help me please help me

Help Me Please Help Me

Answers

Answer 1

Step-by-step explanation:

it is very similar to do the manual division of numbers.

5x² - 18x - 15 ÷ x - 4 =

so, we are starting on the left, dividing 5x² by x.

5x²/x = 5x

5x² - 18x - 15 ÷ x - 4 = 5x

then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term

5x² - 18x - 15 ÷ x - 4 = 5x

- 5x² -20x

---------------

0 2x - 15

and again, we take the left term and divide by x :

2x/x = 2

5x² - 18x - 15 ÷ x - 4 = 5x + 2

and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.

5x² - 18x - 15 ÷ x - 4 = 5x + 2

- 5x² -20x

---------------

0 2x - 15

- 2x - 8

--------------------

0 -7

there is no more term to pull down, so we are finished.

there is a remainder in the last line unequal to 0.

this becomes therefore -7/(x - 4).

so, the total result is

(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)

2.

the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.

6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3

- 6x³ - 4x²

---------------

0 -12x² + 17x

- -12x² + 8x

-----------------------

0 9x - 6

- 9x - 6

----------------------------

0 0

there is no remainder in the last line, so the result is

(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3


Related Questions

1. 5- (-8) =
2. -3 1/2 - 4 1/2 =
3. -7 - 4 =
4. -0.5 - 3.5 =

Answers

Answer:

1. 5- (-8) = 13

2. -3 1/2 - 4 1/2 = -7 1/2

3. -7 - 4 = -11

4. -0.5 - 3.5 = -4

Step-by-step explanation:

1. 5- (-8) =

5 + 8

13

2. -3 1/2 - 4 1/2 =

-7 1/2

3. -7 - 4 =

-11

4. -0.5 - 3.5 =

-4

i need help with this, thanks

Answers

Answer: 11

Step-by-step explanation:

8x + 7 = 9x - 4

7 = x - 4

11 = x

You purchase a home for $200,000 which appreciates at 2.5%. How much is it worth in 7 years?

Answers

Answer: The answer I came up with is:  $237,737

Mrs. argueta needed to fill up her gas tank. gas cost $3.66 per gallon and she needed 9 1 2 gallons. how much did it cost mrs. argueta to fill up her tank?

Answers

Answer:

$3337.92

Step-by-step explanation:

$3.66 x 912 = $3337.92

8. Which best describes the relationship between the line that passes through (-1, -8) and (4,-4) and the line
that passes through (2, -9) and (7,-5)?
a. parallel
b. perpendicular
C.
same line
d. neither perpendicular nor parallel

Answers

Considering the expression of a line, the correct answer is option a.) the relationship between the line that passes through (-1, -8) and (4,-4) and the line that passes through (2, -9) and (7,-5) is parallel.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Parallel line

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

Perpendicular line

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

Relationship between lines in this case

In this case, you can calculated in this case:

Being (x₁, y₁)= (-1; -8) and (x₂, y₂)= (4; -4), the slope m can be calculated as:

m= (-4 - (-8))÷ (4 - (-1))

m= (-4 + 8)÷ (4 + 1)

m= 4÷ 5= 4/5

Considering point 1 and the slope m, you obtain:

-8= 4/5× (-1) + b

-8= -4/5 +b

-8 + 4/5= b

-36/5=b

The equation of the line that passes through the pair of points (-1, -8) and (4,-4) is y=4/5x - 36/5.

Being (x₁, y₁)= (2; -9) and (x₂, y₂)= (7; -5), the slope m can be calculated as:

m= (-5 - (-9))÷ (7 - 2)

m= (-5 + 9)÷ (5)

m= 4÷ 5= 4/5

Considering point 1 and the slope m, you obtain:

-9= 4/5× (-2) + b

-9= -8/5 +b

-9 + 8/5= b

-37/5=b

The equation of the line that passes through the pair of points (-1, -8) and (4,-4) is y=4/5x - 37/5.

