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
s344n2d4d5 [400]
3 years ago
5

Use these functions a(x) =4x +9 and b(x) =3x -5 to complete the function operations listed below

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Consider that we need to find (a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x).

Given:

The functions are:

a(x)=4x+9

b(x)=3x-5

To find:

The function operations (a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x).

Solution:

We have,

a(x)=4x+9

b(x)=3x-5

Now,

(a+b)(x)=a(x)+b(x)

(a+b)(x)=4x+9+3x-5

(a+b)(x)=7x+4

Similarly,

(a-b)(x)=a(x)-b(x)

(a-b)(x)=4x+9-(3x-5)

(a-b)(x)=4x+9-3x+5

(a-b)(x)=x+14

And,

(ab)(x)=a(x)b(x)

(ab)(x)=(4x+9)(3x-5)

(ab)(x)=12x^2-20x+27x-45

(ab)(x)=12x^2+7x-45

And,

\left(\dfrac{a}{b}\right)(x)=\dfrac{a(x)}{b(x)}

\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}

Therefore, the required functions are (a+b)(x)=7x+4, (a-b)(x)=x+14, (ab)(x)=12x^2+7x-45 and \left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}.

You might be interested in
Claire estimates the her brother is 4 feet tall. When they get measured at the doctor's office her brother's height is 4 feet 2
jasenka [17]

Answer: 2 is less than 5 so when she rounded she ended up with 4 feet and the doctors didn’t round

Step-by-step explanation:

I think this is correct

6 0
3 years ago
Read 2 more answers
At what value of x do the graphs of the equations below intersect?
Bogdan [553]

Answer:

Step-by-step explanation:

The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6

y = 2x - 6

We substitute the equation above to the second equation.

5x + 10y = –10

5x + 10( 2x - 6 )= –10

Simplifying, 

5x + 20x - 60 = -10

25x = 50

x = 2

Therefore, the intersection has the value of x equal to 2.

3 0
3 years ago
Read 2 more answers
Write the ratio for cosB
natima [27]

Answer:

11/61

Step-by-step explanation:

cos b = adj side/hypotenuse

=11/61

4 0
2 years ago
Read 2 more answers
Can someone please answer this question<br> Giving brainleist!
inna [77]

Answer:

a) 9000

b) 40

c) 630

d) 125

5 0
3 years ago
Picture Question please help!!!! Thank you so much!
ra1l [238]
The answer is 33. This is because there are 3 colours and the probability that the spinner will land on each colour is 1/3 (one third). To work out the number of times it will land on blue you have to do the probability of it landing on blue (1/3) multiplied by the number of times spun (100) which gives approximately 33. 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Chelsea took out three loans for a total of ​$ 78 comma 000 78,000 to start an organic orchard. Her​ business-equipment loan was
    10·1 answer
  • The gestation period of humans (266 ​days) is___ percent longer than the gestation period of pigs(115 days).
    12·1 answer
  • The expression 3a + 2b + c / d gives the average number of points a team earns in d games by winning a games in regulation, b ga
    13·1 answer
  • PLEASE HELP QUICK
    6·2 answers
  • 81.54 is what percent of 75.5
    7·1 answer
  • Points B, O, and Y are collinear on BY, and BO:OY = 1/3. B is located at (4,-2), O is located at
    9·1 answer
  • I need help with this one
    12·1 answer
  • Please Help if you can! There are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2
    7·1 answer
  • Find the measure of the indicated side
    14·1 answer
  • Which ordered pair (x, y) is a solution to given system of linear equations?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!