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3 years ago

Is the sum of two polynomials of degree n always a polynomial of degree n? Why or why not?

1 answer:

4 0

Supposing the coefficients of the degree n terms are negatives of one another. Then the sum of the nth degree terms is zero, and the resulting polynomal is not of degree n.

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One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected

ZanzabumX [31]

Answer:

30% probability that it will be yellow, or green

Step-by-step explanation:

The urn has red, white, blue, yellow, and green balls.

Each ball is chosen with the following probabilities:

1/10 = 10% probability it is red

2/5 = 40% probability it is white

1/5 = 20% probability it is blue.

p probability it is yellow or green

What is the probability that it will be yellow, or green

The sum of all probabilities is 100%. So

10 + 40 + 20 + p = 100

p = 30

30% probability that it will be yellow, or green

5 0

3 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.

Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = $\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})$

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Diagonal 1 (AC) = $\sqrt{(4-0)^2+(-1+1)^2}$ = 4 units

Diagonal 2(BD) = $\sqrt{(2-2)^2+(3+5)^2}$ = 8 units

Now area of the rhombus ABCD = $\frac{1}{2}(\text{AC})(\text{BD})$

= $\frac{1}{2}\times 4\times 8$

= 16 units²

Therefore, area of the given rhombus is 16 units².

5 0

3 years ago

What are potential roots of p(x) = x4 + 22x2 – 16x – 12

kow [346]

Simplify 22\times 222×2 to 4444
{x}^{4}+44-16x-12x4+44−16x−12Collect like terms
{x}^{4}+(44-12)-16xx4+(44−12)−16x Simplify{x}^{4}+32-16xx4+32−16x

8 0

3 years ago

Read 2 more answers

Solve using synthetic division. (x2 + 3) ÷ (x − 1)

murzikaleks [220]

Answer:

2x+3 / x = 1

Step-by-step explanation:

3 0

3 years ago

Wendy needs to purchase 25 vases, which cost $3 each, and flowers for the vases, which cost $2 each. She has $275 to spend on he

Levart [38]

The answer is A.

The cost of 25 vases would be $75 (25*3). then x would be the number of flowers she can buy at $2 each before she goes over $275. So, $2x+$75 < $275

5 0

3 years ago