Write the slope-intercept form of the equation : a) 4x-2y = 3

Answers

Answer 1

Answer:

Answer:

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

Step-by-step explanation:

slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtraction

First, subtract 4x from both sides of the equation:

4x (-4x) -2y = (-4x) + 3

-2y = -4x + 3

Next, divide -2 from both sides of the equations:

$((-2y))/(-2) = ((-4x + 3))/(-2)$

$y = (-4)/(-2)x + (3)/(-2)$

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

$y = 2x - (3)/(2)$ is your answer.

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1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

Distribute $(1)/(6)$ through the parentheses : $(1)/(6)$ y + $(1)/(6)$ y + 2 - 2

Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : $(1)/(6)$ y + $(1)/(6)$ y

Calculate the sum : $(1)/(3)$ y

Solution : $(1)/(3)$ y

Answer:

The answer is 1/6y+1/6(y+12)-2

A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores. The following information is given: Nut Type Minimum Amt Maximum Amt Cost per pound Almond 10% 100% $2.75 Peanut 0% 50% $0.55 Walnut 20% 100% $1.70 Cashew 0% 40% $1.20 The can costs $0.10. Find the proportion of these nuts by weight to maximize the profit of the nut manufacturer. Use those proportions to select the answer closest to the profit that can be made per can if it is sold to the retail store at $3.00 a can. Group of answer choices $1.65 $1.35 $2.76 $1.77

Answers

By maximizing the amount of cheaper nuts and minimizing the amount of expensive nuts, the manufacturer should use a mix of 50% peanuts, 40% cashews, and 10% almonds. The profit per can will be $1.87, closest to $1.77 out of the given choices.

This problem involves linear programming, and it is a problem of maximizing profit under given constraints. The proportions of nuts can be found using optimization techniques that are usually covered in calculus or advanced algebra classes, but a quick answer can be given here by considering the cost of each type of nut.

The manufacturer should maximize the amount of the cheapest nuts in the mix to increase the profit. So, they should fill the can with 50% peanuts ($0.55 per lb), 40% cashews ($1.20 per lb), and 10% almonds ($2.75 per lb) to meet the minimum requirement for almonds and maximum constraints for peanuts and cashews. The average cost of this mix per pound will be (0.5x0.55)+(0.4x1.2)+(0.1x2.75) which equals $1.025 per lb. If the can costs $0.10, the total manufacturing cost per can becomes $1.125.

If the nut mix is sold at $3.00, the profit per can will be $3.00 - $1.125 which equals $1.87. This is closer to $1.77. Therefore, the answer should be $1.77 if we consider rounding to the closest number. Note that we can't fill a full can because the total proportion is already 100%, but we have ignored the volume taken up by the can itself in this calculation.

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Answer:

Nut

Step-by-step explanation:

Earlier we analyzed the revenue earned by the junior class at East High School from their discount card fundraiser. They hada goal to earn a profit of more than $10,000 from the fundraiser.
Since the local area businesses are supporting the fundraiser, the only cost to the students is the production cost. So, the
profit from the cards is found by subtracting the total production cost from the total revenue. Each card costs $0.20 to
produce and is sold for $20.
Select the correct answer from each drop-down menu.
If the class sold c cards, the inequality that represents their profit goal is
This year's class sold 520 cards, so they
their goal because they sold more than
cards.

Answers

Approximately 520 cards actually sold this year in the class, more than 505, have fulfilled their objective.

According to the question,

If the students sell c cards the,

The total revenue,

The total production costs,

0.2c

The inequality of profit, or income, which is less than 10 thousand dollars represents their objective, such as:

→ $20c-0.2c>10,000$

→ $19.8c>10,000$

→ $c > (10,000)/(19.8c)$

→ $c> 505.05$

or,

→ $c>505$

The class had to sell more than 505 cards just to meet their goals.

Thus the above answer is right.

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Answer:

Sample Answer for Edmentum

What is the value of the expression when a = 6, b = 4, and c = 8? 2a/3b−cA: 1

B: 3

C: 8

D: 12

Answers

Answer:

Step-by-step explanation:

$(2a)/(3b-c) \n=(2(6))/(3(4) - 8) \n=(12)/(12-8) \n=(12)/(4) \n=3$

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A formal power series over R is a formal infinite sum f = X[infinity] n=0 anxn, where the coefficients an ∈ R. We add power series term-by-term, and two power series are the same if all their coefficients are the same. (We don’t plug numbers in for x, because we don’t want to worry about issues with convergence of the sum.) There is a vector space V whose elements are the formal power series over R. There is a derivative operator D ∈ L(V ) defined by taking the derivative term-by-term: D X[infinity] n=0 anxn ! = X[infinity] n=0 (n + 1)an+1xn What are the eigenvalues of D? For each eigenvalue λ, give a basis of the eigenspace E(D, λ). (Hint: construct eigenvectors by solving the equation Df = λf term-by-term.)

Answers

Answer:

Check the explanation

Step-by-step explanation:

where the letter D is the diagonal matrix with diagonal entries λ1,…,λn. Now let's assume V is invertible, that is, this particular given eigenvectors are linearly independent, you get M=VDV−1.

Kindly check the attached image below to see the step by step explanation to the question above.

Calculate 25.13 -(4.6²-3x5)