Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.

Answers

Answer 1

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:


Related Questions


En la siguiente figura, determinar el valor de x.
2x
х 3x

Answers

Step-by-step explanation:

we know,

sum of all angles on a straight line is 180°.

so according to it,

x + 2x + 3x = 180

6x = 180

x = 180/6 = 30

x = 30°

therefore, value of x is 30°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

See below, please.

Step-by-step explanation:

x+2x+3x=180

So, 6x=180

x=30

A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?

Answers

Step-by-step explanation:

10+6 = 16

since 112/16 = 7

add 7*10 white and 7*6 striped

 

Answer:

Alright, solve 10 + 6 = 16

Place a proportion of 10 / 16 and 6 / 16

Multiply 10 and 112, and 6 and 112, and divide both by 16

This will get you 70 / 42

70 / 42 = 10 / 6

70 * 6 = 420, 42 * 10 = 420

420 = 420

70 white golf balls, and 42 striped.

Step-by-step explanation:

Im sorry for lagging man :( i hope that helps

There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .

Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.

What is the ratio of r to g? Your ratio must be in its simplest form.

Answers

The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]

The first sentence about what happens to the bag of marbles;

"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"

Leads to the fractional equation

[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]

After rearranging, we get equation (1) [tex]3r-2g=5[/tex]

The next sentence about what happens to the bag of marbles;

"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"

Leads to the fractional equation

[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]

Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]

So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]

[tex]3r-2g=5\\4r-3g=-5[/tex]

Which gives [tex]r=25[/tex] and [tex]g=35[/tex]

Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]

Another example of ratio word problems can be found in the link below:

https://brainly.com/question/11343888

Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?

Answers

Answer:

the answer is 20

Step-by-step explanation:

got it yw man<333333

Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.

Answers

Answer:

Step-by-step explanation:

solve pls brainliest

Answers

Answer:0.16 bar ontop of 6

Step-by-step explanation:

Answer:

0.166

Step-by-step explanation:

I did this about 2 years ago

7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---

Answers

Answer:

a. n=6

b. n = 4

c. n =2

d. n = 11 ÷ 5

e. n = 10

f. 20

Step-by-step explanation:

a. 5n = 30

n=30÷5

n=6

b. 3n-1 = 11

3n= 11 + 1

n = 12 ÷3

n=4

c. 4n + 7 = 15

4n = 15 - 7

n = 8 ÷ 4

n = 2

d. 5n = 11

n = 11 ÷ 5

e. 4 + n = 40

n = 40 - 4

n = 10

f. 5 + 15 = 20

At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?

Answers

Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

What multiplication tables should every student memorize.

Answers

Answer:

1-15

Step-by-step explanation:

You should at least teach students 1-15 or 1-20

A line passes through the points (1, 4) and (3 -4). Which is the equation of the line?

Answers

Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

Question 2 1 pts Which statement best describes 1-14 1? Remember, absolute value is a number's distance from O, so the number will always be positive :) O The distance from -14 to 0 on a number line. The answer is 14. O The distance from 14 to O on a number line. The answer is -14. O The distance from -14 to 14 on a number line. The answer is 28. O The distance from 0 to 14 on a number line. The answer is -14. Question 3 1 pts​

Answers

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?

Answers

Answer:

88 markers long just take 22 and divide it by .25

How to find area of a circle.

Answers

Answer:

A rea of a Circle = π × r²

Step-by-step explanation:

The area of a circle formula is A = π × r² where r is the radius.

Remember that the radius might not be given but the radius is half of the diameter.

For π use the calculator value or use 3.14.

Find the slope of the line that passes through (7,1) and (6,8)

Answers

Answer:

-7

y=-7x+50

Step-by-step explanation:

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon for the blue car?

Help pls
Brainlist

Answers

Answer:

30.8 miles per gallon

Explanation:

1.25 = 38.5

Divide both sides by 1.25

1 = 30.8

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.

Answers

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

Which is the correct equation to find the missing side?

