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2 years ago

I need help answering this question!! Why does the equation (x-4)^2 – 28 = 8 have two solutions?

Mathematics

1 answer:

andre [41]2 years ago

5 0

Answer:

For your first answer it is because they are two different ways to solve the equation

Step-by-step explanation:

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8

The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

<h2>Solution 2:</h2>

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

<h3>I hope this helps</h3><h2>IF IT DOES HELP PLEASE GIVE IT A BRAINLIEST!</h2>

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3 years ago

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3 years ago

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The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa

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Step-by-step explanation:

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3 years ago

(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a

vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

$SD = \sqrt{(N)(P)(1 - P)}$

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

$SD = \sqrt{(100)(0.5)(1-0.5)}$

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

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3 years ago