Triangle KLM ~ triangle KQP are similar. Solve for x.

Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

Rufina [12.5K]

To make a positive profit p(x)>0 we need to make:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Now we solve this for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3

5 0

2 years ago

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A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen

Rudik [331]

A. True. There are 52 cards total and you only pick 5. Order doesn't matter.

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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.

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C. False. The answer is roughly 0.000858 as shown by the calculation below

(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858

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D. False. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495

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E. True. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005

6 0

2 years ago

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The mass of a drop of water is about 0.025 of a gram. Which shows the mass written in scientific notation?

aleksklad [387]

2.5E-2 or 2.5x10^-2

Hope this can help you!

4 0

2 years ago

at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a bask

9966 [12]

10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.

8 0

2 years ago

Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failur

Solnce55 [7]

The correct answer is 0.5

8 0

2 years ago

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Triangle KLM ~ triangle KQP are similar. Solve for x. ​

Triangle KLM ~ triangle KQP are similar. Solve for x.