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Sedaia [141]
3 years ago
14

HELP PLEASE must show work I have the answer just need to show work​

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Answer:

Step-by-step explanation:

To solve these equations involving variables and exponents we need to follow these steps.

1) We need to find out the factor that is common in the equation.

2) After taking common, solve the equation. We can add or subtract only those values that have same bases.

1) 8+6x^4

here we can see, both numbers are divisible by 2, so taking 2 common

=2(8/2 + 6x^4/2)\\= 2(4 + 3x^4)

It cannot be further simplified because both number donot have same bases.

3.4n^9 + 12 n

We can take 4n common

=4n(4n^9/4n + 12 n/4n)\\=4n(n^8 + 3)

5. -12a -3

Here -3 cam be taken common

= -3(-12a/-3 -3/-3)

= -3(4a +1)

7. 12n^5 + 16n^3

here the smallest power of n is n^3 so, we can take n^3 common and both coefficients are divisible by 4 so taking 4n^3 common

4n^3( 3n^2 + 4)

9. 5k^2 - 40k+10

Here we cannot take k common, as k is not a multiple of 10. For taking common it should be divisible by each value in the equation. But each value s divisible by 5 so, taking 5 common

=5(k^2 - 8k + 2)

11.-60 + 60n^2 +50n^3

Here we cannot take n common, as n is not a multiple of -60. For taking common it should be divisible by each value in the equation. But each value s divisible by 10 so, taking 10 common

=10(-6 + 6n^2 +5n^3)

13. -36n^3 -12n-28

Here we cannot take n common, as n is not a multiple of 28. For taking common it should be divisible by each value in the equation. But each value s divisible by -4 so, taking -4 common

=-4(9n^3 + 3n +7)

15. 63n^3+81n+18

Here we cannot take n common, as n is not a multiple of 18. For taking common it should be divisible by each value in the equation. But each value s divisible by 9 so, taking 9 common

=9(7n^3 + 9n + 2)

17. -24a^2b^2 + 36ab-60a

=6a(-4ab^2+6b-10)

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5 0
3 years ago
A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
dybincka [34]

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

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A man earns $ 1200 and spends $ 450 per month. Find the ratio of his saving to his income.
nasty-shy [4]

income =$1200

expenditure=$450

saving=$1200-$450

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=8:3

ratio of savings to income is 750:1200

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Marat540 [252]

Answer:

Y = 4/3x + 0

Step-by-step explanation:

(-3,-4) and (3,4) can be plugged in to rise over run.

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Plug into slope intercept form

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Subtract from both sides

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3 years ago
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