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otez555 [7]
2 years ago
10

Subtract these polynomials.

Mathematics
2 answers:
Mandarinka [93]2 years ago
8 0
<span>2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x²   +6x  +6
Answer D</span>
AveGali [126]2 years ago
4 0

Answer:  The correct option is

(D) -2x^2+6x+6.

Step-by-step explanation:  We are given to subtract the following polynomials :

P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.

From (i), we get

P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.

Thus, the required resulting polynomial is -2x^2+6x+6.

Option (D) is CORRECT.

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Which equation can be solved by using this system of equations?
andrew11 [14]

the equation that we can solve using the given system of equations is:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

<h3>Which equation can be solved using the given system of equations?</h3>

Here we have the system of equations:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

Notice that both x and y should represent the same thing in both equations, then we could write:

3x^5 - 5x^3 + 2x^2 - 10x + 4 = y = 4x^4 + 6x^3 - 11

If we remove the middle part, we get:

3x^5 - 5x^3 + 2x^2 - 10x + 4  = 4x^4 + 6x^3 - 11

Now, this is an equation that only depends on x.

We can simplify it to get:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

That is the equation that we can solve using the given system of equations.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

4 0
1 year ago
A motor vehicle has a maximum efficiency of 39 mpg at a cruising speed of 40 mph. The efficiency drops at a rate of 0.1 mpg/mph
svp [43]

Answer:

38 mpg

Step-by-step explanation:

Initial efficiency = 39 mpg

Initial speed = 40 mph

Final speed = 50 mph

The efficiency drop  between 40 mph and 50 mph is given by:

E_d = 0.1 \frac{mpg}{mph}*\Delta V

The total efficiency drop from 40 to 50 mph is:

E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg

Therefore, the efficiency at 50 mph is:

E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg

5 0
3 years ago
Which answer describes the graph of the system of equations?
Vladimir [108]

Answer: The point of intersection is (0,4).

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
-
Alex
Slope(m) = -2 hope this helps
8 0
2 years ago
Slope, m= -3/8. y-intercept, b= 1/4. Write an equation in slope-intercept form.
Ilia_Sergeevich [38]
Slope Intercept form: y=-3/8m+1/4.
7 0
3 years ago
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