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]
2 years ago
15

- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :

Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

You might be interested in
Why is easier to subtract when numbers are written above and bellow each other?
attashe74 [19]

Answer:


Step-by-step explanation:

Brainly User

In my opinion, no. Others may think that when you subtract this way, it is much easier. My way to subtract numbers is below:-


Example: 17 - 11


Take the numbers that seem easy to add.


10 - 10 = 0

7 - 1 = 6

6+0 = 6


Now, we know that 17 - 11 = 6


We could have done it this way:-


  17

-  11

----------

 0 6

-kiara

5 0
2 years ago
Read 2 more answers
Please help me now plz I will mark you brainliest
krok68 [10]

Answer:

y = -5/4x -4

8 0
2 years ago
john has $305, and he is spending $3 each day. which algebraic expression describes this situation, where d represents the numbe
Artist 52 [7]
The answer whould be like this

305 - 3d
8 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
2 years ago
100 PTS FOR TRULY HONEST ANSEWR correctly identify the property shown. (−5.2+(−8.4))+(−2.8)=−(5.2+8.4)+(−2.8)
Step2247 [10]
Distributive property because if you divide -5.2+(-8.4) by -1, you get -(5.2+8.4)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write this equation in standard form of each line passing through the two given points (2,3);(1,-2)
    8·1 answer
  • A scale drawing of a rectangular painting has a scale factor of 1:4 which statements are true
    15·1 answer
  • Lauren jogs at a rate of 2 miles every 2/5 hour what is her unit rate ?
    15·1 answer
  • Write an equation of the parabola in vertex form.
    11·1 answer
  • This is similar to a problem in the textbook. After a foreign substance is introduced into the blood, the rate at which antibodi
    8·1 answer
  • The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o
    5·1 answer
  • What is the equation of an arithmetic sequence with a first term of 6 and a second term of 2?
    9·1 answer
  • 1. At dinner Mr. Murphy’s bill came out to $39.99 before tax and tip sales tax is 6% he wants to also have a 20% tip how much mo
    10·1 answer
  • Please helpp me I’ll give brainliest
    10·2 answers
  • WRITE AN EQUATION 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students we
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!