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Alex17521 [72]
3 years ago
12

This is a sample question for brainliest! Brainliest will be given to the user who accurately answers the question with the most

detail in a step-by-step explanation. NO guesswork, plagiarism, or links!!!
Simplify the following algebraic expression:


(6 x^{4} ) (4 y^{2} ) / [ (3x^{2} ) (16y)]
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Well, we're just simplifying the fraction.

(2x^2)(y/4).

(2yx^2)/4.

When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.

Edit:

2/4 is 1/2.

(yx^2)/2.

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
you have $18 to buy peppers. peppers cost $1.50 each. write and solve an inequality that represents the number of peppers you ca
Nezavi [6.7K]

At most 12 peppers can be bought with $18

Step-by-step explanation:

Given

Total amount for peppers = $18

Cost per pepper = $1.50

Let p be the number of peppers that can be bought from $18 at $1.50 per pepper

So,

1.50p\leq 18

Dividing both sides by 1.50

\frac{1.50p}{1.50}\leq \frac{18}{1.50}\\p\leq 12

Hence,

At most 12 peppers can be bought with $18

Keywords: Inequality, solution

Learn more about inequalities at:

  • brainly.com/question/11286417
  • brainly.com/question/12884373

#LearnwithBrainly

5 0
3 years ago
How to find the missing lengths of a partelogram
Levart [38]

Answer:

Below.

Step-by-step explanation:

The area = the height (h) times the base.

So Q2:

21 = h * 7

h = 21/7 = 3

55 = b * 5

b = 11.

18.75 = h * 7.5

h = 18.75 / 7.5

= 2.5.

6 0
2 years ago
Find the number of real number solutions for the equation. x^2+5x+7=0
koban [17]

Given a quadratic equation ax^2+bx+c=0, we define the discriminant as

\Delta = b^2-4ac

The number of real solutions of the equation depend on the sign of \Delta:

  • If \Delta>0 the equation has two solutions
  • If \Delta=0 the equation has one double solution
  • If \Delta the equation has no real solutions

In this case, we have

\Delta = 25-28=-3

And so this equation has no real solutions.

7 0
3 years ago
Is 1 T equal to 3,400 lb
atroni [7]
No 1 Ton is = to 2000 LBS
6 0
3 years ago
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