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
____ [38]
3 years ago
8

If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

You might be interested in
PLEASE HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!
n200080 [17]
12 dimes and 48 nickles is the correct answer to the problem

 

6 0
3 years ago
Read 2 more answers
Evaluate |2x+y-3z| for x=-2, y=10, and z=3<br> How to solve?
Angelina_Jolie [31]
|2x + y - 3z|
Plug in the values
|-4 + 10 - 9|
= |-3|
= 3
4 0
3 years ago
Read 2 more answers
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
I need help with number 14 a-c plz
mars1129 [50]
A the 12 pack box of 1.4 ounce bars
6 0
3 years ago
I attached the question
noname [10]
5x = 4y - 3

The correct answer is D. 5x - 4y = -3

This is because standard form is the form ax + by = c, where a, b, and c are coefficients or constants of the variables x and y.  Thus, Answer D (above) is the correct answer to this problem, as it is the only option that fits this.
4 0
3 years ago
Other questions:
  • What is the gcf of b3+5b2-20b
    7·1 answer
  • Convert the map scale to a unit rate. Show your work. Interpret the meaning of the unit rate 3/10 in.= 7/8 mi
    5·2 answers
  • To the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008. What might have been the exact
    11·1 answer
  • David reads this advert on his county council website.
    8·2 answers
  • Find the distance between (-1,4) and (5,7).
    9·1 answer
  • Find the sum of all numbers 1 to 1000
    15·1 answer
  • HELP HELP HELP HELP WILL GIVE BRAINLIST
    9·1 answer
  • Find the unite rate 380 19
    14·1 answer
  • Write 1042000 000 m+ in scientific notification​
    11·1 answer
  • 21. To find a baseball pitcher's earned run average (ERA), you can use the formula Ei=9r, in which E represents ERA, i represent
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!