Answers
Answer:
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend: [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend: [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder: [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]Please excuse the bad handwriting.
Related Questions
How to solve quadratic inequalities.
Answers
Answer:
Find the "=0" points
in between the "=0" points, are intervals that are either
greater than zero (>0), or
less than zero (<0)
then pick a test value to find out which it is (>0 or <0)
How do I solve this?
Answers
Answer:
Step-by-step explanation:
35 is 25% of what percent
Answers
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?.
Answers
The number of days it would take 15 people to complete the task is 9.1 days.
The formula used to represent inverse proportion is:
y = [tex]\frac{k}{x}[/tex]
y = dependent variable x = independent variable k = constant of proportionalityThe information given in the question can be represented with:
2 = k/10
k = 20
The number of weeks it would take 15 people to complete the same task:
20 / 15 = 1.3 weeks = 9.1 days
A similar question was answered here: https://brainly.com/question/19427172
What is the value of x ?
Answers
Answer:
12
Step-by-step explanation:
short way 6✓2 . ✓2 it is the 45 degree formula
Answer:
12
Step-by-step explanation:
The figure is an equilateral righ triangle - or if you prefer, it's half a square.
As a triangle: x is the ipotenuse, pythagorean theorem
[tex]x^2 = (6\sqrt2)^2 + (6\sqrt2)^2\\x^2 = 72+72 = 144 \rightarrow x = 12[/tex]
As half a square: diagonal is [tex]\sqrt2[/tex] times the side
x= [tex](\sqrt2) (6\sqrt2) = 2\times6 = 12[/tex]
There are six cookies and four friends want to share them how much will it be
Answers
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
A listing of observed values and the corresponding frequency of occurrence of each value is called a
Answers
Answer: frequency
Step-by-step explanation:
#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)
Answers
Answer:
First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x
Answers
The solution to the given expression is -15/4
Equations are expressions separated by an equal sign.
Given the expression 17 = -13 -8x
Add 13 to both sides
17 + 13 = -13 - 8x + 13
30 = -8x
Swap sides
-8x = 30
Divide both sides by -8
-8x/-8 = -30/8
x = -30/8
x = -15/4
Hence the solution to the given expression is -15/4
Learn more here: https://brainly.com/question/2159099
What is the suface area of a rectangular prism that measures 2cm × 5cm × 8cm?
Answers
Answer: 132 hope that helps
Step-by-step explanation
Fastest way to do it A=2(wl+hl+hw)=2·(5·2+8·2+8·5)=132
Answer:
132 [tex]cm^{2}[/tex]
Step-by-step explanation:
A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.
Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.
First: let this side be SIDE A: 5 x 8 = 40 [tex]cm^{2}[/tex]
Second, let this side be SIDE B: 8 x 2 = 16 [tex]cm^{2}[/tex]
And thirdly, let this side be SIDE C: 2 x 5 = 10 [tex]cm^{2}[/tex]
These are the areas of 3 of the the sides of the prism. The other 3 are identical.
Now to find the Total SA, we add all of them together,
SA = 2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).
= (2 x 40) + (2 x 16) + (2 x 10)
= 80 + 32 + 20
SA = 132 [tex]cm^{2}[/tex]
A fabric store is having a sale. Fleece fabric has an original price of $18 per yard. It is on sale for 30% off the original price. Find the sale price of the fleece fabric.
I seriously needed answers since I'm running out of time
Answers
Answer:the answer is 5.4
Step-by-step explanation:
thats the answer because it says per means to multiply so i'd multipled 18x 30%
Find the slope of the line given the following point on the line:
(-1,-9) and (-5,1) with
Answers
Answer:
The slope with these points can only by (-2.5) or (-8/3)
Step-by-step explanation:
Help me plsssssssssssssssssss
Answers
Answer:
2 meters = 2000 millimeters
Which capital letters have one or more lines of symmetry?
A) X
B) Z
C) H
D) C
Answers
Answer:
h has 4 lines x has 2 z has 3 c has none
Step-by-step explanation:
I need help please brainliest to correct answer
NO BOTSSSS PLEASEEEE
Also if you want fr33 p0!ints go answer my last question
Why are various creative works split up into different types under copyright law?
Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Why is it useful for students to practice the MLA and APA citation methods?
What kinds of art works can be considered remixes or mashups? Explain your answer.
Answers
Answer:
1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.
2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.
Step-by-step explanation:
Answer:
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Every license helps creators, they are called licensors if they use our tools retain copyright while allowing others to copy, distribute, and make some uses of their work at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.
Where is f(x)=g(x)? Justify your answer algebraically.
Answers
54x^2+208x-308+2x+8=0
54x^2+210x-300=0
9x^2+35x-50=0 (divided both sides by 6)
9x^2+45x-10x-50=0 (wrote the 35x as a difference)
9x(x+5)-10(x+5)=0
(9x-10)(x+5)=0
Now solve the equations:
9x-10=0
x=10/9
x+5=0
x=-5
Therefore, x has two solutions, 10/9 and -5!!
If 3x + 6 = 21, what does x + 2x plus 2 equal?
Answers
Answer:
x+2x+2=17
Step-by-step explanation:
I'm assuming that's what you're asking, so here is the answer explanation.
3x+6=21
3x=15
Hence, x=5
Apply x=5 to x+2x=2
5+10+2
=17
heres the table and graph
Answers
Answer: distance 1min = 10in
In 1 minute the snail travels 10 inches
In 2 minute the snail travels 20 inches
In 3 minute the snail travels 30 inches
In 4 minute the snail travels 40 inches
In 5 minute the snail travels 50 inches
y=10x
i need help! ill give brainliest
Answers
Answer:
They are both correct
Step-by-step explanation:
Both options mean the same thing and will give the same answer
What is 2 3/4 + 1 4/5 as a mixed number
Answers
A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100
Answers
Answer:
2 students study neither french or Spanish
Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.
Answers
Answer:
4 and 5
Step-by-step explanation:
Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2
Consider the two triangles.
В.
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
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Answers
Answer:
By Both
Step-by-step explanation:
You have all 3 corresponding sides are proportional so you have SSS. That is
24/8=15/5=18/6
You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.
To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.
Such that 24/8=15/5=18/6
We also have SAS because 15/5=18/6 and you have the angle between the sides.
Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
3. Write three ratios equal to 4/36
Answers
[tex]{\Huge{\boxed{\mathbb{QUESTION}}}[/tex]
Write three ratios equal to [tex]\frac{4}{36}[/tex]
[tex]{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}[/tex]
This ratio can be represented as [tex]4:36[/tex]
_______________________________
[tex]{\Huge{\boxed{\mathbb{THE\:RATIOS}}}[/tex]
_______________________________
[tex]1:9[/tex] [tex]2:18[/tex] [tex]3:27[/tex]_______________________________
[tex]{\huge{\boxed{\mathbb{TERMS}}}[/tex]
Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.
if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?
Answers
Answer:
135
Step-by-step explanation:
sum of interior angles of a triangle is 180
so
180-35-10
135
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answers
Answer:
no graph how am i supposed to answer
Step-by-step explanation:
DUDE PUT THE GRAPH WHERE IS iT
Someone please help with this math
Answers
What is the value of x?
Enter your answer in the box. x = °
Answers
Answer:
x=80
Step-by-step explanation:
my god this should be easy and I thought I was a bit slow
please help me with this math question
Answers
Answer:
Step-by-step explanation:
Add 633 to the reading before the trip.
New reading in the odometer = 14,917 + 633 = 15,550 miles
Somebody, can you you help me with these 2 questions?
Answers
left question is 19 right question is 8