You can see that the lines y=4/5x - 36/5 and y=4/5x - 37/5 have the same slope of 4/5 and different ordinates to the origin. So, this lines are parallel.

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help i don’t get it
answers pls

Answers

Answer: 13

Step-by-step explanation:

As the sum of the angles of a triangle is 180, we have that 39 + 90 + 3x+12 = 180.

3x = 180 - 39 - 90 - 12

3x = 39

x = 13

for a sequence of events in which the first event can occur n 1 ​ways, the second event can occur n 2 ​ways, the third event can occur n 3 ​ways, and so​ on, the events together can occur a total of n 1 times n 2 times n 3 times ... ways. this is called​ .

Answers

The most appropriate choice for Independent event and multiplicative counting rule will be given by

This is known as multiplicative counting rule.

What is Independent event and multiplicative counting rule?

Event that is not dependent on any other event is called independent event.

Let A and B be two independent events.

P(A∩B) = P(A) [tex]\times[/tex] P(B)

If two independent events occur m ways and n ways respectively then both the event together will happen in mn ways.

Here,

Let first event occur [tex]n_1[/tex] ways, second event occur [tex]n_2[/tex] ways, third event occurs [tex]n_3[/tex] ways and so on

Also assuming that the events are independent

The event together can happen [tex]n_1 \times n_2 \times n_3\times...[/tex] ways

This is known as multiplicative counting rule.

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F(4) if f(x) = 3 x -1

Answers

Answer:

f(4) = 11

Step-by-step explanation:

f(x) = 3 x -1

Let x = 4

f(4) = 3*4 -1

     = 12-1

     = 11

f (x) = 3x - 1

f (4) = 3 × 4 - 1

f (4) = 12 - 1

f (4) = 11

Hope Helpful :-;

1) The compound interest of a sum of money is Rs 13310 and in 4 years is Rs 14641. Find the rate of interest and sum.​

Answers

The rate of interest is 10% and the sum is Rs 10,1000.

What is compound interest?

The interest calculated on the principal and the interest accrued over the prior period is known as compound interest. Compound interest is commonly abbreviated C.I. in mathematics.

The compound interest formula is given by

Compound Interest = Amount – Principal

Here, the amount is

[tex]A=P(1+\frac{r}{100} )^{n}[/tex]  where,

A = amount

P = principal

r = rate of interest

n = time (in years)

Given:

C.I. of a sum of money in 3 years = Rs 13310

C.I. of a sum of money in 4 years = Rs 14641

Let the principal be P and the rate of interest be r%

Then, according to the question,

For 3 years:

[tex]13310=P(1+\frac{r}{100} )^{3}[/tex]       ..... (1)

For 4 years:

[tex]14641=P(1+\frac{r}{100} )^{4}[/tex]       ..... (2)

Dividing equation (2) by (1), we obtain

[tex]\frac{14641}{13310} =(1+\frac{r}{100} )[/tex]

⇒[tex]\frac{14641-13310}{13310} =\frac{r}{100}[/tex]

⇒[tex]\frac{1331}{13310} =\frac{r}{100}[/tex]

⇒[tex]r=\frac{100}{10}[/tex]

⇒ r = 10%

Now, substituting r in equation (1),

[tex]13310=P(1+\frac{10}{100} )^{3}[/tex]

⇒[tex]13310=P(\frac{1331}{1000} )[/tex]

⇒P = Rs 10,000

Therefore, the rate of interest is 10% and the sum is Rs 10,1000.

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Find the value of x if T is the midpoint of segment XY. Segment XT = 3x-14, Segment XY = 8x-56

Answers

The value of x if T is the midpoint segment XY is 14.

How to find the mid point of a segment?

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints.

The midpoint is halfway between the two end points.

Therefore, the end point of the segment is XY.

The midpoint is T.

Hence,

XY = XT + YT

XT = 3x - 14 = YT

XY = 8x - 56

Let's find the value x.

Therefore,

8x - 56  = 3x - 14 + 3x - 14

8x - 56 = 6x - 28

8x - 6x = -28 + 56

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

Therefore, the value of x is 14

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How is the graph of each equation related to
standard form Ax + By = C?

