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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Answer:
it's 42
Step-by-step explanation:
6 7's
6 12 28 24 30 36 42
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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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
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Answers
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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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.
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
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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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Multiply length of track by number of times run:
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Answer:
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Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
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Answer:
4) a₁₅ = 128
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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]
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Hope this helps!
Ok done. Thank to me :>
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#b
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Answers
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The solution would be C. (2, -4)
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[tex] \: \: \: [/tex]
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Answer:
See belowStep-by-step explanation:
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This equation can be used to determine the pre-sale price of the wedding gown: discounted price / 75%
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To learn more about how to determine the price of an item, please check: brainly.com/question/25717996
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I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)
Step-by-step explanation:
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
Answer 1 question. Thanks