1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
2 years ago
11

Please do 41 and 46. Please show your work and explain how you did it. Thank you!

Mathematics
2 answers:
Virty [35]2 years ago
8 0
\bf 41)\\\\
8x^4-24x^3+18x^2\implies 2x^2(\stackrel{2,2}{4}x^2\stackrel{(2\cdot -3)+(2\cdot -3)}{-12}x+\stackrel{3,3}{9})
\\\\\\
2x^2(2x-3)(2x-3)\\\\
-------------------------------\\\\
46)\\\\
x^2(x-1)-25(x-1)\implies \stackrel{\stackrel{common}{factor}}{(x-1)}(x^2-25)
\\\\\\
(x-1)\stackrel{\textit{difference of squares}}{(x^2-5^2)}\implies (x-1)(x-5)(x+5)
cupoosta [38]2 years ago
3 0
8x^4-24x^3+18x^2=2x^2(4x^2-12x+9)=2x^2(4x^2-6x-6x+9)\\\\=2x^2[2x(2x-3)-3(2x-3)]=2x^2(2x-3)(2x-3)

x^2(x-1)-25(x-1)=(x-1)(x^2-25)\\\\=(x-1)(x^2-5^2)=(x-1)(x-5)(x+5)\\\\Used:\ a^2-b^2=(a-b)(a+b)
You might be interested in
Jack recieved $600 for his birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he
Gwar [14]

so 21 - 13, the money will be invested for 8 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\to &1\\ t=years\to &8 \end{cases} \\\\\\ A=600\left(1+\frac{0.08}{1}\right)^{1\cdot 8}\implies A=600(1.08)^8\implies A\approx 1110.558126

8 0
2 years ago
Hi I need to know the slope(m) before 11:00 I know the y-intercept(b) is -3
Alexxandr [17]

Answer:

slope is 2/3

Step-by-step explanation:

y=mx + b where m is the slope

6 0
2 years ago
The table below represents an exponential function what is the common ratio
Greeley [361]

Solution:

Given:

A table representing an exponential function.

The x-values represent the terms, while the y-values represent the numbers.

The common ratio is gotten from the numbers (y-values).

The formula for common ratio is given by;

\begin{gathered} r=\frac{present\text{ term}}{preceed\text{ ing term}} \\  \\ \text{Hence,} \\ r=\frac{108}{36}=\frac{36}{12}=\frac{12}{4}=\frac{4}{1.33\ldots}=\frac{1.33\ldots.}{0.44\ldots} \\ r=3 \end{gathered}

Therefore, the common ratio is 3.

3 0
1 year ago
hree different stocks were ordered. The purchase prices were 8 ⅜ dollars, 12 ⅛ dollars and 15 ⅜ dollars.how much was paid for al
Murljashka [212]
When you add all of the totals together your total amount will be $35.875
8 0
2 years ago
Read 2 more answers
5.5(x+6 1/2)-(x+9 1/3)-(19-x)
anastassius [24]

The simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12

<h3>What is the simplified form of the expression</h3>

Given the expression;

5.5(x+6 1/2) - (x+9 1/3) - (19-x)

First, we convert 6 1/2, 9 1/3 and 5.5 to an improper fraction

6 1/2 = 13/2, 9 1/3 = 28/3 and 5.5 = 11/2

So, we have

(11/2)( x + 13/2 ) - ( x + 28/3 ) - ( 19 - x )

Next, we remove the parentheses

11x/2 + 143/4 - x - 28/3 - 19 + x

11x/2 + 143/4 - 28/3 - 19

11x/2 + 317/12 - 19

11x/2 + 89/12

Therefore, the simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12.

Learn more about fractions here: brainly.com/question/28039882

#SPJ1

3 0
1 year ago
Other questions:
  • A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
    15·2 answers
  • A farmer intends to plant pine trees 12 feet apart to form a windscreen for her crops. How many trees should she buy if the leng
    9·2 answers
  • Jean's bedroom is 10 feet by 10 feet. She has chosen a carpet which costs $28.05 per square yard. This includes installation.
    5·2 answers
  • PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
    9·1 answer
  • If one letter is chosen at random from the word refuse what is the probability that the letter chosen will be an e
    14·1 answer
  • Factorise<br> x^2 – 8x - 48
    12·2 answers
  • An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?
    8·1 answer
  • Please help with work, thank you in advanced!
    10·1 answer
  • The diameter of the small wheel was 7 inches. The circumference was about 22 inches. Write the ratio of the circumference to the
    13·1 answer
  • As used in line 14, "simple" most nearly means
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!