Answers

Answer:

When A = 0 and y = 1 and C = 2

0x + 1y = 2

y = 2 No matter what x is, y will always be 2 and this will create a horizontal line.

Step-by-step explanation:

If f(x) = 4x6 + x² + 4, then what is the remainder when f(x) is divided by x -1?​

Answers

Answer:

9

Step-by-step explanation:

[tex]p(x)=4x^6+x^2+4 \\ \\ p(1)=4+1+4=9[/tex]

find the number of sides of a regular polygonwhose exterior angle measure 18°

Answers

Answer:

20

Step-by-step explanation:

The sum of the exterior angles of a polygon add to 360.  360 divided by 18 is 20.

Divide
-36
-8
Enter your answer as a mixed number, in simplified form, in the box.

Answers

the answer is this

4 4/8.

7. If Antonio makes x dollars per regular hours, and his boss tells him that he is
going to get paid over time at double time, write an equation to find his hourly
rate if he makes $1578.5 working 55 hours this week.

Answers

The equation for the hourly rate is 55x = 1578.5

For double hourly rate for overtime, it is 55 x 2x= 1578.5

Given

Antonia makes X dollars for regular hours

And 2x dollars for over time

Since he works 55 hours this week he works 8 hours a day

Hence the equation is as follows

55x = 1578.5

x= $28.7

In case of double payment during overtime

He gets double amount as following equation

55 x 2x

55 x 2(28.7) =  $3157

Hence the equation to find his hourly rate is 55x = 157.85

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What is the smallest possible degree that the polynomial can have and why?

Answers

Check the picture below.

the ratio of 26,000 bytes to 48,000 bytes can be written in fractional form as

Answers

Answer:

26000:48000

26000/48000

26/48(cancel the zeros)

13/24

fractional form=13/24

Someone please help me!!! ( I'll mark brainliest )

Answers

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

round to the underlined digit:

Answers

Answer:

c because if the number next to the underlined is above 5 u round up under 4 u round down

Step-by-step explanation:

Answer: c. 76

Step-by-step explanation: 0.758 to the hundredth place is 0.76 because numbers5 and above round up.

help asap please and thank u

Answers

Answer:

y = 5, 3

x = 155, 171

(y = 5, x = 155)

(y = 3, x = 171)

Step-by-step explanation:

(8y - 15) = (y²)

-8y + 15          -8y + 15

--------------------------------

y² - 8y + 15 = 0

(y - 5) (y - 3) = 0

--------------

y = 5, 3

----------------------------------------------------------------------------------------------------------

y² + x = 180

(5)² + x = 180

25 + x = 180

-25         -25

--------------------

x = 155

(3)² + x = 180

9 + x = 180

-9            -9

------------------

x = 171

----------------------------------------------------------------------------------------------------------

I really hope this helps!

You cut a 90-foot rope into 6 pieces of equal length. What is the length of
each piece?

Answers

Answer:

Length = 15

Step-by-step explanation:

The problem can be solved by dividing the total length of the rope (90-feet) by the total pieces you want from the rope (6 pieces). This information can be used to make this equation

90 feet / 6 pieces

Which equals

90 feet / 6 pieces = 15 feet/piece        (15 feet per peice)

Hope this helps :)

Karen is driving her moterhome. It uses 3 gallons of gas for every 24 milesComplete the table below showing the number of gallons used and the distance traveled.

( The table is 3,24 6, ? 7,? ? , 72 and 10, ?)

Answers

Answer: 6, 48 and 7, 56 and 9, 72 and 10,80

Step-by-step explanation:

The equation y = 0.43x + 50 models the cost y of renting a car if the car is driven x
miles.
According to the model, what is the best estimate of the cost for renting a car if you
plan to drive 489 miles? Please round your answer to the nearest dollar.

Answers

By solving the given equation (y = 0.43x + 5) we know that the cost of renting the car is $215 when we plan to drive 489 miles.

