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
olchik [2.2K]
3 years ago
10

Use the functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

(a + b) = 8x +4

(a - b) = -2x +16

(a * b) = 15x^{2}+32x-60

Step-by-step explanation:

We have been given the functions;

a(x) = 3x + 10 and b(x) = 5x − 6

Part A:

(a + b) = a(x) + b(x) # we simply add the two given functions

(a + b) = 3x + 10 + 5x − 6

(a + b) = 8x + 4

Part B:

(a - b) = a(x) - b(x) # we simply subtract the two given functions

(a - b) = (3x + 10 ) - (5x − 6)

(a - b) = 3x + 10 -5x +6

(a - b) = -2x + 16

Part C:

(a * b) = a(x)*b(x)

# we simply find the product of the two given functions

(a * b) = (3x + 10)*(5x − 6)

(a * b) = 15x^{2}-18x+50x-60=15x^{2}+32x-60

Masja [62]3 years ago
4 0

Part A

The functions a(x) = 3x + 10 and b(x) = 5x − 6 to complete the function operations listed below.

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

(a+b)(x)=(3x+10)+(5x-6)

(a+b)(x)=3x+5x+10-6

(a+b)(x)=8x+4

Part B.

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

(a-b)(x)=(3x+10)-(5x-6)

Expand the parenthesis to get:

(a-b)(x)=3x+10-5x+6

(a-b)(x)=3x-5x+10+6

(a-b)(x)=-2x+16

Part C

(a*b)(x)=a(x)*b(x)

(a*b)(x)=(3x+10)*(5x-6)

We expand to get:

a \times b = 15 {x}^{2} - 18x + 50x - 60

a \times b = 15 {x}^{2}  + 32x - 60

You might be interested in
If x5 = y3, then x = ?
mel-nik [20]

Answer: Your answer would be x = y^3/5

Hope this helped

:D

8 0
2 years ago
Sylvia placed 20 marbles in a bag: 10 red, 5 blue, green, 1 white. If
wel
The answer is 25 % hope it helps
6 0
3 years ago
Which expression is equivalent to 24x + 12?
Lyrx [107]

You can factor 12 from both terms to get

24x+12 = 12(2x+1)

7 0
3 years ago
2. Find the missing angle x.<br> 155°<br> 60°<br> X
Kryger [21]

Answer:

exterior angle property use ...

the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle

155 = 60 + x

x = 155 - 60 = 95

8 0
3 years ago
Solve the equation <br>8(4- x) = 7x + 2<br>x=​
Jet001 [13]

Answer: x=2

Step-by-step explanation:

Expand.

32−8x=7x+2

Add 8x to both sides.

32=7x+2+8x

Simplify  7x+2+8x7x+2+8x  to  15x+215x+2.

32=15x+2

Subtract 22 from both sides.

32−2=15x

Simplify  32−2  to  30.

30=15x

Divide both sides by 15.

30/15=x

Simplify 30/15 to 2

2=x

Switch sides.

x=2

7 0
3 years ago
Other questions:
  • How to solve for x and steps on how to do that with the final answer
    10·1 answer
  • I need all the answers I suck at this
    12·1 answer
  • Distance between the points (-4,6) and (3,-7)
    15·1 answer
  • 5x+8=23 <br>im so lost on how to solve these equations
    10·1 answer
  • Pleas answer my latest 2 questioms thx
    6·1 answer
  • Help! Can someone find the area of this trapezoid?
    8·2 answers
  • Competition time!
    6·1 answer
  • * سؤال حل المعادلة التالية بالتحليل الى عوامل
    15·1 answer
  • Solve -12 = z ÷ 3 for z.
    6·2 answers
  • In 2017, the top-selling frozen pizza brands, DiGiorno and Red Baron, together had sales of $1586.9 million. Red Baron’s sales w
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!