x² – 3x-7
x+2
Divide the following using synthetic division

Answers

Answer 1

Answer:

x-5+ [tex]\frac{3}{x+2}[/tex]

Step-by-step explanation:

If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:

-2 |   1    -3    -7

____________

1. bring down the 1:

-2 |   1    -3    -7

____________

       1

2. multiply that by -2 and enter the result underneath 3:

-2 |   1    -3    -7

             -2

___________

       1

a. then, add through:

-2 |   1    -3    -7

             -2

___________

       1     -5

3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:

-2 |   1    -3    -7

             -2    10

___________

       1     -5    3

Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].

Hope this helped!


Related Questions

what is the second equation for this??

Answers

Step-by-step explanation:

She spent nine dollars in the second equation, so it would be one adult ticket and two children's tickets, or 1x + 2y= 38

Dustin's Lawn Care Service Customer Amount Paid Mrs. Schmitt $15.75 Mr. Jones $9.25 Mrs. Adams $22.50 Mr. Meyer $50.00 How much more does Dustin get paid to mow Mr. Meyer's lawn than to mow the other three lawns combined? Enter your answer in the box. I need helppppp!

Answers

Answer: $2.50

Step-by-step explanation:

The following payments are made by Dustin's Lawn Care Service Customer

Mrs. Schmitt = $15.75

Mr. Jones = $9.25

Mrs. Adams = $22.50

Mr. Meyer = $50.00

To get our answer, we need to add all the payments of the other three. This will be:

= $15.75 + $9.25 + $22.50

= $47.50

The answer will now be:

= $50.0 - $47.5

= $2.50

What is a scale factor?


The ratio of weight of similar 2-D figures


The ratio of corresponding angles of similar figures


The ratio of corresponding sides of similar figures


The ratio of volume of similar 2-D figures

Answers

Answer:

Here is some helpful information from my mini lessons.

Step-by-step explanation:

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Here you'll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.

Principal: $100 Interest Rate: 5% Time: 6 months What is the interest?

Answers

The internet is 70 I believe
it is 70 !!!:))) jagsidjdhdhdb

Calculate the slope of a line that passes through the points (3, -20) and (5, 8).


6

14

26

4

Answers

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 + 20) / (5 - 3)

28 / 2

= 14

So, the slope is 14.

i think she they are right good job

The president wife is leading a humanitarian mission.
A. presidents
B. president's
C. presidents'
D. presidentes'

Answers

Answer:

B

Step-by-step explanation:

Technically it's describing something that belongs to the president.

Answer:

A

Step-by-step explanation:

I chosen A because it is the right answer

daria bought a lemonade cup for $9 . each refill cost $2 . last month daria spent $31 on mug and refills . How many refills did she buy?

Answers

Answer:

Daria bought 11 refills of lemonade last month

Step-by-step explanation:

The equation is:

y = 2x + 9

The cup costs 9 dollars and is 2 dollars per refill

She spent 31 dollars so:

31 = 2x +9

Now we can solve!

2x + 9 = 31

Subtract 9 from both sides!

2x = 22

Divide both sides by 2!

x = 11

We know x is the amount of refills so,

Daria bought 11 refills of lemonade last month!

Your keys drop from the top of the tower and fall straight to the ground. You want to know how far from the base of the tower the keys landed. Draw a right triangle that will help you solve the problem. Label each triangle with the information you know

Answers

Answer:

46.35m

Step-by-step explanation:

150sin(72)=46.35

Which graph best represents the download speed of a large file?

P.S. I will give brainliest to the best answer!

Answers

Answer:

graph d because it starst out slower and then ends off faster

The graph that correctly represents the given case is B.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

All the graphs are examined one by one as follows,

(A) In the graph A, The slope is negative.

Which implies the the speed will slow down.

(B) In the graph B, The slope is positive.

Which implies the the speed will rise up.

(C) ) In the graph C, The slope is zero.

