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son4ous [18]
3 years ago
6

Use the quadratic formula to solve the equation. 2x^2-6x+1=0 Enter your answers, in simplified radical form, in the boxes.

Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

(3 (pm) sqrt(7))/2

Step-by-step explanation:

First step: Identify a,b, and c

a=2

b=-6

c=1

Second step: Find b^2-4ac (this is called the discriminant-I will call this D)

(-6)^2-4(2)(1)=36-8=28

Third step: Find the square root of the discriminant aka sqrt(D)

sqrt(28)

Let's see if we can simplify sqrt(28)

Here is there a factor of 28 that is a perfect square? How about 4? Yep!

sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).

Fourth Step: What is -b? If b=-6 then -b=6.

Fifth step: What is 2a?  2(2)=4

So the formula is

x=(-b (pm) sqrt(D))/(2a)

or

x=(step4 (pm) step 3)/(step 5)

x=(6 (pm) 2sqrt(7))/4

Simplify

x=(3 (pm) sqrt(7))/2

*pm means plus or minus

*sqrt( ) means square root of the number that follows in the ( )

ruslelena [56]3 years ago
5 0

Answer:

Just took it!

Step-by-step explanation:

You might be interested in
The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.
Hoochie [10]

Answer:

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = 7

The Toy company sells Shaq Size hoops = 3

Step-by-step explanation:

Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

To find - What is the maximum profit they can make given the constraints  above?

Proof -

Let us assume that,

The Toy company sells Jordan Size hoops = x

The Toy company sells Shaq Size hoops = y

Now,

Given that,  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.

⇒x + y ≤ 10

Now,

Given that,  The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes.

⇒ x ≥ 2

   y ≥ 3

Now,

Given that,

The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

So,

The objective function becomes

Z = 1350x + 1200 y

So,

The Linear Programming Problem (LPP) becomes

Maximize Z = 1350x + 1200 y

Subject to

x + y ≤ 10

x ≥ 2

y ≥ 3

x, y ≥ 0

We will Solve the LPP by Graphical method.

The graph is as follows :

The points on the Boundary are -

A(2, 8)

B(2, 3)

C(7, 3)

So,

Points (x,y) Objective function value  ( Z = 1350x + 1200y)

B(2,3)            1350(2) + 1200(3) = 6300

C(7,3)           1350(7) + 1200(3) = 13050

A(2,8)                 1350(2) + 1200(8) = 12300

So,

Maximum value = 13050 at point C(7,3)

∴ we get

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = x = 7

The Toy company sells Shaq Size hoops = y = 3

6 0
2 years ago
20 equals more than a number y
riadik2000 [5.3K]

Answer:

20 > y

Step-by-step explanation:

20 is greater than y.

5 0
3 years ago
How to now your timetables by your hands
Ivenika [448]
1
Hold your hands out in front of you with your palms facing up. Each of your ten fingers represent a number. Moving from your left thumb to your right thumb, count out the numbers from one to ten. 2 Point the finger you want to multiply by nine down towards your body. For example, if you want to solve (9x3) you will want to hold down your middle finger on your left hand. The middle finger represents the number three because, if you count your fingers from one to ten beginning with your left thumb, your middle finger is the third finger. 3 Solve the problem by counting fingers to the left and right. First count the fingers to the left of your bent finger - in this case there should be two. Next count the fingers to the right of your bent finger - in this case there should be seven. The first digit of the answer is 2 and the second digit is 7. The answer is 27![1]
7 0
3 years ago
Read 2 more answers
Pick the correct letter for 6&gt;x<br><br> A<br> B<br> C<br> D
nevsk [136]
Your correct answer is D
5 0
2 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Aliun [14]

Answer:

c ln (x^3/y^3)

Step-by-step explanation:

3 ln x - 3 lny

We know that a ln b = ln b^a

ln x^3 - ln y^3

We also know ln a - ln b = ln (a/b)

ln (x^3/y^3)

6 0
3 years ago
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