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Llana [10]
3 years ago
5

How do you prove (3x+2)2 is equivalent to (3x+6)(3x-2)+16

Mathematics
1 answer:
Harman [31]3 years ago
7 0
(3x+2)^2=9x^2+12x+4\\\\
 (3x+6)(3x-2)+16=\\
9x^2-6x+18x-12+16=\\
9x^2+12x+4

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Suppose a jar contains 10 red marbles and 34 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same
denpristay [2]

Answer:

The probability that both are red is P(red\:and \:red)=\frac{45}{946}\approx0.04756\approx4.756\%.

Step-by-step explanation:

Probability is simply how likely something is to happen and its given by

<em>Probability of an event = (# of ways it can happen) / (total number of outcomes)</em>

Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

                                     P(A\:and\: B)=P(A)\cdot P(A|B)

At our first pull, there is an P(red)=\frac{10}{10+34} chance that a red will be pulled.

At the second pull there is a P(red)=\frac{9}{9+34} chance that the second marble will be red.

Therefore, the probability that both are red is

P(red\:and \:red)=\frac{10}{10+34}\cdot \frac{9}{9+34}=\frac{45}{946}\approx0.04756\approx4.756\%

6 0
3 years ago
Wish someone can do this for me.
Makovka662 [10]

Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .

To Find : To write those two inequality as a compound inequality with integers .

Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;

⇒ v + 8 ≤ -4 .

⇒ v ≤ -4 - 8.

⇒ v ≤ -12 .

Now , on simplifying the second inequality ,

⇒ v - 6 ≥ 10 .

⇒ v ≥ 10 + 6.

⇒ v ≥ 16 .

Hence the required answer will be :

\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}

First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .

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Lakisha just won some money in a sweepstakes drawing. She is considering putting her winnings in a long term investment. To the
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Amount after n years = original amount x interest^(number of years)
30,000 = A x (1.05)²⁰
A = $11,307
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