Which implies the the speed will be constant.

(D)  In the graph D, The slope is positive and it has a y intercept.

Which implies the the speed will rise from a non zero value.

Thus, in order to download a large file the suitable graph is (B).

Hence, the given case can be represented by graph B.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ2

3) WeSell4Less car dealership has 175 cars in their sales lot. On average they sell 20% of their cars in a month. In the next month how many cars would should they sell? please help me solve this

Answers

Answer:

They should sell 35 cars next month.

Step-by-step explanation:

From the information given, you know that the dealership sells 20% of their cars in a month and you should calculate 20% of the amount of cars they have in their sales lot to know the amount of cars that they should sell next month:

175*20%=35

According to this, the answer is that they should sell 35 cars next month.

HELP ILL MARK BRAINLIEST!
After u write the expression explain the reasoning you used please!

Answers

Answer:

194 yards

Step-by-step explanation:

Perimeter of the proposed parking lot

= 52 + 40 + 20 + (40 - x) + 24 + 10 + (52 - 20 - 24) + x

= 112 + (40 - x + x) + 34 + (52 - 44)

= 146 + 40 + 8

= 194 yards

Mariza é costureira e, para determinar o comprimento de elástico, em cm, que utiliza na confecção de determinado modelo de calça, ela recorre à expressão x2+2y . Nessa expressão, x e y são medidas que variam de acordo com o tamanho da calça a ser produzida. Para o tamanho P dessa calça, ela utiliza x=40 cm e y=15 cm

Answers

X = 40, Y = 15
40(2) + 15(2) = 80 + 30 = 110 :)

Pls help this is due at 8am it’s currently 6:36am

Answers

Answer:

207

Step-by-step explanation:

1. False. 0 does not equal to 6. No answers.

2. False. x=0 means the answer is 0.

3. True.

4. False. 2 does not equal -2. No answers.

5. True.

Code: (6*6*6)-(3*3)=207

Answer:

no entiendo. adonde estas la pregunta?

Step-by-step explanation:

What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?

Answers

Answer:

x-intercept: 7; y-intercept: −9.

Step-by-step explanation:

Answer:

x=-7

y=-9

Hope I helped you

imagine going on question cove

Answers

Answer:

Is this a real question...or....

Answer:

They kinda suck

Step-by-step explanation:

Ngl they suspend/ban ppl for no real reason :l and wonder why ppl don't visit they site

15) A car salesman earns $700 per week plus 2.5% commission on his sales. If he
sold two cars for a total of $75,000 last week, how much did he make?

Please help!

Answers

Answer:

$2575

Step-by-step explanation:

For this problem, we need to form an equation that represents the car salesman's weekly income.  We are given that he makes at least $700 per week and that he makes 2.5% commission for his sales.  Let n represent the total amount of sales the car salesman made.  So we can build the equation as follows:

f(n) = 0.025n + 700

Note that if we let n = 0 (He made no sales) then he will make his minimum weekly income of $700.

So let's use our formula to calculate how much he made for the week given he made $75000 in sales.

f(75000) = 0.025(75000) + 700

f(75000) = 1875 + 700

f(75000) = 2575

Hence, the car salesman made $2575 for the week.

Cheers.

The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs that runs from the ground to the rooftop? Round your answer to the nearest meter. Show your work.

Answers

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

In parallelograms, opposite sides are equal in length

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

   whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]

leg1 = 47 and leg2 = 22  

∴ h = [tex]\sqrt{(47)^{2}+(22)^{2}}[/tex]

∴ h = [tex]\sqrt{2209+484}[/tex]

∴ h = [tex]\sqrt{2693}[/tex]

h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

The length of the flight of stairs = 52 m

if (6^2)^x = 1, what is the value of x? explain your answer.

