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Masteriza [31]
2 years ago
6

Use distributive property to remove the parentheses. Simplify your answer as much as possible please.

Mathematics
1 answer:
slavikrds [6]2 years ago
7 0

Answer:

  28y^3 -35y^5

Step-by-step explanation:

  = 7y^3(4) -7y^3(5y^2)

  = 28y^3 -35y^5

_____

The applicable rule of exponents is ...

  (y^a)(y^b) = y^(a+b)

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It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio
katrin2010 [14]

Answer:

y=\frac{24}{x}

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.  

We know that two inversely proportional quantities are in form y=\frac{k}{x}, where y is inversely proportional to x and k is constant of variation.

Upon substituting y=12 and x=2 in above equation, we will get:

12=\frac{k}{2}

Let us solve for constant of variation.

12\cdot 2=\frac{k}{2}\cdot 2

24=k

Now, we will substitute k=12 in inversely proportion equation as:

y=\frac{24}{x}

Therefore, the formula for the given scenario would be y=\frac{24}{x}.

3 0
3 years ago
A chocolate manufacturing company produces two types of chocolate: A and B. Ingredients required for manufacturing the products
Karolina [17]

Answer:

The maximum profit is when they make 10 units of A and 2 units of B.

Step-by-step explanation:

Let x is units of milk

Let y units of cacao

Given that :

The company's production plant has a total of 22 units of milk and 46 units of cacao available.

2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)

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Graph the constraint equations and find the point of intersection to determine the feasibility region.

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The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.

Hence, we substitute (10, 2)  into the above function:

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The maximum profit is when they make 10 units of A and 2 units of B.

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