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olya-2409 [2.1K]
3 years ago
12

Find two consecutive numbers if the square root of the smaller number is 3 less than the bigger number.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

The numbers are 4 and 5

Step-by-step explanation:

Let

x------> the smaller number

x+1----> the bigger number

we know that

\sqrt{x}=(x+1)-3 ----> equation that represent the situation

solve for x

\sqrt{x}=(x-2)

squared both sides

x=(x-2)^{2}\\x=x^{2}-4x+4\\x^{2}-5x+4=0

using a graphing calculator to solve the quadratic equation

see the attached figure

the solution is

x=4

x+1=5

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3 years ago
What equation describes the circle that is centered at (8, 3) and has a radius of 9
Sloan [31]

Answer:

<h3> (x-8)²+(y-3)² = 81</h3>

Step-by-step explanation:

The general equation of a circle is expressed as;

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Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cos
faltersainse [42]

Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

4 0
3 years ago
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