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Darya [45]
3 years ago
9

Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

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JK = JH + HK

JK = 82

JH = 22

So, HK = 82 - 22 = 60, or choice (C).

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Allushta [10]
Intersection (repeated element in the set)

A={-9,0,5}
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C={-9,2,5}

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What are the factors of 2x^2 + 5x -12?
Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -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  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5

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

                    2x2 - 3x + 8x - 12

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

                   x • (2x-3)

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

                   4 • (2x-3)

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

                   (x+4)  •  (2x-3)

            Which is the desired factorization

3 0
3 years ago
Yu Xing paid 3.60 dollar for 2 pens after a 10 percent discount .What was the usual price of 1 pen.
notka56 [123]

Answer:

2 $

Step-by-step explanation:

let the original price be x

price after 10% discount = 3.60$

x -  \frac{10}{100} \times x = 3.60

\frac{100x - 10x}{100}  = 3.60 \\  \frac{90x}{100}  = 3.60 \\ 9x = 36 \\ x = 4

The original price of 2 pens is 4$

original price of one pen = 4/ 2

<u>= 2 $</u>

8 0
2 years ago
Simplify the following expression:<br> (x^3 y^4 z^2) (y^4 z^6 x^4)
podryga [215]

Answer:

x^7y^8z^7 may be it is answer cause i think yhiai is basic of indices. U just have to add with it's common variable's powrt.

8 0
3 years ago
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