I need help long dividing this equation.
(x^2 - x +5) / (x + 1)
I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x
I’m having trouble understanding how you get 5x from that? Someone please help!
Answers
First, we'll look at the first term of each expression.
---x times what is equal to x^3? = x times x^2 = x^3
So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.
x^2(x + 1) = x^3 + x^2
(x^3 + 4x + 5) - (x^3 + x^2)
x^3 - x^3 = 0
0 - x^2 = -x^2
4x - 0 = 4x
5 - 0 = 5
Our new expression is -x^2 + 4x + 5.
So we again ask ourselves, x times what is equal to -x^2? = -x
-x(x + 1) = -x^2 - x
And subtract!
(-x^2 + 4x + 5) - (-x^2 - x)
-x^2 - - x^2 = -x^2 + x^2 = 0
4x - - x = 4x + x = 5x
5 - 0 = 5
Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.
Multiply, then subtract!
5(x + 1) = 5x + 1
(5x + 1) - (5x + 1) = 0
Now that we have nothing left to divide, let's go back and get our answer.
x^2 - x + 5
Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.
Hope this helps and if you have any further questions, please let me know! :)
Answer:
Step-by-step explanation:
x - 2 <--- quotient
x + 1) x^2 - x + 5 First divide x^2 by x giving x then multiply x + 1 by x:
x^2 + x Now subtract x^2 + x from x^2 - x and bring down +5:
-2x + 5 Now divide -2x by x to get -2 and multiply X+1 by -2 -2x - 2 Subtract:
7
The result is x - 2 (see above) remainder 7
or you could write it as
x - 2 + 7/(x + 1)
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I forgot this within 2 seconds ;-;
Answers
Answer:
12÷4+13>2+22÷2
Step-by-step explanation:
12÷4=3+13=16
2+22=24÷2=12
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Answers
Answer:
a) 9, b) 87, c) - 2, d) - 9Step-by-step explanation:
a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90#a
[tex]\\ \sf{:}\dashrightarrow -2(-4.5)=9.0[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (-7)(-2)=14[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow (-9)(-10)=90[/tex]
the points (2,4) and (6,7) lie on a line. what is the slope of the line?
Answers
m = 3/4
Sorry if it’s not right
Please help me (It's for a really important grade)
Answers
Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
what is the square root of negative 1 divided by 8
Answers
Answer:
if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]
and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts
As per the given information
i.e.,
[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
To know more about the fraction
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help QUICK PLS 12 POINTS JUST PLS
Answers
Answer:
The answer is 8.025.
Hope that helps. x
Yup, the guy above me is correct.
A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?
ASAP NOW!
Answers
The pre-sale price of the wedding gown is £224.
A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost pay 75%(100 - 25%) of the pre-sale price.
This equation can be used to determine the pre-sale price of the wedding gown: discounted price / 75%
£168 / 0.75 = $224
To learn more about how to determine the price of an item, please check: brainly.com/question/25717996
find the equation to this line.
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Hope this helps!
Ok done. Thank to me :>
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If 1=3
2=3
3=5
4=4
4=4
Then, 6=?
[tex] \: \: \: [/tex]
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Answer:
6 = 3 If u write 1 in word then u will write one and if you count the letter it will give u 3 .Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .Hence ,6 = 3Which of the following is a government retirement program that offers a tax incentive?
A. Roth IRA
B. Opt- out program
C. A 529 plan
D. Contribution matching
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4/3=8/x-1
Solve the equations
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Answer:
= 24/7
Step-by-step explanation:
1. Find common denominator
2. Combine fractions with common denominator
3. Re-order terms so constants are on the left
I need help with this question
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Answer:
30.75 hours.
hope it helps, so may i have my brainliest?
Step-by-step explanation:
20.5 * 1.5 = 30.75
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answers
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³3. What percent of 150 is 15?
unknown:
Known:.
