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schepotkina [342]
3 years ago
10

Solutions of the equation: z2 - 12z + 36 = 0?

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
36 becomes a negative 

First -36 + -1 -37
Next: -18 + -2 = -20 
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12

We change z2 to z^{2}

z^{2} - 6(z) = 36 

z(z) - 6

Because, we add up for the first two terms

Switch up, up the problem 6(z) - 6

Now, let's add the number 4 on the terms 
z - 6 (z - 6) 

Then, let's multiply z - 6 from z - 6 

z - 6^{2} = ? 


From this problem we have to add 6 from the sides that we are working with 

Therefore, your answer for z is 6 
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Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad
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Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by  bike price × total number of bikes manufactured and sold

∴ R(x)  = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0
3 years ago
What is the inverse of the function?<br> f(x) = 1/3x-5
OlgaM077 [116]

Answer:

        -1

       f   (x) = -3(x + 5)

Step-by-step explanation:

1)  in f(x) = 1/3x-5, replace f(x)= with y= as follows:  y = (1/3)x - 5

2) interchange x and y, obtaining:  x = (1/3)y - 5

3) solve this result for y:  (1/3)y = -x - 5, or -(x + 5).  Next, multiply both sides by                        3 to eliminate the fraction (1/3):  y = -3(x + 5)

4)  replace y with the symbol for "inverse of f(x);

        -1

       f   (x) = -3(x + 5)

5 0
3 years ago
a store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of leans for $62.50, what is the am
vodomira [7]

Answer:

you would receive 12.5% of the discount

Step-by-step explanation:

20% off of 62.50 is 50; so you would pay $50

7 0
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The next number in series 7,9,13,29 is:​
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Answer:

285

Step-by-step explanation:

9 = 7 + 2¹

13 = 9 + 2²

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