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!
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)
what two decimal
are between the square root of 62
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answer:
60 degrees
Step-by-step explanation:
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
The answer is 0.68 and 2/3
Hoped that helped
Hellooo, is this simple graphing or do I have to like solve something
Answer:
Just graph the points
Step-by-step explanation:
no need to solve anything
NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.
x = -2
3x + y = 8
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
whats the answer pls
Answer:
y=0.75x-1
Step-by-step explanation:
A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?
O 20
O 5
02
O 16
The sample standard deviation is 2. Therefore, the correct answer is option C.
Given that, a sample of n=5 scores has M=20 and s²=4.
The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.
The standard deviation is simply the square root of the variance;
Here, [tex]s=\sqrt{4}[/tex]
[tex]s=2[/tex]
Therefore, the correct answer is option C.
Learn more about the standard deviation visit:
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At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to
find the measures of the angles described.
The measure of an angle increased by 24° is equal to the measure of its complement.
The measure of the angle is
Jº and the measure of its complement is
Answer:
33°90° -J°Step-by-step explanation:
1)If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
2)Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.
Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft
Find the surface area of the rectangular prism. 7 m 4 m 5m
Answer:
A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166
Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166
Step-by-step explanation:
I am asking how this is when I found the median is 14!
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
Graph the solution to the inequality on the number line.
p<20.2
help
Answer:
it is an open circle on 20.2 and is going to the left
Step-by-step explanation:
I hope this helps :)
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
I will give up to 40 points if you help answer 5 questions
Answer:
SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse you can prove triangles ADO and BOC are similar. Then using CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment COStep-by-step explanation:
if my answer helps plz give me brainliest :)
Answer:
I hope this helps. I'm sorry in advance if it isn't.
Step-by-step explanation:
1) SSS
2) The first bullet point
3) SAS
4) They are congruent by SAS, ASA
5) Segment AO is congruent to segment CO because:
The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO
All of these statements are true EXCEPT which one?
A.
Answer:
Optio a is rhe right one
i m not sure
Answer:
where's the choices
Step-by-step explanation:
complete your question
Plz Help!! 15 POINTS!
MY MATH EXAM IS TOMORROW AND I NEED HELP!
Jules has a watch pedometer which counts how many steps (S) he walks in a day. He has measured his step length as 0.7m.
Draw a conversion graph of the distance walked (L) against S to convert up to 10000 steps into metres.
Answer:
see attached
Step-by-step explanation:
Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.
4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking
helpp
Answer:
if you find the age of bob the rest is easy
Step-by-step explanation:
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model? x2 â€"" 6x 9 x2 â€"" 2x 4 x2 5x 10 x2 4x 16.
A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.
Given :
A perfect square trinomial can be represented by a square model with equivalent length and width.
The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:
Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.
Step 2 - Try to factorize the above equation.
[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]
[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]
[tex]x^2-6x+9 = (x-3)^2[/tex]
Step 3 - The equation in option a) represents the perfect square trinomial.
From, the above steps, it can be concluded that the correct option is a).
For more information, refer to the link given below:
https://brainly.com/question/2263981
As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
what is the slope of the line
find the perimeter of a regular pentagon with each side measuring 6cm.
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.
WILL GIVE BRAINLY TO FIRST ANSWER
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
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100 POINTS PEOPLE!!!!!
Answer: Poggers, what if i did 2000 points???
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Urgent!
<6 and what angle are corresponding angles?
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).