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

PLEASE HELP! NEED IT NOW!
Calculate the circumference and area of a circle with the given measure. Use 3.14 for p.
a. radius = 3 cm
b. diameter = 4 ft

Answers

Answer:

ok

Step-by-step explanation: 3cm i believe

help lol

The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.

Answers

The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.

What is FOIL method?

FOIL is the standard method of multiplying two binomials.

The word FOIL is an acronym for the four terms of the product:

First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)

We try to explain this using an example.

[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]

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2x+3y=5x-y solutions

Answers

Question:

[tex]2 \times + 3y = 5x - y[/tex]

Solution:

[tex]2 \times + 3y = 5x - y

[/tex] Move the variables to the left

[tex]2 \times + 3y - 5 \times + y = 0[/tex]

Collect like terms

[tex] - 3 \times + 4y = 0[/tex]

Change the signs

Answer:

[tex]3 \times - 4y = 0[/tex]

What is the slope for M(4,-8 negative) N(6,-1 negative)

Answers

Answer:

m=7/2

Step-by-step explanation:

find the equation with a diameter that has endpoints located at (2,8) and (2,-4)

Answers

Answer:

32.4/-4.6 nearest circumfrence :)

Step-by-step explanation:

hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !

Esitmate 242 PLEASEEEEEEEEE I NEED THIS

Answers

Estimating the value of 242+32
Round up the number 242 to 240.
240+32
Round up the number 32 to 30.
240+30
Add 30 to 240.
270
242+32≈270
The Estimated Value of 242+32 is 270.

Find the perimeter. Simplify your answer.
Please help me!

Answers

W-6 + w-6 + 1 +1

2w - 12 + 2

2w - 10 units. Hope this helped

look at screenshot answer question and i will mark you brainliest

Answers

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?

Answers

Answer:

The milk is priced at $1.74/gallon

Step-by-step explanation:

If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.

                                                        $8.70

Then the unit price for the milk is ---------- = $1.74 per gallon

                                                         5 gal

Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?

Answers

Answer:

312

Step-by-step explanation:

499-187

Answer: Tim needs to save $312 more.

Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>


A car driver takes a trip from his house across the country. After two days he has traveled 80
miles. Fill out the table below to show the relationship between days, x, and miles traveled, y.
Miles, y
Days, x
1
2
3
6
8

Answers

40, 80, 120, 240, 320

Anwser:
80y per 2x
explanation:
It was right for me

What is the measure of _____?​

Answers

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?

Answers

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.

Solve the equation 5.3g + 9 = 2.3g+ 15
a. Find the value of g

Answers

Answer:

g=2

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

g=6÷3

=2

Answer:

g = 2

Step-by-step explanation:

5.3g + 9 = 2.3g + 15

Subtract 2.3g from both sides

3g + 9 = 15

Subtract 9 from both sides

3g = 6

Divide both sides by 3

g = 2

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а​

Answers

Answer:

A≈ 268.76 sq cm.

Step-by-step explanation:

sine 27 = opposite side/hypotenuse

sine 27 = x/40

sin 27(40) = x

18.15961999 =x

18.16 = x

A = 1/2(29.6)(18.1596199)

A = 268.7623759

A≈ 268.76 sq cm.

will give brainliest

Answers

Answer:

Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2

Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7

Step-by-step explanation:

Hope this helps :)

30 x 50 x 60 - 100 +150

Answers

90000-100+150
90000+50
90050

Find the perimeter. Simplify the answer

Answers

Answer:

10s-14

Step-by-step explanation:

Perimeter of rectangle = 2s+2(4s-7)

                                      = 2s+8s-14

                                      = 10s-14

= > Perimeter of rectangle = 2(l + b)

= > 2(s + 4s - 7)

= > 2(5s - 7)

= > 10s - 14...ans

Step-by-step explanation:

Hope it Helps you!!

linear equations

1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2​

Answers

1. x = 2
2. x = 9
3. a = 3
4. x = 13
5. c = 3
6. s = 3
7. x = 7
8. c = 0
9. b = 1
10. c = 4
11. x = 4
12. x = 8
13. x = 12
14. y = 10
15. x = 11
16. x = 10
17. x = 6
18. x = 11

A size 8 kids shoe measures 9 2/3 inches. if 5 size 8 shoes are lined end to end, then bow many inches will they cover?

Answers

Answer:

48 1/3 inches

Step-by-step explanation:

Each size 8 shoe measures 9 2/3 inches. If we line 5 of them together, the length of the entire thing will be 5 times the size of each shoe, 9 2/3 in. To write 5 as a fraction, put it over a denominator of 1. Then rewrite 9 2/3 as an improper fraction. Now you can multiply across and simplify as needed.

Answer:

the person below is correct

Step-by-step explanation:

hope this helps have a good rest of ur night :)❤

Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300

Answers

Answer:

I think C or D not sure about the question answer

He was earning 3562 each hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kyle Lowry earned $31.2 million.

So, In each month he read

= 31200000 / 12

= $2,600,000

and, in each day she earn

= 2, 600, 000 / 30

=86,666.666

and, in each hour she earn

= 2, 600, 000 / 24

= 3611

Hence, He was earning 3562 each hour.

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HELP PLEASE!!!! FASTT

Answers

Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph



7. the independent and dependent variables


8. the domain and range


9. Interpret the slope and y-intercept values


10. How much will the membership cost for a whole year?

Answers

6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Two thousand four hundred sixty-three tickets were sold for a 2-day basketball
tournament. For the first day of the tournament, 1,087 tickets were sold. How many
tickets were sold on the second day of the tournament?

Answers

Answer:

Step-by-step explanation:

1376!

Answer:

yeah it's 1367

Step-by-step explanation:

I did the math!!!!

Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?

Answers

Answer:

9

Step-by-step explanation:

45*2/10=45*1/5=9

Answer:

9

Step-by-step explanation:

At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

each person ate 1/3 of a sandwich

Step-by-step explanation:

Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm

Answers

Answer: The radius increases by 0.032 cm/minute.

Step-by-step explanation:

The volume, V, of a sphere is V = (4/3)πr^3.

For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10

V = (4/3)πr^3

V = (4/3)π5^3

V = 524 cc

We add 10 cc to have the balloon hold 544 cc.  We calculate the increase in radius:

534=(4/3)*pi*x^3

We can now calculate the new radius, x.

x = 5.032 cm

The radius increased by 0.032 cm/minute.

Which of the following triangles could lie on the graph with the same rise over run in Question # 3?
A. A triangle with a rise of 10 and a run of 30
B. A triangle with a rise of 30 and a run of 10
C. A triangle with a rise of 10 and a run of 40
D. A triangle with a rise of 2 and a run of 5

Answers

Answer:

B.

Step-by-step explanation:

B: A triangle with a rise of 30 and a run of 10

In a standard deck of 52 playing cards, 13 cards are clubs, and 3 of the clubs are "face" cards (K, Q, J). What is the probability of drawing one card that is:


A) A club or a face card? Is this event a union or an intersection?


B) A club and a face card? Is this event a union or an intersection?


C) Not a club and not a face card?

Answers

A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".

For the probability in question, we use the inclusion/exclusion principle:

P(club or face) = P(club) + P(face) - P(club and face)

That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.

Then we have

P(club) = 13/52

P(face) = 12/52

P(club and face) = 3/52

so that

P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26

B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.

We already found the probability of the intersection above:

P(club and face) = 3/52

C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,

P(not club and not face) = P(not(club or face))

and this probability is complementary to the probability that a card is either a club or face, which is to say

P(not(club or face)) = 1 - P(club or face)

Using the result from part (A), we have

P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26

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