an article after allowing a discount of 20% on its marked price was sold at a gain of 20% had it been sold after allowing 25% discount would have been of gain of rupees 125 find the Marked price of the article​

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The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3

Answer:

1 million scooters

Step-by-step explanation:

We are told that the profit (in millions of dollars) for a producer of electric scooters can be modeled by P = -x³ + 7x where x is the number of scooters produced (in millions).

We are told that currently the company produces 2 millions scooters and makes a profit of $6,000,000.

Thus, the profit equation is;

6 = -x³ + 7x

x³ - 7x + 6 = 0

We are given 2 as a root.

Let's try 1.

1³ - 7(1) + 6 = 0

0 = 0

So 1 is a root.

Thus, the lesser number of scooters the company could produce and still yield the same profit is 1 million scooters

Answer:

f(x)

Step-by-step explanation:

Answer:

Its = -5

Step-by-step explanation:

Answer:

Please use "^" to denote exponentiation:  f(x) = x^2 + 3x + 5.

Because this is a polynomial, the domain consists of the set of all real numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain is the people and the range is the money spent

People would be counted as positive integers, only the last answer choice considers this.

So the answer is:

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]

Step-by-step explanation:

Given

As we know that the equation of a line in point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -5/4 and point = (8, -9)

[tex]y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)[/tex]

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

Writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

subtract 9 from both sides

[tex]y+9-9=\frac{-5}{4}\left(x-8\right)-9[/tex]

[tex]y=-\frac{5}{4}x+1[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]

Answer:

Step-by-step explanation:

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

Answer:

3.125

Step-by-step explanation:

I had use a calulator I'm sorry if I'm

Answer:

0.32

PLEASE MARK BRAINLIEST

Answer:

3.5(11) means 3.5 times 11? in that case

Step-by-step explanation:

first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor

second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely

Answer:

(0, 6), (4, 5)

Step-by-step explanation:

graph (0, 6) first, then from those points go down -1 and over 4 to get (4, 5)

Answer:

so the answer must be 8

Step-by-step explanation:

4×-2(×+3)=8

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x=−3 and y=5

Step-by-step explanation:

Answer:

i do but cant now

Step-by-step explanation:

Answer:

1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent.

2. None of them will taste different as the ratios are same.

Step-by-step explanation:

First of all we have to write the three ratios as fractions to see if the ratios are equivalent ratios or not.

We will see the water to cups ratio

The ratios in fractional form are:

[tex]=\frac{1}{3}\\=\frac{4}{12}\\=\frac{6}{18}[/tex]

Putting all the ratios together

[tex]\frac{1}{3} = \frac{4}{12} = \frac{6}{18}\\\frac{1}{3} = \frac{1}{3} = \frac{1}{3}[/tex]

1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent. All the recipes will taste same.

2. None of them will taste different as the ratios are same.

Answer:

x=-10

Step-by-step explanation:

3(x-6) +8=5x-6=

3x-18+8=5x-6=

3x-10=5x-6=

3x-5x=10-6=

-2x=4

x=-2

Answer:

x = -2

Step-by-step explanation:

3(x - 6) + 8 = 5x - 6

Distribute;

3x - 18 + 8 = 5x - 6

Collect like terms;

3x - 10 = 5x - 6

Subtract 5x from both sides;

-2x - 10 = -6

Add 10 to both sides;

-2x = 4

Divide both sides by -2

x = -2

Answer:

Answer 3.

Step-by-step explanation:

took the quiz on edge

Answer:

c

Step-by-step explanation:

Answer:How much weight should newborns gain?

A healthy newborn is expected to lose 7% to 10% of the birth weight, but should regain that weight within the first 2 weeks or so after birth. During their first month, most newborns gain weight at a rate of about 1 ounce (30 grams) per day.

Step-by-step explanation:

Answer:

i can't read it, plz zoom in next time

Answer:

-60

Step-by-step explanation:

s=-105+45

=-60

hope it helps

Answer:

12

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

Firstly find the median of the data.

The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

5,  6,  13,  18,  18 ← data in ascending order

           ↑ middle value

median = 13

The upper quartile Q₃ is the middle of the data to the right of the median

13,  18,  18

       ↑ middle value

Q₃ = 18

The lower quartile Q₁ is the middle value of the data to the left of the median

5,  6,  13

    ↑ middle value

Q₁ = 6

Interquartile range = Q₃ = Q₁ = 18 - 6 = 12

Answer:

x=4

Step-by-step explanation:

I used cross multiplication

7+2x/3=5

7+2x/3=5/1

7+2x(1)=5(3)

7+2x=15

2x=15-7

2x=8

x=4

Answer:

x = 4

Step-by-step explanation:

The goal is to get x by itself.

1. Multiply both sides by 3 and you are left with:

7 + 2x = 15

2. Subtract 7 from both sides and you are left with:

2x = 8

3. Simplify by dividing each side by 2 and you are left with the answer:

x = 4

Answer:

the answer is D

Answer:

uh

Step-by-step explanation:

Answer:

2.5 per minute

Step-by-step explanation:

Hope this helps.