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chubhunter [2.5K]
2 years ago
11

A craftsman can sell 20 jewelry sets for $600 each. He knows that for each additional set he makes, the price of each set will d

ecrease by $10. How many jewelry sets should he make if he wants to maximize his earnings?
Mathematics
2 answers:
Mumz [18]2 years ago
5 0

Answer:

40 jewelry sets

Step-by-step explanation:

Step 1: assign variables

x = additional # of sets

total # of sets = 20 + x

price = 600 - 10x

Step 2: make an equation

f(x) = (20 + x)(600 - 10x)

Step 3: find x intercepts

0 = (20 + x)(600 - 10x)

x = -20,  x=60

Step 4: find the midpoint/average of x intercepts

(60 - 20) / 2 = 20

Step 5: plug it into the "total # of sets" equation

20 + 20 = 40

40 jewelry sets!

Nesterboy [21]2 years ago
4 0

Answer:

40 sets

Step-by-step explanation:

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- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
What is the answer of this question plzzzzzzzzzzz say fast​
Softa [21]

Answer:

1=3=70^{0} \\2=4=5=110^{0}

Step-by-step explanation:

Given angle is 110°

Now,

4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ]

From the figure,

4=110^{0}\,\,;[alternate\,\,angle]

So,\,\,2=5=110^{0}

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

Hope you have understood this.....      

ask me if you have any confusion.....      

if you liked it pls mark it as the brainliest

7 0
2 years ago
Read 2 more answers
Please help me
yKpoI14uk [10]

9514 1404 393

Answer:

  A)  5x+12 = -12x-12

  D)  5x+12 = -5x-12

Step-by-step explanation:

If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.

A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution

B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions

C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions

D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution

6 0
2 years ago
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amid [387]
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2/4
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I hope this is right, the negatives should go first because you are taking away, then positives 
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3 years ago
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Nostrana [21]

Answer:

x = -2

∠A = 35

Step-by-step explanation:

x + 37 + x + 57 = 90

reduce:

2x = -4

x = -2

∠A = 37-2 = 35

8 0
2 years ago
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