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
What is the point slope form of Y=1/2X-2
vagabundo [1.1K]
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2  (slope-intercept form y=mx+b)

the slope of this line is 1/2  (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2  (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
8 0
3 years ago
Help please!!!! i dont know how to do this
IRINA_888 [86]

All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.

As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.

Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.

Here is an attached image of the same with angles marked on it.

Alternate Interior Angles: ∠3 = ∠5 and ∠4=∠6

Alternate Exterior Angles: ∠2=∠8 and ∠1=∠7

Corresponding Angles: ∠1=∠5 , ∠4=∠8 , ∠3=∠7 and ∠2=∠6

Consecutive Interior Angles: ∠4=∠5 and ∠3=∠6

  • Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
  • Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.

To learn more about Transversal Line click on the link given below:

brainly.com/question/24770636

#SPJ1

8 0
1 year ago
2x to the power of 2 + x = ? When x=9
oee [108]

Answer:

Step-by-step explanation:

2x to the power of 2 + x = ? When x=9

(2x)^2 + x

= 4x^2 + x

When x = 9

= 4(9)^2 + 9

= 4(81) + 9

= 324 + 9

= 333

8 0
3 years ago
Read 2 more answers
Change 2 21/9 to an improper fraction
ivanzaharov [21]

Answer: 13/3

Step-by-step explanation: TO turn a mixed number into an improper fraction, the best way is to multiply the denominator of the fraction by the whole number, then add the product to the numerator, then use that as the numerator of your new improper fraction, keeping the denominator the same.

>2 21/9

> 9*2 +21 =39

> 39/9

>13/3

8 0
3 years ago
Read 2 more answers
Simplify 123 over 3
igor_vitrenko [27]

Answer:

The answer is 41

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which is bigger 30% or 1/3
    6·2 answers
  • 1/6-1/8 subtract and simplify
    6·1 answer
  • What is tan 330 degrees
    11·1 answer
  • How much greater will Jennifer’s January finance charge be if the finance charge is calculated using the previous balance method
    5·2 answers
  • Algerbra 1 what is the justification for each step
    15·1 answer
  • Question 3 (4 points)
    14·1 answer
  • ___ are released that cause the cell to lyse or cytolysis
    11·2 answers
  • $90+$6.75+$7.98+$0.02
    12·2 answers
  • Pablo’s goal is to walk a total of 1034
    6·1 answer
  • Factor 3x^3 - 15x^2 + 18x.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!