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ruslelena [56]
3 years ago
13

When 16x^3 - 12x^2 + 4x is divided by 4x the quotient is

Mathematics
1 answer:
klio [65]3 years ago
6 0
16x^3-12x^2+4x=4x(16x^2-3x+1)\\\\therefore\\\\(16x^3-12x^2+4x):4x=4x(4x^2-3x+1):4x=\boxed{4x^2-3x+1}
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Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., y=\dfrac{1}{4}x, is of the y=kx, where, k=\dfrac{1}{4}.

So, the equation y=\dfrac{1}{4}x represents a proportional relationship.

Therefore, the correct option is B.

6 0
3 years ago
One third of a number reduced by 11 is equal to 4 more than the number
Alecsey [184]
1/3x -11 = 4+x is what we start with, then add 11 to both sides, then subtract x from both sides. Then when we divide both sides by -2/3, x will equal -22.5.
6 0
3 years ago
Does 5.2 belong with irrational or rational numbers?
Dominik [7]

Answer:

The correct answer is "rational" . It is not an "integer" because it is a "decimal value". It is not "irrational" because the decimal value terminates and does not repeat.

7 0
3 years ago
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before ad
vovikov84 [41]

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

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3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

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-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

6 0
3 years ago
Read 2 more answers
Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length
Korvikt [17]

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

7 0
3 years ago
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