Answers

Answer:

X = 0

Step-by-step explanation:

Math Trainer
Lesson 5.1 - Evaluate
Evd
<<
2131415 516
718
9
Find the new amount given the original amount and the percent of change.
$7; 40% increase
The new amount is $

Answers

Answer:

Its chicken

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

What whole number is closest to the square root of 80

Answers

Answer:

8.94427191

Step-by-step explanation:

8.95 or the closet answer from this

John paints 2 portraits in 8 hours, 3 portraits in 12 hours, and 5 portraits in 20 hours. Which statement correctly describes this situation?

Answers

Answer:

1 portrait is painted every 4 hours

Step-by-step explanation:

Okay so there aren't any statements but I realized that he paints 1 portrait every 4 hours

If this isn't an option comment them and I will try to see if any match up correctly.

What is the solution for -3x ≥ 36? x ≤ -12 x ≥ -12 x ≤ -108 x ≥ -108

Answers

Answer:

its a

Step-by-step explanation:

Answer

im postive its A:)

Step-by-step explanation:

A bag of marbles can be shared equally among 3, 4, 5, 8 or 10 people with none left over. What is the smallest number of marbles that could be in the bag?

Please help this is due at 11:59

Answers

Answer:

120

Step-by-step explanation:

the lcm of those numbers is 120 I believe.


[tex] \frac{3}{4} + \frac{1}{2} [/tex]
please help I forgot how to do this​

Answers

Answer:

5/4

Step-by-step explanation:

You just need to multiply 1/2 by 2 to give you a common denominator:

3/4+2/4

From there you can add the numerators:

5/4

HTH :)

Which property is illustrated by the equation 3 (m n) = (3 m) n?
A. associative property
B. commutative property
C. distributive property
D. identity property

Answers

Answer:

its A   <33

Step-by-step explanation:

I need help ASAAAPPP

Answers

Answer:

y = 1

Step-by-step explanation:

Since the line never crosses the x-axis, the equation just looks like this: y = 1, because 1 is where the line crosses the y-axis.

The ratio of boys to girls in a class is 5:6. How many boys are there if there are 33 students in the class?

Answers

Answer:

15.

explaination:

let x be the number which we have to times to the ratio.

(5+x) + (6+x) =33

5x + 6x =33

11x = 33

x=3

so we need to times 3 the ratio to get the actual number.

boys: 5 × 3 =15

girls:6 × 3 = 18

checking the answer: 15+ 18 = 33

A tree casts a shadow 24 feet long at the same time a man 6 feet tall casts a shadow 4 feet long. Find
the number of feet in the height of the tree.

Answers

Answer:

22ft

Step-by-step explanation:

Well the man is 6ft and you take away 2 to get to 4ft so you will do the same with the tree.

Answer:

so this is what I did 24X4=96

Step-by-step explanation:

have a nice day

wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00 how much did he deposit initially round your answer to the nearest cent ​

Answers

Answer:

He deposited initially $852.82

Step-by-step explanation:

The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

A is the new amountP is the initial amountr is the rate in decimaln is the period of the timet is the time

∵ Wyatt opened a savings account 4 years ago

t = 4

∵ The account earns 4% interest compounded quarterly

r = 4% = 4 ÷ 100 = 0.04

n = 4 ⇒ compounded quarterly

∵ The current balance is $1,000.00

A = 1,000

→ Substitute these values in the rule above to find P

∵ 1,000 = [tex]P(1+\frac{0.04}{4})^{4(4)}[/tex]

∴ 1,000 = [tex]P(1+0.01)^{16}[/tex]

∴ 1,000 = [tex]P(1.01)^{16}[/tex]

→ Divide both sides by  [tex](1.01)^{16}[/tex]

∴ 852.8212622 = P

→ Round it to the nearest cent (2d.p)

P = 852.82

He deposited initially $852.82

89 x 89, whats the answer?

Answers

Answer:

7921 is the correct answer

Answer:

7,291

Step-by-step explanation:

Just multiply. 89 x 89

               

                     

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