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butalik [34]
3 years ago
13

What is the first step in simplifying the expression 11x-2-3(1-7x)^2+(x+1)?

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

PEMDAS is a great way to figure this out!

P - Parenthesies

E - Exponents

M - Multiplcation

D - Division

A - Addition

S - Subtraction

Follow this order and you should be good to go! Here's how I would follow this in this equation.

11x-2-3(1-7x)^2+(x+1)

First, parentheses

The 3 directly next to the parenthesies shows that everything inside of the () needs to be multiplied by 3.

-3*1  and -3*-7x (don't forget the negative)

This gives us 11x-2+(-3+21x)^2+(x+1)

Now distribute the exponents to everything inside of the parentheses.

11x-2+-3^2+21x^2+(x+1)

now solve the numbers with exponents without a variable.

3^2 = 3*3 = 9

combine any numbers without a variable outside of parentheses

11x-2+9+21x^2+(x+1)

11x+7+21x^2+(x+1)

From here, what I would do is divide the whole equation by 2

5.5x+3.5+21x+(.5x+.5)

now combine x values outside of parentheses

3.5+26.5x+(.5x+.5)

I believe this would be the simplest form, but please do correct me if I'm wrong or made any errors

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erastova [34]
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6 0
3 years ago
For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0
3 years ago
Simplify the expression using the order of operations. 3 (8-4)2 + 7.9
OlgaM077 [116]

Answer:31.9

Step-by-step explanation:

8 0
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It depends on how much you earn in an hour .. so for example if your earn 100$ in 1 hour so you need to work for 50 hours in total because 5000 divided the amount of money you make in a single hour which is 100 in this example will be 50 hours in total .. to get the amount of hours you need to work a week you should know that the month has 4 weeks .. so 50 divided 4 equals 12.5 hours
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