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Alexeev081 [22]
3 years ago
15

Which one of the following is not closed under the operation being performed

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0
Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.

A. (14x-2)3(x-2)=14 x^{2} -90x+10. The result is still a polynomial; therefore, answer A is incorrect.

B. \frac{(14x-2)}{3(x-2)} =  \frac{14}{3} with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.

C. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer C is incorrect.

D. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer D is incorrect.
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If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?
Karo-lina-s [1.5K]

Answer: Option D

y +2x = 3

Step-by-step explanation:

The equation of a line in the form of "slope-interception" has the following form:

y = mx + b

Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then m = -2.

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

b = 3.

Finally the equation of the line will be:

y = -2x + 3

If we add 2x on both sides of the equation we get:

y +2x = 3

The answer is the option D

5 0
3 years ago
Evaluate 2/3+3/4 <br> 1and5/12
chubhunter [2.5K]

2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12

2/3 + 3/4 = 1 + 5/12

6 0
3 years ago
I NEED HELP ASAP I WILL MARK YOU THE BRAINLIEST
Nataliya [291]
Alternate Interior Angles. You’re welcome
7 0
2 years ago
What is the answer please help
hram777 [196]

Answer:

B: 22.5 degrees

Step-by-step explanation:

The interior angles of a pentagon add up to 540 degrees

(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)

So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60

Unless I read the problem wrong, 60 degrees is the answer which is not an option :P

Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees.

The total would be 24x = 540, and so x = 22.5

4 0
3 years ago
How big of box is needed to pack 64 boxes that are 1ft x 1ft x 1ft
AVprozaik [17]

Answer:

  something with a volume of 64 ft³, such as a box 4 ft × 4 ft × 4 ft

Step-by-step explanation:

The volume of the smaller box is (1 ft)³ = 1 ft³. So 64 of them require a box with a volume of 64 ft³.

The most compact of such boxes is one that is cube-shaped itself. Such a box would have dimensions of ...

  ∛(64 ft³) = 4 ft

A box that is 4 ft × 4 ft × 4 ft would hold the 64 smaller boxes.

7 0
3 years ago
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