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3 years ago

What is the value of n so that the equation has one solution? 2x squared-4x+n=0

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

8 0

The answer is 2.

Hope this helps!

GrogVix [38]3 years ago

4 0

Answer:

Step-by-step explanation:

2x^2 - 4x + n = 0 has only one solution when it can be represented as:

a(x-b)^2 = 0

Let us begin by factoring out the 2 we are left with:

2(x^2 - 2x + m) = 0 where 2 * m = n

Now x^2- 2x + m can be represented as (x-a)(x-b) where a + b = 2 and m = a * b

We want a = b and a + b = 2 so a = b = 1

Hence m = 1

So 2(x^2 - 2x + 1) = 0

So 2x^2 - 4x + 2 = 0

Hence n = 2

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ivann1987 [24]

I think 121

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2 years ago

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir

Olegator [25]

Answer:

A. The difference in height between the pelican and the heron is -33 feet.

E. The difference in height between the pelican and the trout is 40 feet.

F. The distance between the heights of the pelican and the trout is 40 feet.

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> A. The difference in height between the pelican and the heron is -33 feet</h3><h3> B. The difference in height between the pelican and the heron is 33 feet</h3><h3> C. The distance between the heights of the pelican and heron is -33 feet</h3><h3> D. The difference in height between the pelican and the trout is -40 feet</h3><h3> E. The difference in height between the pelican and the trout is 40 feet</h3><h3> F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />

Let be 0 the sea level.

Since the heron is perched in a tree 50 feet above sea level and directly below the heron the pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.

Then, you get that this is:

$17\ feet-50\ feet=-33\ feet$

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:

$-23$

Therefore you can find the difference in height between the pelican and the trout through the following subtraction:

$17\ feet-(-23\ feet)=17\ feet+23\ feet=40\ feet$

And the distance between them is 40 feet too.

8 0

3 years ago

A normal distribution has a mean 20 and standard deviation 5. What is the z score that corresponds to the value x=222

sashaice [31]

Answer: The z score that corresponds to the value x=22 is 0.4 .

Step-by-step explanation:

Given : A normal distribution has a mean 20 and standard deviation 5.

i.e. $\mu=20$

$\sigma=5$

Let x be the random selected variable.

We know that to find the z-score corresponds to the value x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 22, we have

$z=\dfrac{22-20}{5}=\dfrac{2}{5}\\\\\Rightarrow\ z=0.4$

Hence, the z score that corresponds to the value x=22 is 0.4

5 0

2 years ago

How can you tell that 7.630 and 7.63 are equivalent decimals?

nataly862011 [7]

Because an equivalent decimal names the same amount as another decimal. the 0 has no value

8 0

2 years ago

Read 2 more answers

Oliver picks a 4-digit even number that is greater than 3000.

Irina18 [472]

Answer:

Hello,

why not 700 ?

Step-by-step explanation:

$n=\overline{abcd}\\a\in \{3,4,5,6,7,8,9\}: 7\ possibilities\\b\in\{4,8\} :2\ possibilities\ :0 \ in\ USA\ is\ not\ a\ multiple\ of\ 4\\c \in\{0,1,2,3,4,5,6,7,8,9}: 10\ possibilities\\d \in \{0,2,4,6,8\}:5\ possibilities\\$

7*2*10*5=700

Impossible to reach 3000 since 2nd digit is 4 or 8.

8 0

2 years ago