The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function (simplify to slope- intercept form). c. Use the linear function in part (b) to determine the base cost of making your own fruit juice.

Answers

Answer 1

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

Answer 2

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.


Related Questions

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Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

how would i find the slope and y intersept of 3y=5x-18

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Answer:

y=5/3x−6

5/3 is your slope

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 5x - 18 ( divide all terms by 3 )

y = [tex]\frac{5}{3}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 6

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40 cm

Step-by-step explanation:

You do your area divided by your width I think (don't trust my answer)

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Answer:

where are the options please

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Answer:

The explicit formula that represents the amount of money left on the card

is a[tex]_{n}[/tex] = 53.25 - 3.25n

The value of the card after 12 lunches is $14.25

Step-by-step explanation:

The explicit formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where

a[tex]_{n}[/tex] is the nth terma is the first termd is the common difference between each 2 consecutive terms

In the question

∵ You have 50 dollars

∵ The money left after lunch on Monday is 46.75 dollars

∵ The money left after lunch on Tuesday is 43.50 dollars

∴ The terms of the sequence are 50, 46.75, 43.50

∵ 46.75 - 50 = -3.25

∵ 43.50 - 46.75 = -3.25

→ That means there is a common difference between each 2 terms

d = -3.25

a = 50

→ Substitute the values of a and d in the rule above

a[tex]_{n}[/tex] = 50 + (n - 1)(-3.25)

→ Simplify it

∵ a[tex]_{n}[/tex] = 50 + -3.25(n) + -3.25(-1)

∴ a[tex]_{n}[/tex] = 50 - 3.25n + 3.25

→ Add the like terms

a[tex]_{n}[/tex] = 53.25 - 3.25n

The explicit formula that represents the amount of money left on the

   card is a[tex]_{n}[/tex] = 53.25 - 3.25n

∵ n is the number of lunches

n = 12

→ Substitute n by 12 to find the amount of money left on the card

∵ a[tex]_{12}[/tex] = 53.25 - 3.25(12)

a[tex]_{12}[/tex] = 14.25

The value of the card after 12 lunches is $14.25

Will mark Brianliest !!!!!!!!!!!!!! Answer correctly please!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

Vertical angels are always equal, there fore angle A = angle B.

If angle A = angle B, and

angle A = 3x - 9 and angle B = x + 3, then

3x - 9 = x + 3

Now you can solve this like a regular inequality

Start by subtracting x by it's self then 3x to get both variables on one side.

2x - 9 = 3

Now you can add 9 to it's self and to 3 on the other side.

2x = 12

Finally, divide 2 by it's self and 12.

x = 6

What are the domain and range of each relation?

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Answers

Answer:

Step-by-step explanation: Domain is the x coordinates and range is the y coordinates

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O A
a function that is one-to-one
0
В.
a function that is many-to-one
o
C.
a function that is one-to-many
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D.
a relation that is not a function


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Answer:

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Which symbol makes the following number sentence correct?

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=
>

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Answer:

The answer is <

Step-by-step explanation:

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Who was the imposter more often?

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Answer: Claire

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Claire = 4/16

Step-by-step explanation:

1/4 x 16 = 4

4/16

The following pattern starts with 4 and uses the rule add 6 to the previous term.
4,10,16,22,28
Which of the following statements is true?
Choose 1 answer:
Every other number in the pattern is odd.
B
The pattern includes only multiples of 4.
Every number in the pattern is greater than the previous number.

Answers

Answer:

Every number in the pattern is greater than the previous number.

Answer:

Every number in the pattern is greater than the previous number. Why?

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Wow that does look confusing lol!

Answer: A

Step-by-step explanation:

PLEASEEEEEE HELP ME!!! JUST 3 QUESTIONS!!!! WILL CHOSE BRAINLIEST! I NEEDDD THESE BONUS POINTS!!! Instructions at the top! :)

Answers

Answer:

1. Perpendicular2. Neither3.  Parallel

Step-by-step explanation:

Finding slopes of the lines to determine their relationship

1. J(1, 9), K(7, 4), L(8, 13), M(-2, 1)

Slope of JK

m = (4-9)/(7-1) = -5/6

Slope of LM

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2 J(13, -5), K(2, 6), L(-1, -5), M(-4, -2)

Slope of JK

m = (6-(-5))/(2-13) = 11/(-11) = -1

Slope of LM

m = (-1-(-5))/(-4-(-1)) = 4/(-3) = -4/3

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3. J(-10, -7), K(-4, 1), L(-3, 2), M(-6, -2)

Slope of JK

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Slope of LM

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Answer:

1. Perpendicular

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3.  Parallel

Step-by-step explanation:

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Answers

Answer:

18 pitches.

Step-by-step explanation:

I'm assuming the "9 out of 15" is the fraction of pitches Tony hit at baseball practice.

Hence, Tony missed 6 out of 15 pitches.

6/15 * 45

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Answer:

18

Step-by-step explanation:

You have to start with how many he hit.

Let the number of pitches he hit = x

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x = 405/15

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===================

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Answers

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Answers

Answer:

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Step-by-step explanation:

Given the following temperature values :

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Ordering the values above from greatest to least ; (descending order)

Expressing all temperature values in the same format :

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-5.1

24.0

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Find the value of sec theta, if cos theta =2/19; 0degrees less than and equal to theta less than and equal to 90 degrees.



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Answers

Answer:

19/2

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

To find "A per B", divide the quantity of A by the quantity of B. It can help to keep the units with the numbers.

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Answer:

sorry I'm not interested

Step-by-step explanation:

i hope you get some payers tho. and earn a bit of money!

2.
The bus is 33.5 feet long. The city train is 45.9 feet longer than the bus. How long
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Answers

Answer:

88.4

Step-by-step explanation:

33.5 + 45.9 = 88.4

The length of the city train is 79.4 feet.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the Bus = 33.5 feet.

Length of the City train:

= Length of the Bus + 45.9

= 33.5 + 45.9

= 79.4 feet.

Thus,

The city train is 79.4 feet.

Learn more about expressions here:

https://brainly.com/question/3118662

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Kevin found his average number of text messages sent over three days using the expression below. Which statement best describes the number of the expression?

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Answer:

option C.

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Answer:

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