All categories

3 years ago

Factor each expression. 2p³+6p²+3p+9

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

(p+3) (<span> 2p squar 2 +9)\
have a great day!!!!:)</span>

Natasha2012 [34]3 years ago

6 0

$2p^3 + 6p^2 + 3p + 9 \\ \\ 2p^2 (p + 3) + 3(p + 3) \\ \\ (p + 3)(2p^2 + 3) \\ \\$

The answer is: (p + 3)(2p² + 3).

You might be interested in

he width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the

Ivanshal [37]

The original area of the rectangle is $35ft^{2}$

<u>Explanation:</u>

width = x

length = x + 2

area of the rectangle = x (x+2)

length = x + 2 + 5 = x+7

$60 = (x+7) (x)\\60=x^{2} + 7x\\x^{2} + 7x - 60 =0\\$

Solving this equation, we get

x =5ft

So, original width = 5ft

original length = 5+2ft = 7ft

Thus, original area of the rectangle = 5 X 7ft = $35ft^{2}$

Therefore, the original area of the rectangle is $35ft^{2}$

3 0

3 years ago

Monica's college runs on a trimester schedule, so she receives a bill 3 times a year for tuition. Each trimeste

BigorU [14]

Answer:

total cost for Samantha to get her degree = $5,128.2

Step-by-step explanation:

Number of trimesters per year = 3

Number of years = 4

∴ Total number of trimesters throughout college = 3 × 4 = 12 trimesters

Tuition per trimester = $2.350

Total tuition (12 trimesters) = 2.350 × 12 = $28.2

cost of books per trimester = $425

cost of books throughout college (12 trimesters) = 425 × 12 = $5,100

total cost for Samantha to get her degree = total cost of tuition + total cost of books

total cost for Samantha to get her degree = 28.2 + 5,100

total cost for Samantha to get her degree = $5,128.2

7 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if

Tatiana [17]

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

4 0

3 years ago

Three tenths times twelve

Sholpan [36]

Answer:

3.6

Step-by-step explanation:

0.3x12=3.6

Because you know that 12x3=36, so 12x0.3=3.6!

Good luck!

7 0

3 years ago

G 3.6 Dice rolls. If you roll a pair of fair dice, what is the probability of (a) getting a sum of 1

Paladinen [302]

Answer:

Step-by-step explanation:

In the roll of a pair of fair dice, The sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

If x,y represent the possible outcome of rolling the two die

Then the total number of possibilities for the sample space = (x,y)

= (6 × 6) = 36

Now, the probability of getting a sum of 1 does not exist in the roll of a pair of fair dice.

Therefore, Probability(1) = 0

8 0

3 years ago