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3 years ago

13

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x +

2?

2 answers:

Bezzdna [24]3 years ago

5 0

3x^2 − 6x + 2 - (<span>5x − 6)
= </span>3x^2 − 6x + 2 - 5x + 6
= 3x^2 - 11x + 8

hope it helps

solniwko [45]3 years ago

4 0

Answer: 3x^2-11x+8 will be a polynomial

Step-by-step explanation:

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Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

8 0

1 year ago

On the road trip, the speed limit changed to 50 miles per hour in a construction zone. Traffic moved along at a constant rate (5

navik [9.2K]

Answer:

d= 12.50 miles

Step-by-step explanation:

Kinematic equation of uniform motion (constant speed) :

v= d/t Formula (1)

v: velocity in miles per hour (mph)

d: distance in miles

t: time in hours

Data

v= 50 mph

t= 0.25 hours

Problem development

We replace data in formula (1)

50 mph=d/0.25 hour

$50 \frac{miles}{hour} = \frac{d}{0.25 hour}$

$d= 50\frac{miles}{hour} *0.25 hour$

d= 12.5 miles

d= 12.50 miles

5 0

3 years ago

Solve.<br><br> j – (–14) = –20<br> a. -34<br> b.34<br> c.6<br> d.-6<br> Which one?

laiz [17]

The correct answer is A) -34. Hope this helps.

4 0

2 years ago

Read 2 more answers

How do i isolate y in 4x - 2y = 22

Irina18 [472]

4x - 2y = 22

Start by adding 2y to both sides to cancel out the -2y

4x = 22 + 2y

Now you can divide by 4

x = 22/4 + 2y/4

Reduce all the fractions to get your answer, which is

$x = \frac{11}{2} + \frac{y}{2}$

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3 years ago

Distributive property 54 divided by 8

const2013 [10]

(50÷8)+(4÷8) this is h answer

4 0

3 years ago