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3 years ago

Which of the following equations demonstrate that the set of polynomials is not closed under the certain operations?

Mathematics

1 answer:

Vesnalui [34]3 years ago

8 0

Answer:

D. Division: (x² - 5x + 3) ÷ (x-5) = x + 3/(x - 5)

Step-by-step explanation:

Polynomials are closed under subtraction and multiplication because any subtraction or multiplication of polynomials gives as result another polynomial.

As can be seen in option D, polynomials aren't closed under division because not every division between polynomials gives as result another polynomial.

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URGENT!!! PLEASE LOOK AT THE PICTURE!!! PLEASE HELP!!!!

Svetllana [295]

Answer:

Step-by-step explanation:

this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.

HI = HJ because this is an isosceles triangle.

Use the cos function to find the length of HJ:

cos Ф = adj / hyp or adj = (hyp)(cos Ф).

Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----

√2, or 4√5 / √2

4√10

This last result simplifies to ----------

or 2√10 (answer)

The length of side HJ and that of HI is 2/√10.

7 0

3 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

3 years ago

1. A rectangle is 3/4 as wide as it is long. How

s344n2d4d5 [400]

Answer:

B. 6 inches

Step-by-step explanation:

To find how wide it is, multiply the length by 3/4

8(3/4)

= 6

The width of the rectangle in 6 inches.

So, the correct answer is B. 6 inches

5 0

3 years ago

What is the coefficient in the expression 40a-61=17

zepelin [54]

Answer:

a = 1.95

Step-by-step explanation:

40a - 61 = 17

40a - 61 + 61 = 17 + 61

40a = 78

40a / 40 = 78 / 40

a = 1.95

5 0

3 years ago

You withdraw $29.79 from your bank account. Now your balance

Vika [28.1K]

Answer:

<h2>you had $9.28 prior to making the withdrawal</h2>

Step-by-step explanation:

3 0

2 years ago