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
statuscvo [17]
3 years ago
8

Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)

Mathematics
2 answers:
Tju [1.3M]3 years ago
5 0

Answer:

(f+g)(x)=5/3x−2

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

f(x)=2x+1 + g(x)=−1/3 x−3

add like terms

2x+(-1/3 x)=5/3 x

1+(-3)= -2

so...

(f+g)(x)=5/3 x−2

raketka [301]3 years ago
3 0

Answer:

- 11x - 2

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 1 - 13x - 3 ← collect like terms

= - 11x - 2

You might be interested in
What is the slope of a line parallel to the line whose equation is y - x = 5?
Ghella [55]
A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.
3 0
3 years ago
Answer the questions and show work .
In-s [12.5K]
B would be your answer
6 0
3 years ago
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
vivado [14]

A. -4, -1, 2, and 5

7 0
2 years ago
Factor 8x^3y + 38x^2y - 10xy
Sophie [7]

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

7 0
2 years ago
Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the
d1i1m1o1n [39]

Answer:

3 t-shirts

Step-by-step explanation:

<u>Lets recap the information we will use from this problem:</u>

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

5 0
3 years ago
Other questions:
  • For a class experiment, Sally's class weighed a log before and after
    11·1 answer
  • Is 2,293,714 divisible by 11?
    7·1 answer
  • Can someone help? 15 points! :)
    15·1 answer
  • Estimate each number by rounding to the nearest 100,000
    12·1 answer
  • Please help me answer I need this question right, one more wrong answer and I'll fail
    7·1 answer
  • A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent
    10·1 answer
  • Plz help!! im working on systems of linear equations...
    12·1 answer
  • After a 75% reduction, you purchase a new clothes dryer on sale for $125. What was the original price of the clothes dryer?
    15·1 answer
  • Helpppppppppp<br> plzzzzzzzz<br> i will mark you brill
    9·1 answer
  • HELP I NEED HELP ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!