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
krok68 [10]
3 years ago
14

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is (f/g)(x) ?

Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:   \bold{D.\ \dfrac{x+4}{x}\ where\ x \neq 0, \dfrac{2}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x


\dfrac{f(x)}{g(x)}=\dfrac{3x^2+10x-8}{3x^2-2x}=\dfrac{(3x-2)(x+4)}{x(3x-2)}=\dfrac{x+4}{x}

Restriction on x: the denominator cannot be equal to zero. So,

    x(3x - 2) ≠ 0  

→  x ≠ 0     and     3x - 2 ≠ 0

                             3x       ≠ 2

                               x       \neq \dfrac{2}{3}


You might be interested in
Complete the function table for y=2.5x−8 .
Black_prince [1.1K]

Answer:

x=3.2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e
Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet  of peanut butter contains = 500 + 20% of 500                                                                                                            =500+500\times \frac{20}{100} =500+100=600\ gram

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price =  Each jar weigh \times number of jars

                       = 600 \times 4 = 2400 gram

<u>Cost of each packet will be same as previously as during the offer;</u> $7.20

Cost of 3 packet's peanut (2400 gram) =  7.20\times3=\$21.6

Now, we will calculate cost per 100 grams of peanut butter :

<u>During offer:</u>

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = \frac{21.6}{2400}

Cost of 100 gram of peanut butter = \frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9

<u>Normal day:</u>

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = \frac{7.20}{500}

Cost of 100 gram of peanut butter = \frac{7.20}{500}\times100=\frac{720}{500} =\$1.44

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

<u>Conclusion:</u>

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

             

7 0
3 years ago
A registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee
natima [27]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{0.8\% of 5700}}{\left( \cfrac{0.8}{100} \right)5700}\implies 45.6

5 0
3 years ago
7/√10-√3<br> plss faast very urgent​
Bogdan [553]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution :

  • \dfrac{7}{ \sqrt{10 }  -  \sqrt{ 3} }

  • \dfrac{7}{ \sqrt{10} -  \sqrt{ 3}  }  \times  \dfrac{ \sqrt{10}  +  \sqrt{3} }{ \sqrt{10}  +  \sqrt{3} }

  • \dfrac{7( \sqrt{10}  +  \sqrt{3} )}{( \sqrt{ 10}) {}^{2} - (  \sqrt{ {3}})^{2}  }

  • \dfrac{7 (\sqrt{10}  +  \sqrt{3}) }{10 - 3}

  • \dfrac{7( \sqrt{10}  +  \sqrt{3} )}{7}

  • \sqrt{10} +  \sqrt{3}
6 0
2 years ago
Read 2 more answers
If u have 8 and u add 7 more then u multiple it bye 12 how much will u have in total
Sindrei [870]

Answer: 180

Step-by-step explanation: 8 +7 * 12= 180,

i hope this helps please mark brainliest!

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the Fraction of the items are round
    5·2 answers
  • What is the value of x in the equation x – y = 30, when y = 15?
    7·2 answers
  • Find the volume of the figure below. Round to the nearest square centimeter.
    6·1 answer
  • Which number line represents the solution to 2.5 - 1.2x &lt; 6.5 - 3.2.x?
    5·1 answer
  • Solve this equation 3x + 1 = 10
    15·1 answer
  • How many degrees are in a third of a full turn?
    7·2 answers
  • Simplify the expression.
    13·1 answer
  • Ava takes guitar lessons. The lessons cost $90 each month. She has 4 lessons every month. How much does each of Ava‘s guitar les
    15·2 answers
  • -3z-1=7 what does z equal
    6·2 answers
  • Can someone explain to me how they got 1/2?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!