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Anna35 [415]
4 years ago
7

You make both rocking chairs and bar stools. You charge $100 for every rocking chair and $40 for every bar stool. Which expressi

on represents your income if you sell r rocking chairs and b bar stools?
Mathematics
2 answers:
Gelneren [198K]4 years ago
6 0
100r+40b=income
You have to multiply $100 per rocking chair and add it to $40 per bar stool to get our income.

lidiya [134]4 years ago
4 0

Answer:

The answer is Income=100*r+40*b

Step-by-step explanation:

In this case we have to construct an expression that describe the income of selling the rocking chairs ($100 each - r) and the bar stool ($40 each - b), so the total income will depend on the addition of this two variables multiplied by its individual price, this is:

Income=100*r+40*b

The answer is Income=100*r+40*b

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g 7. Find Re f and Im f and find their values at the given z. (Both answers should be included) f = z⁄(z + 1), z = 4 − 5
Schach [20]

Answer:

The real and imaginary parts of the result are \frac{1441}{1601} and \frac{4}{1601}, respectively.

Step-by-step explanation:

Let be f(z) = \frac{z}{z+1}, the following expression is expanded by algebraic means:

f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}

f(z) = \frac{z^{2}-z}{z^{2}-1}

f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}

If z = 4 - i5, then:

z^{2} = (4-i5)\cdot (4-i5)

z^{2} = 16-i20-i20-(-1)\cdot (25)

z^{2} = 41 - i40

Then, the variable is substituted in the equation and simplified:

f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}

f(z) = \frac{37-i35}{41-i39}

f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}

f(z) = \frac{1517-i1435+i1443+1365}{3202}

f(z) = \frac{2882+i8}{3202}

f(z) = \frac{1441}{1601} + i\frac{4}{1601}

The real and imaginary parts of the result are \frac{1441}{1601} and \frac{4}{1601}, respectively.

8 0
3 years ago
What is the factored form of r27-s30?
lorasvet [3.4K]

This is what I get   First is to get them to perfect squares .  R27 = r9^3 S30= s10^3 =(a-b)(a^2+ab+b^2) Where a=r9 and b=s10  (R9-s10)((r9)^2+r9+s10+(s10)^2)  Now simplify To get   (R9-s10)(r18-r9+s10+s20)

7 0
3 years ago
Read 2 more answers
50pts!! Which expression is equivalent to the polynomial given below? 54x+30
Ostrovityanka [42]

Answer:

6(9x+5)

Step-by-step explanation:

6*9x = 54x

6*5 = 30

8 0
3 years ago
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A new clothing store is offering 30 free points to customers who sign up for their rewards card. Then for each shirt a customer
Snezhnost [94]
25 additional points. 25*3=75
30+75=105
8 0
3 years ago
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1/9-1/x divided by 1/81-1/x2
dedylja [7]

STEP

1

:

           1

Simplify   —

           x

Equation at the end of step

1

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 1    1

 — -  —

 9    x

STEP

2

:

           1

Simplify   —

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Equation at the end of step

2

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 1    1

 — -  —

 9    x

STEP

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:

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Simplify   ——

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Equation at the end of step

1

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  1 1      1  1

 (—-—) ÷ (——-——)

  9 x     81 x2

STEP

2

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Simplify   ——

           81

Equation at the end of step

2

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  1    1      1     1

 (— -  —) ÷ (—— -  ——)

  9    x     81    x2

(9x)/(x+9)-:(x-9)/(9x)

7 0
4 years ago
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