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inna [77]
3 years ago
7

Factorise fully p^3 + p^2

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

Step-by-step explanation:

p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)

Used:

a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

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A positive integer is 4 more than 12 times another. Their product is 5896. Find the two integers.
maksim [4K]
X = integer one
y = integer 2

x = 12y + 4

x * y = 5896

Solve the system of equations
8 0
3 years ago
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Consecutive angles in a parallelogram are?
luda_lava [24]

Hello There!

Consecutive Angles In Parallelograms Are "Supplementary"

"Supplementary Angles" Are Angles That Have A Sum of 180 Degrees  

6 0
3 years ago
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A model satellite has a scale of 1 in: 6 ft.
insens350 [35]

Answer:

B) 18 ft

Step-by-step explanation:

The scale is 1 in. model : 6 ft real.

6/1 = 6

To go from model size to real size, multiply the model size by 6 and change from inches to feet.

3 in. model = 3 × 6 ft = 18 ft

5 0
1 year ago
HELPPP PLZZZ IM CRYINGGGG HELPPPPPPPP
Goryan [66]

1) Experimental probability of drawing a Club = 9 / 40

The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.

2) Relative frequency of drawing a Spade = 1 / 5

Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.

3) Theoretical probability of drawing a Heart = 1 / 4

The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.

4) Theoretical probability of drawing a Club or Diamond = 1 / 2

The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.

5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.

Hope this helps!! :)

5 0
3 years ago
How do I solve this and what is the answer?
DanielleElmas [232]

Answer:

You use PEMDAS.

Step-by-step explanation:

If you dont know what that is, its the process used for long multistep equations like that :  Parenthesis, Exponents, Multiplication, Division, Addition, then Subtraction. You solve all of those in order (if they are included in the problem). So for this you would solve one side of the inequality sign first using this order, then the other side and BAM! you've solved this problem.

8 0
3 years ago
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