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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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
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=37
TA:
x-9
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CA:
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=37+20
=57
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Answer:
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Step-by-step explanation:
12÷4=3+13=16
2+22=24÷2=12
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Step-by-step explanation:
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Note that hypotenuse = longest side
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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.
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Answer:
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Step-by-step explanation:
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m = 3/4
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Answer:
I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)
Step-by-step explanation:
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
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Answer: 3.2 kilometers
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Answer:
Step-by-step explanation:
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I need help, the solid below is made from cubes find it volume
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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.
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Answer:
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Step-by-step explanation:
20.5 * 1.5 = 30.75
A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?
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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%
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If 1=3
2=3
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[tex] \: \: \: [/tex]
Answers
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 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
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it is then
-21 < 10x
-2.1 < x
and
10x < 6x + 8
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therefore, B is the right answer.
-2, -1, 0, 1
-3 would be too small, and 2 is blocked by the right "<" sign.
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.
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Answers
Answer:
See belowStep-by-step explanation:
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Length
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Each small cube has volume:
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The volume in terms of unit cube:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
1. Find common denominator
2. Combine fractions with common denominator
3. Re-order terms so constants are on the left
find the equation to this line.
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Hope this helps!
Ok done. Thank to me :>
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Explanation:
5+3=8
And the other way around
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].
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https://brainly.com/question/5431264
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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)
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2. (-3, 2)
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unknown:
Known:.
Answers
Answer:
Step-by-step explanation:
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:
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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]
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.
Pls help brainiest to the correct answer!
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]