Answers

Answer:

( AB )² + 12 = 162

Step-by-step explanation:

By Pythagoras theorem,

( AB )² + ( BC )² = ( AC )²

( AB )² + ( 2√3 )² = ( 9√2 )²

( AB )² + 12 = 162

Step-by-step explanation:

it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,

h² = a² + b²

here in the given figure we have to find base or b²

(AC)² = (CB)² + (AB)²

we know,

AC = 9√2

CB = 2√3

now,

162 = 12 + AB

THEREFORE, OPTION B is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Convert 6 fluid ounces into cups.

Answers

Answer:

0.75 cups

Step-by-step explanation:

.75 cups is the answer

HELP PLSSSSSSSS Solve 236 x 48 = ________. (1 point)
A. 11,328
B. 11,628
C. 12,328
D. 12,628

Answers

Answer:

[tex]236 \times 48 \\ \\ = 11328[/tex]

it's answe

236×48

= 11 , 328

Help. What is 90% decreased by 10% :/

Is it 81?

Answers

You're correct the answer is 81%.


New value =

90 - Percentage decrease =

90 - (10% × 90) =

90 - 10% × 90 =

(1 - 10%) × 90 =

(100% - 10%) × 90 =

90% × 90 =

90 ÷ 100 × 90 =

90 × 90 ÷ 100 =

8,100 ÷ 100 =

81

Hope this helps :)

Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and aleah scored one tenth's of the team's points. Together the scored a total of 42 points. How many points did the team score?

Answers

Together they scored 3/10 of the teams total points (since 1/5 = 2/10). Knowing this you can find what 1/10 of the total points scored was by dividing 42 by 3. That gives you 14, now that you know what 1/10 of the points scored was you can find the total points by completing the fraction and multiplying 14 by 10. This gives a total of 140 points scored by the team

12y=360 solve for y

Answers

Answer:

30

Step-by-step explanation:

divide both sides by 12 to find y

12y / 12 = y

360 / 12 = 30

therefore y = 30

kira's penny bank is 1/6 full. after she adds 200 pennies, it is 1/2 full. how many pennies can kiras bank hold?​

Answers

Let it be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]

[tex]\\ \sf\longmapsto 2x=1200[/tex]

[tex]\\ \sf\longmapsto x=600[/tex]

Modeling with Systems how do you do this?

Answers

Answer:

The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.

Step-by-step explanation:

A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.

Solve the equation 6 - 6x = 5x - 9x -2

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:
x=4
Explanation:
6+2=5x-9x+6x
8=2x

PLS HURRY WILL MARK BRAINLIEST

-x+7=11-2x

Answers

Answer:

x = 4

Step-by-step explanation:

First we will subtract 7 from 11 to get

-x = 4 - 2x, next we will add 2x to -x to get

x = 4.

(It's just a matter of combining like terms.)

Hope this helps :)

Round 18.527 to the nearest tenth.

Answers

Answer:18.53

Step-by-step explanation:

7 rounding up will end up to three

Answer:

18.5

Step-by-step explanation:

Any help would be appreciated ​

Answers

Answer:

10

Step-by-step explanation:

Bisect the 72° angle to get an exterior angle of 36°.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

360°/36° = 10

Answer: There are 10 sides.

what is the midpoint of PQ

Answers

Answer is (5,7)

Step-by-step explanation:

In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.

Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.

Any doubts, please refer the attached image.

So, you will get the answer as (5,7) .

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
4

Answers

Answer:

4√2

Step-by-step explanation:

as it is an isosceles 2 sides will have the same side length so 4 and 4, therefore you can use pythagoras theorem to solve for x.

do 4²+4²=32 then square root this √32 which is equal to 4√2

The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

And, The two sides of the isosceles triangle will be the same.

Both perpendicular sides' length = 4

By Pythagoras theorem,

x = √(4² + 4²)

x = √32 = 4√2

Hence "The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2".

For more information about triangles,

https://brainly.com/question/2773823

#SPJ2

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