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1 year ago

Why does the equation (x-4)^2-28=8 have two solutions?

Mathematics

2 answers:

aksik [14]1 year ago

5 0

Answer:

This is because it is a quadratic equation.

It can therefore be solved using either factorization method or completing of squares method.

the factorization method has been worked above.

Aliun [14]1 year ago

4 0

<h3>Answer:</h3>

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

<h3>Step-by-step explanation:</h3>

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8The 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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Citrus2011 [14]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately no

dimaraw [331]

Answer: 5.37

Step-by-step explanation:

Let x = ACT scores.

Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.

i.e. P(X>28)=0.09 (i)

Now,

$P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]$ (ii)

One -tailed z value for p-value of 0.09 =1.3408 [By z-table]

From (i) and (ii)

$\dfrac{7.2}{\sigma}=1.3408\\\\\Rightarrow\ \sigma=\dfrac{7.2}{1.3408}\\\\\Rightarrow\ \sigma=5.37$

Hence, the standard deviation = 5.37

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2 years ago

What is the slope of the line that passes through (-4, 6) and (-6, 20)?

Hatshy [7]

Answer:

-7

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

= ( 20-6)/(-6- -4)

= ( 20-6)/ ( -6+4)

= 14/-2

= -7

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2 years ago

25 points!! please answer

melomori [17]

ac is the answer

hope that helps

6 0

2 years ago

Read 2 more answers