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2 years ago

Add the following fractions 2/10 + 6/10

Mathematics

2 answers:

zvonat [6]2 years ago

6 0

Answer:

8/10

Step-by-step explanation:

add the numerator but keep the denominators the same

you could also simplify to 4/5

liubo4ka [24]2 years ago

3 0

Answer:

2/10 + 6/10

= 8/10

=4/5

Therefore the answer is 4/5

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Solve the equation. |4r - 16| = 12 i need help asap

soldi70 [24.7K]

I believe the answer is 7

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3 years ago

If g(x)=x^2+4x-5, find g(-4) PLEASE HELP

lana [24]

Answer:

-5

Step-by-step explanation:

g(x)=x^2+4x-5

g(-4)=(-4)^2+4(-4)-5

g(-4)=(-4)(-4)+(-16)-5

g(-4)=16-16-5

g(-4)=0-5

g(-4)=-5

7 0

2 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

2 years ago

What are the distinct factors of 75

Lelechka [254]

The factors and 75 is 175 and 25 and three and five and 30

3 0

3 years ago

Area of rectangular figures

iren2701 [21]

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

3 0

2 years ago