answer.
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
butalik [34]
1 year ago
10

What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction S

tartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Mathematics
1 answer:
Nana76 [90]1 year ago
4 0

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

You might be interested in
Compare the process of solving |x – 1| + 1 < 15 to that of solving |x – 1| + 1 > 15.
kicyunya [14]
In the first case we'd subtract 1 from both sides, obtaining |x-1|<14.

In the second case we'd also subtract 1 from both sides, and would obtain
 |x-1|>14.

What would the graphs look like?

In the first case, the graph would be on the x-axis with "center" at x=1.  From this center count 14 units to the right, and then place a circle around that location (which would be at x=15).  Next, count 14 units to the left of this center, and place a circle around that location (which would be -13).  Draw a line segment connecting the two circles.  Notice that all of the solutions are between -13 and +15, not including these endpoints.

In the second case, x has to be greater than 15 or less than -13.  Draw an arrow from x=1 to the left, and then draw a separate arrow from 15 to the right.  None of the values in between are solutions.

4 0
2 years ago
Read 2 more answers
PART A: Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance for each day if th
natita [175]

Answer:

i dont know about the other parts but part A is 19

Step-by-step explanation:

6 0
1 year ago
mike and mandy bought the same item mike aid 15,000 mandy got a discount and paid 3,00 less how much of a discount did she get??
Arada [10]
She got a 20% discount (or 80% discount). (Work shown for 80%).
First you have to find out how much Mandy paid. So from 15000 you will subtract 3000. 15000-3000=12000.
Next you need to set up your equation. \frac{1200}{15000}= \frac{x}{100}. You then have to cross multiply. So 100 times 12000, 100*12000=1200000. And 15000 times x is 15000x. Finally you divide both sides by 15000. And 1200000 divided by 15000 is 80. X=80
5 0
1 year ago
Read 2 more answers
The box-and-whisker plot below shows the age distribution of people at a family reunion. A box-and-whisker plot is shown. The nu
Setler79 [48]

Answer:

The answer is C

Step-by-step explanation:

got it right on edge

5 0
2 years ago
Read 2 more answers
The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is
marusya05 [52]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}

4 0
2 years ago
Other questions:
  • What is the missing reason in step 5? Statements Reasons 1. ABCD is a kite 1. given 2. AB ≅ BC, BP ⊥ AC 2. definition of kite 3.
    14·2 answers
  • The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts
    8·1 answer
  • In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths.
    14·1 answer
  • A coat was originally priced at $50. It went on sale for $35. What was the percent that the cost was discounted?
    12·1 answer
  • Dan is watching The Birds in his backyard. Of the birds he watches, 9. Of them,or 45%, are sparrows. How many birds are in his b
    9·1 answer
  • The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
    6·1 answer
  • The tower below is made up of a square pyramid on top of a rectangular prism. What is the
    9·1 answer
  • Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea
    14·1 answer
  • Identify the equivalent expressions of 4(2x + x-3) - 3x + 3 by substituting x = 2 and x = 3.
    11·2 answers
  • Quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!