Divide Polynomials using Synthetic division (3x4-5x3+3x2-2x+3) / x-3

A lay came to the market to sell eggs . We first customer bought 1/2 of all her eggs and 1/2 of an egg. Her second customer boug

Bezzdna [24]

Given:

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg.

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.

At this point she had sold all her eggs.

To find:

The number of egg the lady have when she came to the market.

Solution:

Let x be the number of egg that the lady have when she came to the market.

First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg. So, the number of remaining eggs after first customer is

$x-\dfrac{1}{2}x-\dfrac{1}{2}=\dfrac{x}{2}-\dfrac{1}{2}$

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. So, the number of remining egg after second customer is

$\text{Remaining eggs}=\dfrac{x}{2}-\dfrac{1}{2}-(\dfrac{x}{2}-\dfrac{1}{2})\times \dfrac{1}{2}-\dfrac{1}{2}$

$=\dfrac{x}{2}-\dfrac{1}{2}-\dfrac{x}{4}+\dfrac{1}{4}-\dfrac{1}{2}$

$=(\dfrac{x}{2}-\dfrac{x}{4})+(-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{2})$

$=(\dfrac{2x-x}{4})+(\dfrac{-2+1-2}{4})$

$=\dfrac{x}{4}-\dfrac{3}{4}$

At this point she had sold all her eggs. It means the remining eggs is 0.

$\dfrac{x}{4}-\dfrac{3}{4}=0$

$\dfrac{x}{4}=\dfrac{3}{4}$

Multiply both sides by 4.

$x=3$

Therefore, the lady came to the market is with 3 eggs.

8 0

3 years ago

What the answer asap

Westkost [7]

The ounces are greater than the pints.

I do hope I got what you needed and helped! :)

4 0

3 years ago

Help please, Ill try to give branliest if it is right :)

uranmaximum [27]

Answer:

3x3= 9

9-3=6

3+3=6

Step-by-step explanation:

8 0

3 years ago

Please help me. look at the picture.

Butoxors [25]

It’s 0.775x +2.5 =correct

6 0

3 years ago

At a salesperson nakia is paid $50 per week plus$3 per sale.This week makati hopes to earn at least $100. Write an inequality fo

Inessa [10]

Answer:

The Inequality representing the number of sales needed is $50+3x\geq 100$ .

Mali need to make at least 17 sales for to earn $100.

Step-by-step explanation:

Given:

Amount paid per week = $50

Amount paid on per sale = 3

Total amount to be earned $\geq$ $100

We need to write and solve the inequality to find the number of sales need to be make.

Solution:

Let the number of sales need to be make be 'x'.

Now we can say that;

Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.

framing in equation form we get;

$50+3x\geq 100$

Hence the Inequality representing the number of sales needed is $50+3x\geq 100$ .

On Solving above Inequality we get;

Subtracting both side by 50 using Subtraction property of Inequality we get;

$50+3x-50\geq 100-50\\\\3x\geq 50$

Now Dividing both side by 3 Using Division property of Inequality we get;

$\frac{3x}{3}\geq \frac{50}{3}\\ \\x\geq 16.66$

Hence Mali need to make at least 17 sales for to earn $100.

4 0

3 years ago