All categories

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.

You might be interested in

James says,

Dima020 [189]

-3^3 = -27

Step-by-step explanation:

Thats because -3^3 is (-3×3×3) not (-3×-3×-3) which we are multiplying a the constant not the the powers

6 0

2 years ago

Read 2 more answers

What is the hight of a Building 1 Angle 71o Distance 20 meters

vlabodo [156]

The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

tan71 = x/20

x = 58.08 meter

Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

6 0

1 year ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

On page 3, what do the words "breathed in deep" suggest? help me pls asap!

Anettt [7]

Answer: "It’s the kind of breath you will see a small baby take. A natural, inaudible inhalation that makes the belly rise and fall gently as you inhale and exhale. The diaphragm is the main breathing muscle"

Step-by-step explanation:

8 0

1 year ago

If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.

Allushta [10]

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

<h3>What are the exponential functions?</h3>

The given exponential functions, f(x) and g(x), are respectively given by: