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3 years ago

Please answer this question.

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Answer:

2x - 5

Step-by-step explanation:

1/5(10x - 25)

Use the Distrubitve Property

1/5 * 10x = 2x

1/5 * 25 = 5

New equation is 2x - 5

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Lines a and b are parallel. What is the measure of angle s?

Arte-miy333 [17]

Answer:

Step-by-step explanation:

t = 158 Corresponding angles

t + s = 180 They are supplementary angles

158 + s = 180 Subtract 158 from both sides

s = 180 - 158

s = 22

As a note, all angles in this situation are either 158 or 22.

3 0

3 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

A triangle with equal sides and a square have the same perimeters. The length of a side of the triangle is 2x + 2. The length of

andreev551 [17]

Answer:

x=13

Step-by-step explanation:

$3(2x+2)=4(x+8)\\6x+6=4x+32\\2x+6=32\\2x=26\\x=13$

3 0

3 years ago

Any line with no slope is parallel to the *x-axis *y-axis *line y = x

Aleks04 [339]

The x-axis.

In the form Y = mx + b

m is the slope, so no slope means that my is zero so that means x is zero also.

So you would end up with

y = b so that means y will always be that value and the only thing that will change is the x value. This will create a horizontal lines that is parallel to the x-axis

3 0

3 years ago

what is the value of y in the solution to the following system of equations? (5 points) 2x y = −4 5x 3y = −6

TiliK225 [7]

2x+y=-4
5x+3y=-6

multiply first equaton by -5 and second by 2 then add them

-10x-5y=20
10x+6y=-12 +
0x+1y=8

y=8

the y value is 8

7 0

3 years ago