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3 years ago

How do I simplify 2(y+6)+3y??

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

8 0

$\huge\boxed{5y+12}$

Start by distributing the $2$ to the $(y-6)$ . $2(y)+2(6)+3y$

Simplify a little bit using multiplication. $2y+12+3y$

Combine the like terms. $\boxed{5y+12}$

Musya8 [376]3 years ago

7 0

2(y+6)+3y

Multiply the bracket by 2

(2)(y)=2y

(2)(6)=12

2y+12+3y

2y+3y+12 ( combine like terms)

Answer: 5y+12

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I need to know if this is true or false

vlabodo [156]

The answer is "yes"

The expression 4x is the same as 4x^1. It is in the form ax^n where a = 4 is the coefficient and n = 1 is the exponent.

A polynomial can have exactly one term, which is what the case is here.

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3 years ago

0.00035 cm = ___________ nm

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3 years ago

Solve for equation √-5p=√24-p

blsea [12.9K]

Answer:

Step-by-step explanation:

25,219,829 solved | 850 online

p2-5p-24=0

Two solutions were found :

p = 8

p = -3

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2".

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring p2-5p-24

The first term is, p2 its coefficient is 1 .

The middle term is, -5p its coefficient is -5 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-8)

Add up the last 2 terms, pulling out common factors :

3 • (p-8)

Step-5 : Add up the four terms of step 4 :

(p+3) • (p-8)

Which is the desired factorization

Equation at the end of step 1 :

(p + 3) • (p - 8) = 0

Step 2 :

Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : p+3 = 0

Subtract 3 from both sides of the equation :

p = -3

Solving a Single Variable Equation :

2.3 Solve : p-8 = 0

Add 8 to both sides of the equation :

p = 8

8 0

4 years ago

Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul

Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

4 0

3 years ago