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gulaghasi [49]
3 years ago
8

5. Anthony owns a business that sells parts for electronic game systems. The profit for his business can be

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Solution given:

p(x)=0

-0.2x2 + 10x – 25=0

-0.2(x²-50x+125)=0

x²-2.25.x+25²=25²-125

(x-25)²=500

x-25=\sqrt{500}

x-25=±10√5

taking positive

x=22.3606+25

x=47.3606

taking negative

x= -22.3606+25

x=2.639

so

maximum profit Anthony will receive :<u>4</u><u>7</u><u>.</u><u>3</u><u>6</u><u>0</u><u>6</u><u>*</u><u>1</u><u>0</u><u>0</u><u>0</u><u>=</u><u> </u><u>4</u><u>7</u><u>3</u><u>6</u><u>0</u><u>6</u><u>0</u><u>0</u><u>(</u><u>approach</u><u>)</u>

<u>now</u>

<u>47360</u><u> </u><u>.</u><u>6</u><u> </u><u>o</u><u>r</u><u> </u><u>2639</u><u> </u>parts he would need to sell to receive the maximum profit

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Alexus [3.1K]

Answer:

It would be the first one (y-2=1/3(x-2))

Step-by-step explanation:

The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.

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vazorg [7]

Answer:

0.0023 = 0.23% probability that all 5 balls selected will be the same color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

Either 5 amber from a set of 6, or 5 blue from a set of 5. So

D = C_{6,5} + C_{5,5} = \frac{6!}{5!1!} + \frac{5!}{5!0!} = 6 + 1 = 7

Total outcomes:

5 balls selected from a set of 6 + 5 + 4 = 15. So

T = C_{15,5} = \frac{15!}{5!10!} = 3003

Probability:

p = \frac{D}{T} = \frac{7}{3003} = 0.0023

0.0023 = 0.23% probability that all 5 balls selected will be the same color

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3 years ago
Max is shipping a present to his grandmother. A. What are three factors that will affect the weight of the box? What are three f
Novay_Z [31]

Answer:

Factors that will affect the weight of box and those which will not affect the weight have been described below under different headings-

Step-by-step explanation:

Factors affecting weight of the box -

  • Size - the larger the will be the size of the box, more will be its weight.
  • Material - the material used to make the box will also influence the weight because if lighter material is used then the weight of the box will be less as compared to the heavier material.
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Factors that will not affect the weight of box -

  • Colour - whatever be the colour of box, weight will not be influenced by it.
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4 0
3 years ago
You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, w
swat32

Answer:

g(x) = -0.1x^2 + 0.5x + 3.6

Step-by-step explanation:

Given

h(x) = -0.1x^2 + 0.7x  + 3

Required

Determine the new function

From the question, we understand that the new function wants the water to hit the ground 1 ft farther.

1 ft farther implies x + 1

So, in the given function, we substitute x + 1 for x in h(x) = -0.1x^2 + 0.7x  + 3

This gives:

h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1)  + 3

Expand Bracket

h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1)  + 3

h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1)  + 3

h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7  + 3

Collect Like Terms

h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7  + 3-0.1

h(x + 1) = -0.1x^2 + 0.5x + 3.6

Hence, the new function is:

g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6

g(x) = -0.1x^2 + 0.5x + 3.6

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KiRa [710]

Answer:

-9 =k

Step-by-step explanation:

h(x)=x^2+3 and g(x)=x^2-6

g(x)=h(x)+k

Substitute in

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Subtract 3 from each side

-6-3 = 3-3+k

-9 =k

7 0
4 years ago
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