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Umnica [9.8K]
3 years ago
13

Is about inequalities, I know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples c

onfuse me.
To make this inequality 5x+2y<14 into the slope-intercept form y=mx+b, please tell me if the sign has to be flipped.
I do it like this
5x+2y<14
y<-5/2x+14/2
y<-5/2x+7
I am not dividing by a negative number but 5 is negative, 2 is positive, should I flip the sign or not?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

do not flip the sign

Step-by-step explanation:

you only flip when you divide with negative number

however, for you to get the intercepts, you assumed

for y =0

5x +2(0)<14

5x<14

x<14/5<2.8

and also

x=0

5(0)+2y<14

2y<14

y<14/2

y<7

this assumption is because at interception, either x or y will be at origin

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6 0
3 years ago
F(x) = - x2 + 2x; {–1, 2, 3}
soldi70 [24.7K]
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3 0
3 years ago
a delivery company charges an extra fee for a package that weighs more than 100 pounds write an inequality that shows the weight
Alona [7]

Answer:

w\leq 100\ pounds

Step-by-step explanation:

Let

w------> the weight in pounds

we know that

A delivery company charges an extra fee for a package that weighs more than 100 pounds

so

For

w> 100\ pounds -----> the company charges an extra fee

therefore

For

w\leq 100\ pounds ----> the company not charge an extra fee

8 0
3 years ago
The information given below was extracted from the accounting records of Sunray Traders, a partnership business with Sunny and R
Crank

The preparation of the Profit and Loss Appropriation Account for the year ended February 28, 2022, is as follows:

<h3>What is the Profit and Loss Appropriation Account?</h3>

A profit and loss appropriation account is a special account prepared for the distribution of the partnership's profit and loss for the period.

For Sunray Traders Partnership, the profit and loss appropriation account is detailed below.

<h3>Profit and Loss Appropriation Account</h3>

For the year ended February 28, 2022

                                        Sunny      Raymond       Total

Net Profit for the year                                         R900,000

Interest on capital       R84,000      R24,000    (R108,000)

Annual Salaries         R307,500    R246,000   (R553,500)

Share of profits         R119,250     R119,250  (R238,500)

<h3>Question Completion:</h3>

(c) The partners are entitled to the following monthly salaries from 01 March 2021 to 30 November 2021:

Sunny R25 000 Raymond R20 000

Note: The salaries of the partners were increased by 10% with effect from 01 December 2021.

d) The balance of the profit and loss must be shared equally between Sunny and Raymond.

Prepare the Profit and Loss Appropriation Account for the year ended February 28m 2022.

<h3>Data and Calculations:</h3>

                                              DEBIT        CREDIT

Capital: Sunny                                   R1 000 000

Capital: Raymond                                  600 000

Current a/c: Sunny (01 March 2021)       40 000

Current a/c: Raymond (01 March 2021) 60 000

Drawings: Sunny             R300 000

Drawings: Raymond         400 000

Net profit = R900 000

Sunny's Salaries = R307,500 (R25,000 x 9 + R25,000 x 1.1 x 3)

Raymond Salaries = R246,000 (R20,000 x 9 + R20,000 x 1.1 x 3)

<h3>Capital Accounts Balances:</h3>

                                        Sunny      Raymond       Total

Capital accounts      R1 000 000  R600 000   R1 600 000

Drawings accounts       300 000    400 000        700 000

Net Capital accounts R700 000  R200 000     R900 000

Interest on capital       R 84 000    R24 000       R108 000

Thus, the profit and loss of Sunray Traders Partnership are shared equally as agreed.

Learn more about partnership accounts at brainly.com/question/22693552

#SPJ1

3 0
1 year ago
I need the answer in under 34 min
MissTica

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.

4 0
3 years ago
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