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Rashid [163]
3 years ago
7

Calculate the measure of angle D. Round to the nearest tenth.

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

Can't answer, don't know the geometric shape, lengths of shape, or just any information about angle D

Step-by-step explanation:

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Rationalize the denominator<br> x-3/√x+2 - √5​
Pachacha [2.7K]
I got this answer, I think it’s correct though.

8 0
2 years ago
6(2x + 5) = 2(3x – 2) <br> solution ? I NEED IT NOW SOMEONE PLEASE HELPPPPP!!!
AlladinOne [14]

\fbox{x = -17/3}

Explanation:

6(2x + 5) = 2(3x – 2)

[given]

6(2x) + 6(5) = 2(3x) + 2(-2)

12x + 30 = 6x – 4

[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]

12x + 30 = 6x – 4

–6x –6x

6x + 30 = -4

[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]

6x + 30 = -4

–30 –30

6x = -34

[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]

6x = -34

÷6 ÷6

x = -34/6

[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]

x = -17/3

[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]

6 0
3 years ago
Read 2 more answers
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:

<u>Part A </u>

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

<u>Part B </u>

<u>(Fixed Cost)</u>

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 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

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

<u>Part C </u>

<u>Profit Function </u>

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

<u> Part D </u>

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.

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3 years ago
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write a polynomial function of least degree with integral coefficients having zeros that include -1 and 1 + 2i
SOVA2 [1]

Answer:

Step-by-step explanation:

hello :

a polynomial function is:

f(x) = a (x+1)(x-1)(x-2i)    .... a ≠ 0

7 0
3 years ago
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