MATHEMATICS HIGH SCHOOL

If x represents the number of hours machine X runs and y represents the number of hours machine Y runs, what is the objective function: "c = xy"?

Answers

Answer 1
Answer:

Answer: Here's my answer

Step-by-step explanation:

The objective function given, "c = xy", represents the cost (c) associated with the operation of machine X and machine Y, where x represents the number of hours machine X runs and y represents the number of hours machine Y runs.

To understand the objective function, let's break it down step by step:

1. "c" represents the cost associated with the operation of the machines. This could include expenses such as maintenance, energy consumption, or labor costs.

2. "x" represents the number of hours machine X runs. This indicates the duration for which machine X is in operation.

3. "y" represents the number of hours machine Y runs. This indicates the duration for which machine Y is in operation.

4. The objective function "c = xy" states that the cost (c) is calculated by multiplying the number of hours machine X runs (x) by the number of hours machine Y runs (y). This means that the total cost is proportional to the product of the hours of operation for both machines.

For example, if machine X runs for 5 hours (x = 5) and machine Y runs for 3 hours (y = 3), the cost (c) would be calculated as follows:

c = xy

c = 5 * 3

c = 15

In this case, the cost (c) would be 15, representing the total cost associated with the operation of both machines for the given hours.

Therefore, the objective function "c = xy" calculates the cost based on the product of the hours of operation for machine X and machine Y.

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Simplify the complex fraction: 4/(x+3)/(1/x+3) A. 12x+4/x^2+3x. B. 4x/3x+9. C. 4x/3x^2+10x+3. D. None of these

Answers

The answer is C. 4x/3x^2+10x+3

( (4)/(x+3))/( (1)/(x) +3) = ( (4)/(x+3))/( (1)/(x)+ (3x)/(x)) =( (4)/(x+3))/( (1+3x)/(x) ) = (4)/(x+3)* (x)/(1+3x)= (4x)/((x+3)(1+3x)) = (4x)/(x+3 x^(2) +3+9x) = (4x)/(3 x^(2) +10x+3)

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

((4)/(x+3))/(((1)/(x)+3))

((4)/(x+3))/(((1)/(x)+3))=((4)/(x+3))/((1+3x)/(x))

The complex faction can be simplified as

(((a)/(b)))/(((c)/(d)))=(a)/(b)* (d)/(c)

((4)/(x+3))/(((1)/(x)+3))=(4)/(x+3)* (x)/(1+3x)

((4)/(x+3))/(((1)/(x)+3))=(4x)/((x+3)(1+3x))

((4)/(x+3))/(((1)/(x)+3))=(4x)/(x(1+3x)+3(1+3x))

((4)/(x+3))/(((1)/(x)+3))=(4x)/(x+3x^2+3+9x)

((4)/(x+3))/(((1)/(x)+3))=(4x)/(3x^2+10x+3)

Therefore the correct option is C.

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?112.50 ft2

145.31 ft2

147.66 ft2

290.63 ft2

Answers

The answer is 141.35 ft²

Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 ft²

Before the second break, it was painted:
75 ft² ÷ 2 = 37.5 ft²
Now it's left:
75 ft² - 37.5 ft² = 37.5 ft²

Before the third break, it was painted:
37.5 ft² ÷ 2 = 18.75 ft²
Now it's left:
37.5 ft² - 18.75 ft² = 18.75 ft²

Before the fourth break, it was painted:
18.75 ft² ÷ 2 = 9.375 ft²
Now it's left:
18.75 ft² - 9.375 ft² = 9.375 ft²

Before the fourth break, it was painted:
9.375 ft² ÷ 2 = 4.6875 ft²
Now it's left:
9.375 ft² - 4.6875 ft² = 4.6875 ft²

Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²

When the painter takes his fifth break, there will be 141.35 ft² of the wall painted.

The painter would have 145.3125 ft^2 painted after the fifth break.

What is x+y=3 2x+4y=8

Answers

x + y = 3
2x + 4y = 8

This is a system of equations. You can solve it using elimination. Start by multiplying the top equation by -2.
(x * -2) + (y * -2) = (3 * -2)
-2x - 2y = -6

Now add that and the bottom equation. This will cancel out x.

     -2x - 2y = -6
+    2x + 4y = 8
-----------------------
             2y = 2

Solve for y.
2y = 2
y = 2/2
y = 1

Now plug 1 in for y in the first equation.

x + y = 3
x + 1 = 3

Solve for x.

x + 1 = 3
x = 3 - 1
x = 2

So x = 2 and y = 1.

Help me please Algebra Two!!

Answers

Answer:

a. -2, even mult. and 1, odd mult.

b.(x+2)^2(x-1)

c. Odd degree of 3 or higher, likely higher due to the turns in the graph.

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

  • The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
  • Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
  • The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.

In this graph, there are two real zeros: -2,1

We can write them in intercept or factored form as (x-1) and (x+2).  

Because the graph never crosses the x-axis at x=-2 the zero has an even multiplicity of at least 2.  The opposite is true for x=1 because it crosses. Therefore it has an odd multiplicity of at least 1.

The graph is a sideways s shape and ends up so is positive.  

This means the function has a degree of 3 or higher with the degree being odd.

Help and plz explain for i can understand and will remember how to do it and DC for i can put on my notes

Answers

Answer in the document below.
(3)/(14):(7)/(10)= (3)/(14)\cdot(10)/(7)= (3)/(7)\cdot(5)/(7)=(15)/(49)

Yancey collects plastic banks .He has three different banks: a pig, a cow, and a horse. How many ways can Yancey arrange his banks on a shelf.

Answers


let h = horse, let c = cow, let p = pig

so,

hcp

hpc

cph

chp

phc

pch

so, that is 6 different ways she can arrange it.  

pig, cow, horse

pig, horse, cow

horse, pig, cow

horse, cow, pig

cow, pig, horse

cow, horse, pig
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