What do we mean by equations?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.

So, y = 0.43x + 5 where 'x' is car driven and 'y' is the cost of renting.

Now, solve for y when the value of x is 489.

y = 0.43x + 5y = 0.43(489) + 5y = 210.27 + 5y = $215.27

Rounding off: y = $215

Therefore, by solving the given equation we know that the cost of renting the car is $215 when we plan to drive 489 miles.

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Which expression is equivalent to t
3(x+24)?

A-2/3x+24
B-2/3x+16
C -2/3x-16
D 2/3x-16

Answers

C
Because of -2 the answer is c

Bob makes some fruit punch that contains apple and mango juice in a 1:5 ratio. If he uses 15 pints of the mango juice how many pints of apple juice will he need

Answers

he needs 3 pints of mango

Answer:3

Step-by-step explanation:

If the ratio is 1:5 that means that the number of pints of apple juice is multiplied by 5 to get the nimber of pints of mango juice

There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?

Answers

We can conclude that the probability of the randomly selected person does not use any facility is 0.

What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.Statistics is the study of events that follow a probability distribution. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

So, the probability that the selected person does not uses any facility:

According to the given data, we can easily say that all the people use some or the other facility.So, there are 0 people present who do not use the facility.Then, the probability that the selected person does not use any facility will be 0.

Therefore, we can conclude that the probability of the randomly selected person does not use any facility is 0.

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Find the area of the pool. Write as a polynomial.
Pool
6x
3x-5

Answers

area is equal to 18x 2-5

Please answer the question in the photo

Answers

Answer:

u= 30

Step-by-step explanation:

the sum of all angles on a triangle is 180* so u add the others (120+30)

that brings it to 150 then 180-150=30*

PLEASE HELP!: I'm so confused about what equations to write for the problem. All I need is the equations and I can solve it alone! I'll give brainly!

You invest $8,000 in 3 investment accounts. The accounts are: paper, metal, and glass. Paper returns 2% income, metal returns 4% income, and glass returns 5% income. The amount invested in the glass account was double the amount invested in the metal account. The yield was a total of $280 at the end of one year. How much was invested in each account?

Answers

Using simple interest, the amounts invested into each account are given as follows:

Paper returns: $3,500.Metal returns: $1,500.Glass returns: $3,000.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

P is the initial amount.r is the interest rate, as a decimal.

The amount of interest after t years is given by:

I(t) = Prt

You invest $8,000 in 3 investment accounts, hence:

[tex]P_1 + P_2 + P_3 = 8000[/tex]

From the rates of the account, we have that:

[tex]I_1 = 0.02P_1[/tex][tex]I_2 = 0.04P_2[/tex][tex]I_3 = 0.05P_3[/tex]

The amount invested in the glass account was double the amount invested in the metal account, hence:

[tex]P_3 = 2P_2[/tex]

The yield was a total of $280 at the end of one year, hence:

[tex]I_1 + I_2 + I_3 = 280[/tex]

[tex]0.02P_1 + 0.04P_2 + 0.05P_3 = 280[/tex]

From the first and the third equations, we have that:

[tex]P_1 + P_2 + P_3 = 8000[/tex]

[tex]P_1 + 3P_2 = 8000[/tex]

[tex]P_1 = 8000 - 3P_2[/tex]

Hence the amount of the metal investment can be found as follows:

[tex]0.02P_1 + 0.04P_2 + 0.05P_3 = 280[/tex]

[tex]0.02(8000 - 3P_2) + 0.04P_2 + 0.05(2P_2) = 280[/tex]

[tex]0.08P_2 = 120[/tex]

[tex]P_2 = \frac{120}{0.08}[/tex]

[tex]P_2 = 1500[/tex]

Hence the other investments are given as follows:

Paper: 8000 - 3 x 1500 = $3,500.Glass: 2 x 1500 = $3,000.

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Please help me please

Answers

The answer is 1, the solution is in the photo
The answer is 1 bc if you work it out you get 5
-
5
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