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MrRa [10]
4 years ago
8

Rewrite the equation by completing the square. x^2−4x+3=0

Mathematics
1 answer:
harina [27]4 years ago
3 0

Answer:

x=1 or x=3

Step-by-step explanation:

Hello, please consider the following.

x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3

Thank you

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A submarine is at 756 feet below sea level how many feet will it need to rise to be at the surface?
makkiz [27]
If a submarine is 756 feet below sea level in order to come to 0 sea level it will have to rise as much as it dropped which is 756 feet.
6 0
3 years ago
-9/14+2/7 w explanation!!
mars1129 [50]

Answer:

-5/14

Step-by-step explanation:

When adding fractions, you need to have a common denominator, the bottom part of a fraction. Because one denominator is 14 and the other is 7, you must create a new denominator.

To create a new denominator, you can either reduce a fraction or multiply it by something, which is easier.

For this problem, we can convert 2/7's denominator into 14 instead of 7 by multiplying the fraction by 2/2:

<u>2</u>  x <u>2</u>  =  <u>4</u>

7     2   = 14

2/7 has now converted into 4/14. Now, we can easily add.

-9/14+4/14  This can be rewritten as something more understandable.

4/14-9/14    We are now subtracting.

-5/14            This cannot reduce, so it is our answer.

I hope this helps!! Have an amazing day and let me know if you want more explanation ;)

3 0
3 years ago
How do you solve this whole thing please?
NemiM [27]

Answer:

Step-by-step explanation:

Let's look at the first two, and hopefully you'll be able to figure the rest out:

1. Answer below

d = rt

The problem asks us to solve for r, so that means we need to get r on one side of the equation by itself. To do so, we will need to divide both sides of the equation by t:

\frac{d}{t} = \frac{rt}{t}

\frac{d}{t} = r

2. Answer below

B = T - Lc

The problem asks us to solve for T, so that means we need to get T on one side of the equation by itself. To do so, we will need to add Lc to both sides of equation:

B + Lc = T - Lc + Lc

B + Lc = T

7 0
4 years ago
At a certain university, 42% of the students are women, and 18% are engineering majors. Of the engineers, 22% are women. If a st
Vsevolod [243]

Answer: 0.5604

Step-by-step explanation:

Let A represents the students who are women and B represents the students who are engineering majors.

Then , we have given that P(A)=0.42\ ;\ P(B)=0.18\ ;\ P(A|B)=0.22

By formula , P(A\cap B)=P(A|B)\times P(B)=0.22\times0.18=0.0396

Using formula, \text{P(A or B)=P(A)+P(B) - P(A and B)}, we have

\text{P(A or B)}=0.42+0.18-0.0396=0.5604

Hence, the probability that the selected person is either a woman or an engineering major = 0.5604

8 0
3 years ago
Read 2 more answers
What is 5/2y +17= -2/3y -21
miss Akunina [59]
19/6y+17=-21
19/6y=-38
y=-12
4 0
4 years ago
Read 2 more answers
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