which expression represents the product of x3+2x-1 and x4-x3+3?​

Answer:

C.

Step-by-step explanation:

To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.

Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.

[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]

[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}

There are no like terms to collect, but we can arrange the product in descending order of the power of q.

[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]

Answer: C.

Answer:

2.12%

Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add

Answer:

1.56%

Step-by-step explanation:

there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%

13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%

Answer:its 1

Step-by-step explanation:

Answer:

173 - 124 = then do thatb divided by each seat 2

Step-by-step explanation:

Answer:

the inverse operation for addition is subtraction

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

Answer:

800 cubic inches

Step-by-step explanation:

We will use the formula= V=lwh or Volume= length times width times height

so, Volume=5inches times 8 inches times 20 inches

so, volume= 5 times 8 times 20

=40 times 20

=800 cubic inches

Answer:

800

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

ABC

Acb

Bac

Bca

Cab

Cba

This looks like 6 but if you look close, 3 are duplicates

Answer:

455

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C. [tex] Cos(28) = \frac{15}{17} [/tex]

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

[tex] Cos(28) = \frac{15}{17} [/tex]

Answer:

1543/100 is the answer

Answer:   777654

Step-by-step explanation:

lol

Answer: 15 10

Step-by-step explanation:                        

Answer:

Volume = l*w*h

Equation: 1620 = 9*9*h

1620=81h

h=20 cm

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Visited Busch Gardens.

Event B: Visited Sea World.

The probability of visiting Busch Gardens is 40%

This means that [tex]P(A) = 0.4[/tex]

The probability of visiting Sea World given that they visited Busch Gardens is 60%

60% of 40%, which means that:

[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]

The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.

This means that [tex]P(A \cup B) = 0.7[/tex]

Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

This is P(B).

These probabilities are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values

[tex]0.7 = 0.4 + P(B) - 0.24[/tex]

[tex]0.16 + P(B) = 0.7[/tex]

[tex]P(B) = 0.54[/tex]

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Answer:

4 divided by 10 is 40% 3 divided by 10 is 30 percent

Step-by-step explanation:

for red there would be 40 percent probability and green and blue both have 30% probability.

Answer:

D. f(x) = 2^x

Step-by-step explanation:

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

The base is always 2. The exponent changes and is x.

Answer: D. f(x) = 2^x

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

Answer:

d) A[n] = A[n=1] - 2 (Your selected answer is correct)

Step-by-step explanation:

Think of the formula as:

new number = previous number minus 2

Answer:

10%

Step-by-step explanation:

you would do 50/5 because all the sections are even so you would get 10%.

Answer:

(9³×m)3

Step-by-step explanation:

Hope it helps you

Answer: The answer is -2 it's just going to stay as -2 because y has no value.

Answer: this is the graph i wish that could help :)

Answer:

The two numbers are 6 and 10.

Step-by-step explanation:

First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :

x - y = 4

3x + y = 36

Next, you have to solve the simultaneous equations :

x - y = 4 ---------- (1)

3x + y = 36 ------- (2)

(2) + (1)

3x + y + x - y = 36 + 4

4x = 40

x = 10

Substitute x = 10 into (2)

3(10) + y = 36

30 + y = 36

y = 36 - 30

y = 6

Answer: D

Step-by-step explanation: