## Archive for December, 2014

## Problem 452

**Simplify the expression. Write answer with positive exponents.**

** **

**Solution**

We can write it as

When base are same then power will be add

So

## Problem 451

**Factor completely.**

**
** + 5x – 36

**Solution:-**

Do factor

+ 9x – 4x – 36

X(x+9)-4(x+9)

(x+9)(x-4)

## Problem 450

**Solve the equation.**

**Solution:-**

When we remove mod sign then value become positive but here both sides have mod so one time we take any one side positive and second time we take negative so here

First take positive we get

4s+7=s+9

4s-s=9-7

3s=2

S=

Now take negative

-(4s+7)=s+9

-4s-7=s+9

-4s-s=9+7

-5s=16

S= –

## Problem 449

**Evaluate the expression, given x = -2, y = 3, and a = -4.**

**-6(x + 4) + 5**

** **

**Solution**

Put all values

-6(-2+4) +5

= 12-24+5(16)

= -12+80

=68

## Problem 448

**Evaluate the expression, given x = -2, y = 3, and a = -4.**

**
**2a – 7y – 4x

**Solution**

**Put all values**

2(-4)-7(3)-4(-2)

= -8-21+8

= -21

## problem 447

**Solve the equation.**

**
**20t + 1 = 11t + 7

**Solution:-**

20t-11t=7-1

9t=6

T=

## Problem 446

**Solve the equation for x.**

x = (6x – 2)(2k + 1)

**Soluiton**:-

**X=6x(2k+1)**-2(2k+1)

**X=12xk+6x**-4k-2

**x**-12xk-6x=-4k-2

**x(1**-12k-6)= -4k-2

**x(**-12k-5)= -4k-2

**x= **

**x= **

## Problem 445

**Find expressions for the Revenue, Cost, and Profit from selling x thousand items.**

**
**Item Price Fixed Cost Variable Cost

$5.00 $58,684 3698x

**Solution:**–

Revenue=5000x (5 dollar per item * 1000x)

Cost=58684+3698x (fixed cost+variable cost)

Profit=5000x-58684-3698x (revenue profit)

Profit= 1302x-58684

## Problem 444

**Use factoring to solve the equation.**

5 – 14m = 0

**Solution:-**

Take m common

M(5m-14)=0

So m=0 or 5m-14=0

M=0 or m=

## Problem 443

Find the reciprocal of ()(15)

**Solution**

Reciprocal means multiply the given value by other value then answer become 1

So in this question

If we multiply it by then value become 1