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3 years ago

(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

Answer:

A- 8x^3 + 12x^2 - x

Step-by-step explanation:

The symbol ^ with a 2 is squared and ^ with 3 means cubed.

1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).

2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.

3. Now the equation should be simplified.

1 × 5x^2 = 5x^2

1 × 6x^3 = 6x^3

1 × 2x = 2x

-1 × 3x = -3x

-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.

-1 × -7x^2 = 7x^2

4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2

5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.

6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.

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If m(x)=x 5/x-1 and n(x) = x – 3, which function has the same domain as (m*n)(x)

Tatiana [17]

Answer:
m(x) has the same domain as (m*n)(x)

Explanation:
1- For m(x):
m(x) is a fraction. This means that the denominator cannot be zero, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the domain of m(x) can be any real number except 1

2- For n(x):
The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the domain of n(x) is all real numbers

3- For (m*n)(x):
(m*n)(x) = m(x) * n(x) = $\frac{x-5}{x-1} *(x-3) = \frac{(x-5)(x-3)}{(x-1)}$

We can note that the product is also a fraction. This means that the denominator cannot be zero.
The denominator here will be zero at x = 1.
This means that the domain of (m*n)(x) is all real numbers except 1.
This is the same as the domain of m(x)

Hope this helps :)

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3 years ago

200 + 200m - 100 - 100m + 100

slava [35]

Answer:

200+100m

Step-by-step explanation:

Simplified by collecting like terms

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2 years ago

If an angle of 11pi/30 radian is in standard position. What is the reference angle in radian?

bixtya [17]

Answer:

$\frac{11\pi}{30}$

Step-by-step explanation:

The reference angle is an acute angle that angle in standard position makes with the positive x-axis.

The given angle in radians is

$\frac{11\pi}{30}$

This angle is already acute and hence it is itself a reference angle.

The reference angle of any angle in the first quadrant is the same angle.

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How would 2.25 be represented as a percent? A. 225% B. 22.5% C. 2.25% D. 0.0225

ivolga24 [154]

Answer:

Step-by-step explanation:

move decimal two places to get percent

2.25 = 225%

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Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,

Darina [25.2K]

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x + y = 13

x = 13 - y
1.37* (13-y) + 1.08y = 16.36
17.81 - 1.37y + 1.08y = 16.36
1.08y - 1.37y = 16.36 - 17.81
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3 years ago