All categories

3 years ago

Derick solves the problem below.

Mathematics

1 answer:

Gala2k [10]3 years ago

3 0

As it is proved that the equation has no solution, Derick is correct

Step-by-step explanation:

Given

$-3(4n + 2) = -4n + -2 (4n - 6)$

We have to solve the equation in order to check if Derick was solved the equation correctly or not.

So,

Applying distributive property first

$-12n -6 = -4n -8n +12\\-12n-6 = -12n+12\\-12n+12n-6 = 12\\-6 = 12$

As the variable is already cancelled in the equation there is no unique solution.

In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation

So,

As it is proved that the equation has no solution, Derick is correct

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

Write an equation of a line that is parallel to y=2x-5 that passes through the point (2,6).

inessss [21]

Answer: Parallel lines have the same slope

y = 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Step-by-step explanation:

3 0

2 years ago

What is the value of 5^3i^9?

Yakvenalex [24]

Answer:

$\displaystyle 125^i$

Step-by-step explanation:

Extended Information on the Complex Number System

$\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]$

I am joyous to assist you at any time.

All work is shown above. ↑

4 0

3 years ago

Johnny needs to save $24.00 to buy a new video game. Three weeks after saving, he has $6.00. After 6 weeks, he has $12.00. If Jo

Mrrafil [7]

He will need to save up for 12 weeks because he is getting 2 dollars a week.
It says after 3 weeks he saved 6, so divide six by three and the answer meaning he makes 2 a week. Next divide 24 by 2 and you get 12.

4 0

3 years ago

Read 2 more answers

Calculate (228, 432, 320) in two ways: using Euclidean algorithm, and by factorization.

frez [133]

Answer:

Step-by-step explanation:

gcf(432,320,228)=gcf(gcf(432,320),228)

432=320(1)+112

320=112(2)+96

112=96(1)+16

96=16(6)

So the gcf(432,320)=16.

So now we need to find gcf(16,228)

228=16(14)+4

16=4(4)

Therefore,

gcf(432,320, 228)

=gcf(gcf(432,320),228)

=gcf(16, 228)=4

===================================

432=4(108)=4(2)(54)

=4(2)(6)(9)=2(2)(2)(2)(3)(3)(3)

320=4(80)=4(2)(40)=2(2)(2)(4)(10)

=2(2)(2)(2)(2)(2)(5)

228=4(57)=2(3)(38)=2(2)(3)(19)

All three of them have 2*2 in commom, so the greatest common factor is 4.

8 0

3 years ago

In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o

Dafna11 [192]

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = $\frac{50\times10^{-6}}{10\times10^{-9}}$

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

4 0

3 years ago