Interest

Amount = $200 + $48

Amount = $248

You will pay back $248 altogether

Given points J(3,4), A(7.5), and R(5,2), graph AJAR and its reflection image across the given line.Rx-axis

Answers

By reflection triangle JAR across x- axis, we get

By comparing the given options, we can see that the answer is option D

Determine if 0.59136363636363636... is rational or irrational and give a reason for your answer.

Need answer ASAP

Answers

Based on the given number which is 0.59136363636363636, we can infer that this is a rational number because it is repeating.

How to know a rational number?

A rational number is a number that when the denominator divides the numerator, the result is a decimal that is either terminating, or repeating. This means that the decimal will either stop at some point, or will keep repeating the same numbers.

The number, 0. 59136363636363636, is a rational number because it is a repeating decimal.

The part that is repeating is "63636" so this is a rational number.

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The given recurring decimal 0.59136363636 is a rational number.

Given that,
To determine whether the given recurring decimal value is rational or irrational.

What is a rational number?

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
The given recurring decimal = 0.591363636
From the above definition,
A rational number is a number that does have a repeating value after a certain value beyond the decimal point, unlike an irrational number that has repetition just after the decimal point.
So, the given number 0.59136363636 = 0.591 + 0.000363636
It is a rational number because it has repetition after 591 of 36 frequently.

Thus, the given recurring decimal 0.59136363636 is a rational number.

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Need help with math question ​

Answers

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

it’s 3 over 2



-2x-3=6/4 divide both sides by 2 and u get 3/2

arabella graphed the following systems equations. she says that (0.5,2.5) is the solution.

what is one way you can use substitution to see if Arabella is correct


substitute __ for ___

Answers

Answer:

4x y

Step-by-step explanation:

if a vector a has components ax < 0, and ay > 0, then the angle that this vector makes with the positive x-axis must be in the range group of answer choices 180° to 270° 0° to 90° 270° to 360° it cannot be determined without additional information. 90° to 180°

Answers

The angle vector 'a' makes with the positive x-axis is 90° to 180°.

What is a vector?

A vector is a quantity that has magnitude as well as direction one such example of this is velocity where we describe speed and direction also.

Given a vector a with two components one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the second quadrant.

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136/12 times 12 = ?

Anyone here have pinterest.....

Answers

Answer:

136 divided by 12 you get 11.3 times 12 you get 136

Answer:

(136÷12) × 12 = 136

Step-by-step explanation:

You start with the numbers in the parentheses ( which look like "( )" ), which is 136÷12 which is 11.3

1.) 136÷12=11.33

Then you multiply it by 12 which will get you 136.

2.) 11.33× 12=136

Your final answer will be 136

Have a nice day!

1 The parent function f(x) = x was shifted
7 units down to create function b. Which
represents function?
A
b(x) = -7f(x)
B b(x) = f(x) - 7
C
b(x) = f(x + 7)
D
b(x) = 7-f(x)
What is the answer ?

Answers

The answer is b(x)=f(x)-7, which is option B.

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The parent linear function is given below.

f(x) = x

The function is shifted downward direction by 7 units. Then the function b(x) will be given as,

b(x) = f(x) - 7

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

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Dividing polynomials
(12x5+4x4-24x²-8x) + (3x + 1)

Answers

Answer:

Any quotient of polynomials a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of r(x) is less than the degree of b(x). For example, (x²-3x+5)/(x-1) can be written as x-2+3/(x-1).

Other Questions
use the function f=8v to find the value of f when v =8 A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures 75.0cm wide. The biologist estimates she will need 3700.L of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit into the air tank. The purpose of the open door policy proposed by the united states in 1899 was to. Bananas are priced at $0.39 per pound. If Harvey buys 7 pounds of bananas, whatwill he expect to pay? Please help! Attachment is aboveI cant figure out 6 and 10 ............................................. i need help anyone who answer correctly gets points! Why does evolution always lead to more advanced species? Which of the following best states the theme of the poem? Which of the following best states the theme of the poem? War is necessary for society to function. War is a beautiful thing. War is a terrible thing. Always praise those who are deserving. What company was sued in 2004 for claiming that their products were made in theUnited States when components of the finished products actually came from China,Austria, and Denmark?RawlingsCraftsmanBeats Stetson Write a rational expression to determine how many cubbies high the book shelf will be. The graph shows a linear relationship between x and y. What is the rate of change of y with respect to x for this function? A) 2 B) -2 C) -1/2 D) 1/2 industrial revolution notes identify which communication concept is based on the idea that people seek media messages and interpret media texts in a way that confirms their beliefs. what specific provisions concerning slavery ended up in the final draft of the constitution? how did these compromises over slavery in the constitution affect national politics in the first half of the nineteenth century? the green river furniture company has a group comprised of the managers of the sales, warehousing, manufacturing, and shipping departments. it has a group manager and is not included in the company's organization chart. this type of group is known as a . -10=5/7(-7)+bSolve for B WHAT IS THIS ANSWER I NEED HELP PLSSS :( Describe the process by which a case is accepted in her by the Supreme Court Why did Spain create colonies? What was life like in Spanish settlements? Hint: how the Spanish organized, established order/roles , setup the town and protected it.