1) 3x(x-3)+x(x-1)=50
2) 4x^2-10x=50
3) 2x^2-5x-25=0

How do you get from steps 1 to 2 to 3?

Answers

Answer 1

Step-by-step explanation:

okok

3x(x-3)+x(x-1)=50multiply inside the brackets then3x^2-9x+x^2-x=50then arrange then according to power and add or subtract 4x^2-10x=50 here is your step 2take 2 common form LHS as2(2x^2-5x)=50then you will get your step 3 as2x^2-5x=25.....25 comes from 50/2 and 2 is from LHS

Related Questions

A little help please i dont know how to do this

Answers

Since the problem did not specify which direction I did both.

For 90 degrees clockwise, A’=(2,3) B’=(4,-2) C’=(1,-3)

For 90 degrees counterclockwise, A’=(-2,-3) B’=(-4,2) C’=(-1,3)

Multiply.

1,000 x 550.343978

Answers

Answer:

1,000 x 550.343978 = 550343.978

1,000 x 550.343978 = 550343.978

Heather and her friends want to buy tickets to the Harry Styles concert. Each ticket cost 85$ and parking cost 25$. Write an equation to represent if Heather spends 280$

Answers

answer: 85+85+85+25



15. Tim can finish painting his barn in 10 hours. It takes
his wife JoAnn only 8 hours to do the same job. If they
work together, how long will it take them to complete the
job?

Answers

Answer:

4 4/9

is the time it will take

Two tracking stations are on the equator 163 miles apart. A weather balloon is located on a bearing
of N 43°E from the western station and a bearing of N 17°E from the eastern station. How far, to the
nearest mile, is the balloon from the western station? i got 322 miles

Answers

If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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Suppose an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously. How much will the account be worth after
25 years? (Round your answer to two decimal places.)
$

Answers

The amount in the account after 25 years be $ 84,216.11

Given, an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously.

We have to find the amount in the account after 25 years.

Now, on using the compound interest amount formula, we get

Amount = P(1 + r/100)^t

Amount = 18500(1 + 6.25/100)^25

Amount = 18500(1.0625)^25

Amount = 18500(4.55)

Amount = 84,216.1137

Hence, the amount in the account after 25 years be $ 84,216.11

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Jay and Ted observed two points, P and Q, on a number line.

A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0.
Jay said that the absolute values of the numbers represented by the two points are the same.

Ted said that the absolute values of the numbers represented by the two points are different.

Which of the following explains who is correct? (1 point)

Jay, because each point is fraction 1 over 8 unit from 0
Jay, because the distance between the points is fraction 1 over 8 unit
Ted, because the points are on different sides of 0
Ted, because the points are at different locations on the number line

Answers

Jay, because each point is fraction 1 over 8 unit from 0.

What is absolute length?

One way to think about a number's absolute value is as its distance from zero on the real number line.In addition, the distance between two real numbers is the absolute value of their difference.

For instance, the absolute value of 12:

Since each number is 12 units away from zero, it is clear that 12 and -12 both have the same absolute value, which is 12. In order to determine the absolute value of a negative number, simply remove the minus sign. Absolute value is always positive.

Absolute value is the length from which the number is from 0 in this they are adding two so it would mean that they are both 1/8 away from 0.

Hence, Jay, because each point is fraction 1 over 8 unit from 0.

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Joyce paid $120.00 for an item at the store that was 40 percent off the original price. What was the original price?

$

Give your answer to the nearest cent.

Answers

The original price was $200.00. If you subtract 100-40=60 so 60% of the original price is $120.00… so then you have to divide 120 by 6 to get $20 which is equal to 10%. Now you just multiply 20 by 4 to get $80 and then just add it to 120 to get $200.00

Can you calculate the area of this land and if so, can you help me?
Se podría calcular el area de este terreno? y si es así pueden ayudarme?

Answers

The area of the rectangular land is 208,607 square meters,

A rectangle is defined as a quadrilateral whose opposite sides are equal and parallel

How to find the area of a rectangle?

The lengths of a rectangle are denoted by L and W

where: L=length

            w=width

Area of the land (A)= Area of the larger land  minus Area of the smaller land carved out

A= (LW) - (lw)

A=(513x466.5)-(267x113)

A=239,312-30705

A=208.607 meters square

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a magician charges a $30 fee to cover travel and expenses, plus $19.99 per hour. Write an equation to represent the relationship between h, the number of hours, and t, the total charge for the magician.

