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Minchanka [31]
3 years ago
11

Please please please helpppppp 1.) Explain why the equation (x-3)2 - 40=9 has two solutions. Then, solve the equation to find th

e
solutions. Show your work
Mathematics
1 answer:
Airida [17]3 years ago
8 0

x = 6 , x = -4 are the 2 solutions for the given equation

Step-by-step explanation:

Step 1 :

Given equation = (x-3)² - 40=9

Simplify this equation by expanding (x-3)² using the identity

(x-y)² = x² + y² - 2xy

here x = x and y = 3

Substituting we have,

x² + 9 -6x -40 = 9

=> x²-6x-40 = 9-9

=>  x²-6x-40 = 0

Step 2:

We can see that the above simplified equation is quadratic equation as the power of x is 2

When we solve for x, we will get 2 values for x , which means this equation  is true for 2 values of x. Hence this equation has 2 solutions.

Step 3 :

Solving for x²-6x-40 = 0

=> (x-6)(x+4) = 0

=> x-6 = 0    x +4 = 0

=> x = 6 , x = -4

Step 4 :

Answer :

x = 6 , x = -4 are the 2 solutions for the given equation

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Answer:

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gregori [183]
The diameter of the tank is approximately 95.2ft
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3 0
3 years ago
(This question is related to the picture question)
UNO [17]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

  • Let's test it

Initial: 10,000

After 1 year

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--

After 2 years

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--

Let's try our equation.

f(x) = 10,000 (1.5)^x

x=2

10,000(1.5)^2

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