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
Anarel [89]
3 years ago
6

Given f(x) = 2x - 1 and g(x) = x^2 + 3x - 1, find f(x) + g(x), f(x) - g(x), f(x) • g(x), and (f/g)(x)

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

\bf \begin{cases}
f(x)=2x-1\\
g(x)=x^2+3x-1
\end{cases}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
f(x)+g(x)\implies (2x-1)+(x^2+3x-1)\implies 2x+3x-1-1+x^2
\\\\\\
x^2+5x-2
\\\\[-0.35em]
~\dotfill


\bf f(x)-g(x)\implies (2x-1)-(x^2+3x-1)\implies 2x-1-x^2-3x+1
\\\\\\
-x^2-x
\\\\[-0.35em]
~\dotfill\\\\
f(x)\cdot g(x)\implies (2x-1)\cdot (x^2+3x-1)
\\\\\\
\stackrel{2x(x^2+3x-1)}{2x^3+6x^2-2x}~~+~~\stackrel{-1(x^2+3x-1)}{(-x^2-3x+1)}\implies 2x^3+5x^2-5x+1
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{f(x)}{g(x)}\implies \cfrac{2x-1}{x^2+3x-1}


the division doesn't simplify any further.

You might be interested in
A 1200 kg car rolling on a horizontal surface has speed v = 50 km/h when it strikes a horizontal coiled spring and is brought to
tangare [24]
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy. 

<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>

<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>

<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>

<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
8 0
3 years ago
Find the tenth term in the sequence
attashe74 [19]

Answer: The tenth term in the sequence is 512.

Step-by-step explanation:

Since we have given that

a_n=2^{n-1}

We need to find the tenth term:

It means n = 10

So, it becomes

a_{10}=2^{10-1}\\\\a_{10}=2^9\\\\a_{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\\\\a_{10}=512

Hence, the tenth term in the sequence is 512.

4 0
3 years ago
A company's board of directors wants to form a committee of 3 of its members. There are 6 members to choose from. How many diffe
kondaur [170]
Order doesn't mater so use combinations:
6C3 = 6!/ (3! (6-3)! ) = 6! /(3!*3!) = 6*5*4*3! / (3! 3!) = 6*5*4/3*2*1) = 20
5 0
3 years ago
Read 2 more answers
What is the average of the two bases in the following trapezoid in feet?
Alex
Since 7 yd is 21 ft you will have to
add 15 ft to 21 ft (36 ft)
and then divide by two 
your answer is 18 ft
8 0
3 years ago
Read 2 more answers
An object has a mass of 400 g and a volume of 25 cm3.<br> Find the density of the object in g/cm3.
Sunny_sXe [5.5K]

Answer:

density is equal to mass / volume

Step-by-step explanation:

mass / volume

400/25

16

4 0
3 years ago
Other questions:
  • candice bought 3 shirts. Each shirt cost the same amount and was discounted by 3.66. Candice paid a total of 62.31 before tax. H
    8·2 answers
  • Megan borrowed $3,700 from her parents for 3 years at an annual simple interest rate of 1%. How much interest will she pay if sh
    12·1 answer
  • If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi
    6·1 answer
  • a store is having a clearance sale where merchandise on the sales racks is reduced by 80% from the original. if a jacket was ori
    9·1 answer
  • What is the recursive formula for this geometric sequence? -4,-24,-144,-864,...
    7·1 answer
  • Convert these percent to a decimal 89.2%, 5%, 177%, 78.4%, 7%, and 46.3%
    7·2 answers
  • —BRAINLIEST—A person and a tree cast a shadow at the same time of day. Round your answer to the nearest hundredth.
    7·2 answers
  • 28 inches to 3 feet​
    8·2 answers
  • The shirts cost a $150 for a 100 shirts how much per shirt
    14·1 answer
  • The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!