Answers

The equation to represent the relationship between h and t is

t = 30 + 19.99h.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, the magician charges a $30 fee one time and a $19.99 fee per hour.

The total charge, t,  for the magician for h hours is,

t = 30 + 19.99h

Hence, the equation to represent the relationship between h and t is

t = 30 + 19.99h.

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what is the ancer to 50+50

Answers

Answer: 100 is the ancer m

Step-by-step explanation: my man

4 and 3 half's divided by 2 and 7
halfs minus 8

Answers

Answer:

4/3/2/7-8= -7

Step-by-step explanation:

100 pointers! pls answer ASAP!!!!
find the measure of angle A show all your work

Thx

Answers

The value of ∠A in triangle ABC is 40°

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given triangle ABC,

∠A=7x-16°, ∠B=81°

By alternate segment theorem,

∠C=4x+27°

The sum of all the angle of a triangle is 180°.

∠A+∠B+∠C=180°

⇒7x-16+81+4x+27=180

11x=180-92

11x=88

x=8

So the value of ∠A=7×8-16 = 40°

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Answer:

The value of ∠A in triangle ABC is 40°

Pretty much the same as the person that posted before.

Suppose the number cube was rolled 500 times. Based on the results in the table, about how many times would it land on 5?

Answers

The number of times that the cube will land on 5 if the number cube was rolled 500 times is 83 times.

What is probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

It should be noted that in a number cube, we hage numbers from 1 to 6. The probability of getting a 5 is 1/6.

Therefore, when it's rolled 500 times, the possible number will be:

= 1/6 × 500

= 83 times.

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What is the equation of this graph the line?

Answers

The slope-intercept form of the given line be,

y = -(9/8)x + 7

Given, a line is passing from two points (0 , 7) and (8 , -2)

we have to find the slope-intercept form of the equation of the line passing from the given points.

Using the slope-intercept form, we get

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 7)/(x - 0) = (7 - (-2))/(0 - 8)

(y - 7)/(x - 0) = 9/-8

-8(y - 7) = 9x

-8y + 56 = 9x

9x + 8y = 56

Slope-intercept form of the equation is,

y = -(9/8)x + 7

Hence, the slope-intercept form of the given line be, y = -(9/8)x + 7

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can somebody please help me

Answers

Answer:

B

Step-by-step explanation:

This is correct because it is the only one in proper set notation.

Hope it helps!

. Which equations are true? Choose all that apply.
A. 2 x 0 = 2
B. 5x0=9×0
D.) 1 x 3 = 3
C. 6 x 1= 3x2

Answers

B C and D are all right because anything times 0 is 0 the 6x1 is 6 and 3x2 is 6 then anything times one is itself

There are 8 roses and 7 daisies in a vase.
(a) What is the ratio of roses to all flowers in the vase?
(b) What is the ratio of daisies to all flowers in the vase?

Answers

a) 8:15
b) 7:15

Hope it helps

A department store buys 400 shirts at a cost of $3,200 and sells them at a selling price of $10 each. What is the percent markup?

Answers

3,200/400=8 and to get to ten is just 25% so it’s 25%

Add.

(-x³-x)+(6x² + 6x -7)

Answers

Answer:

[tex]-x^{3}+6x^{2} +5x-7[/tex]

Step-by-step explanation:

-x^3-x+6x^2+6x-7

Order the polynomial from exponent order to make it easier

-x^3+6x^2+6x-x-7

-x^3+6x^2+5x-7

Hopes this helps please mark brainliest

Answer:

-x^3+6x^2+5x-7

Step-by-step explanation:

open parentheses, collect like terms.

What is the constant of proportionality, ?
I
y
30+
28+
26+
-24+
22+
20+
18+
16+
14+
12+
10+
8+
6+
4+
2+
2
3
4
5
6
7
8
I

Answers

Answer:50.8%

Step-by-step explanation:

Which fraction has the same value as 44.4¯%?

Answers

Answer: 111/250

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

44.4% = 44.4/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

44.4/100 = (44.4 x 10)/(100 x 10) = 444/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(444,1000) = 4. So,

Which of the following is a rational expression?
1) 2
2) 6/x-20
3) 20x^2+2/9x^3+x
4) All of them are rational expressions?

Answers

Answer:

All of them

Step-by-step explanation:

A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.

Consider two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.

Answers

The value of the consecutive numbers are 7 and 8.

