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mr_godi [17]
3 years ago
6

Can you help me with a rational expressions & eplquations please

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
Yes I can help you with rational expressions and eplquations!
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Solve the equation 121x2+64=0
olganol [36]

Answer:

x = ± 8i/11

Step-by-step explanation:

121x2+64=0

121x^2 = -64

x^2 = -64/121

x = +/- √(-64/121)

x = +/- 8i/11

4 0
3 years ago
The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla
Flauer [41]

Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

where pie (the symbol "π") represents PROFIT.

Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

75x + 84 = 0.3712x

X = -1.126units

Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

R = P×Q

Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

(C) This is the profit function from producing and selling X units of the product: π(x) = R(x) - C(x)

4 0
3 years ago
Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How muc
Maksim231197 [3]

Answer:

$0.33

Step-by-step explanation:

5.11-3.79=1.32 1.32/4

Hope this helps :)

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.
Serggg [28]

Answer:

481

Step-by-step explanation:

Lets say width = x

Length = x+24

Perimeter is 100 so

100=x+24+x+24+x+x

100=4x+48

100-48=4x

52=4x

x=13

So width = 13

Length = 37

37x13=481

4 0
3 years ago
Find the slope and y-intercept of the graph. y=5x-3
storchak [24]

Answer:

Step-by-step explanation:

y=mx+b

your m is the slope and your b is the y-intercept

so for y=5x-3 your slope would be 5 and your y-intercept would be -3

6 0
3 years ago
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