Answers
Answer:
Step-by-step explanation:
Can someone help? This is hard
Answers
CT=90°
BTA=90°
x=29
CT=37
TA=20
CA=57
Step-by-step explanation:
they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:
BTC =90°
BTA=90°
Therefore:
(3x+3)°=90°
3x=90-3
3x=87°
x=29
CT:
x+8
=29+8
=37
TA:
x-9
=29-9
=20
CA:
=CT+TA
=37+20
=57
Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)
Answers
Answer:
The solution would be C. (2, -4)
Step-by-step explanation: Equation: 2y = -3x - 2
1. (2, -3)
2(-3) = -3(2) - 2
-6 = -6 - 2
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2. (-3, 2)
2(2) = -3(-3) - 2
4 = 9 - 2
4 = 7 (Not a solution)
3. (2, -4)
2(-4) = -3(2) - 2
-8 = -6 - 2
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4. (-4, 2)
2(2) = -4(-4) - 2
4 = 12 - 2
4 = 10 (Not a solution)
need help dont want to fail
Answers
Answer:
I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)
Step-by-step explanation:
what is 2X ( 3)+( 1)+( 2)+=
Answers
Step-by-step explanation:
work out the brackets first
Answer 1 question. Thanks
Answers
Find the value of the unknown value in the following equation
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PLZ HELP
Answers
Answer:
x = 5
Step-by-step explanation:
If I understood correctly, you are looking for x. you bring over the 9, which you subtract and are left with 14x=70. Then divide both sides by 14 and you get x=5. Also I'd recommend getting the Symbolab app.
If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?
Answers
Answer:
142.8
Step-by-step explanation:
You can go 20.4 miles per gallon of gas.
You can go 142.8 miles for 7 gallons.
I need help, the solid below is made from cubes find it volume
Answers
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]
Answer:
40cm
Step-by-step explanation:
Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.
6x7 is what i dont know what it is
Answers
Answer:
it's 42
Step-by-step explanation:
6 7's
6 12 28 24 30 36 42
HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
4) a₁₅ = 128
5) B. [tex]a_n=a_{n-1}+6[/tex]
Step-by-step explanation:
4)
This is an arithmetic sequence, where all terms have a common difference:
[tex]a_n=a_1+(n-1)d[/tex]
Here, the common difference is 9.
[tex]11-2=9\\20-11=9[/tex]
Use that to write the equation and solve for a₁₅:
[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]
5)
This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:
[tex]a_n=a_{n-1}+d[/tex]
This simply states that each term is d more than the term before it.
Here, the common difference is 6:
[tex]2--4=6\\8-2=6\\14-8=6[/tex]
And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]
An admission ticket costs $7.50 with a 5.75% tax.
Answers
Answer:
Step-by-step explanation:
5 more than 3
meaning what number ?
Answers
Answer:
8
Step-by-step explanation:
5+3=8
3 plus 5 more makes 8
Explanation:
5+3=8
And the other way around
Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.
Answers
137 - 16X = Y
Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:
137 - 16X = Y
Thus, for example, after 5 minutes the calculation would be as follows:
137 - 16 x 5 = Y 137 - 80 = Y 57 = Y
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which one? A, B, C or D?
Answers
Step-by-step explanation:
you can't find that out ?
either simplify the expressions and then insert the values for x, or simply insert the values for x and see.
6 - 5x < 27 + 5x < x + 35
6 < 27 + 10x < 6x + 35
-21 < 10x < 6x + 8
it is then
-21 < 10x
-2.1 < x
and
10x < 6x + 8
4x < 8
x < 2
-2.1 < x < 2
therefore, B is the right answer.
-2, -1, 0, 1
-3 would be too small, and 2 is blocked by the right "<" sign.
A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.
Answers
Multiply length of track by number of times run:
8 x 400 = 3,200 meters
1 km = 1000 meters
3200 meters / 1000 = 3.2 kilometers
Answer: 3.2 kilometers