What are consecutive integers?

Consecutive integers simply means the numbers that follow each others. It should be noted that such numbers have the same difference between them.

From the information given, we want to find two consecutive positive integers such that the square of the second integer added to 6 times the first is equal to 106.

Let the numbers be x and x+1.

Therefore, 6x + (x + 1)² = 106

6x + x² + 2x + 1 = 106

Collect like terms

x² + 8x + 1 - 106

x² + 8x - 105

x² + 15x - 7x - 105

x(x + 15) - 7(x - 15) = 0

Therefore x - 7 = 0

x = 0 + 7

x = 7

Therefore x + 1

= 7 + 1

= 8

The numbers are 7 and 8.

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15 more than twice Janelle's age
Use the variable j to represent Janelle's age

Answers

15 more than twice Janelle's age
Use the variable j to represent Janelle's age
Answer:

1. Represent "twice than Janelle's age":

-> 2j.

2. Represent "fifteen more than twice than Janelle's age":

-> 15+2j.

3. Final answer.

15+2j.

How many units are in 10 lots

Answers

A standard lot is an amount of currency which is the same as 100,000 units of a base currency .

What are the types of lot sizes?

There are three lot sizes;

The standard lotThe mini lotThe micro lot

In finance, a lot indicates a measure or increment of a commodity that can be transacted. Products are bought and sold using different lot sizes. Products such as spot forex are sold in lots of 100,000, 10,000, 1,000, or 100 units.

Competition and brokerage online has resulted in the introduction of various lot sizes and forms.

A change of $10 corresponds to a pip movement of a standard lot.

By buying $100,000 at ¥110.00 and the price increases to ¥110.50, which indicates a 50 pip movement and a gain of $500 and vice versa.

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The farmer has 8.9kg of animal feed. In a day, he used 350g for the chickens, 675g for the cows and 1.3kg for the horses. How much feed will he have left?​

Answers

Answer:

-1027.4

Step-by-step explanation:

that is the answer i got from my calculations. I hope this is right

A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising as she leaves the ramp?

Answers

The waterskier has a final speed of approximately 25.350 feet per second.

What is the final speed of the waterskier?

In this question we need to determine the final speed of the waterskier, that is, the final speed of the waterskier when she leaves the ramp. This can be done by means of the principle of energy conservation, where the total energy is the result of combining translational kinetic energy (K), in pounds-feet per second, related to the speed of the waterskier, and gravitational potential energy (U), in pounds-feet per second.

The equation that represents the situation is described below:

K = U + K'

0.5 · m · v² = m · g · h + 0.5 · m · v'²

0.5 · v² = g · h + 0.5 · v'²

v'² = v² - 2 · g · h

Where:

K' - Final translational kinetic energy, in pounds-feet per second.K - Initial translational kinetic energy, in pounds-feet per second.m - Mass of the waterskier, in pounds.v - Initial speed of the waterskier, in feet per second. v' - Final speed of the waterskier, in feet per second.g - Gravitational acceleration, in feet per square second. h - Final height of the waterskier, in feet.

If we know that v = 30 ft / s, g = 32.174 ft / s² and h = 4 ft, then the final speed of the waterskier is:

v' = √[(30 ft / s)² - 2 · (32.174 ft / s²) · (4 ft)]

v' ≈ 25.350 ft / s

The final speed of the waterskier is approximately 25.350 feet per second.

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Help to solve this question attached below###

Answers

Seems as though it’s the y intercept.

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?

Answers

The smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.

Given, a function

y = 1/2(x² - 8)

We have to find the smallest distance between origin and a point on the graph of y = 1/2(x² - 8).

Now, the point on the graph be,

( x , 1/2(x² - 8) ) and origin be (0 , 0)

Let the function of the distance between both the points be,

D = √(x - 0)² + (1/2(x² - 8) - 0)²

D = √x² + 1/4(x² - 8)²

D² =  x² + 1/4(x² - 8)²

On differentiating, we get

2DD' = 2x + x(x² - 8)

x³ + 2x - 8x = 0

x³ - 6x = 0

x(x² - 6) = 0

So, x = 0 , √6 , -√6

and the distance is minimum for x = √6

Therefore, using distance formula, we get

Distance = √(x1 - x2)² + (y1 - y2)²

Distance = √(0 - √6)² + (0 - (-1))²

Distance = √6 + 1

So, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.

Hence, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.

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