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
Artist 52 [7]
2 years ago
7

F(x)=2x^2-x-6 g(x)=4-x (f+g)(x)

Mathematics
1 answer:
Semenov [28]2 years ago
8 0

\large  \boxed{(f + g)(x) = f(x) + g(x)}

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

\large{ \begin{cases} f(x) = 2 {x}^{2}   -  x - 6 \\ g(x) =  4 - x \end{cases}}  \\  \large{f(x) + g(x) = (2 {x}^{2}  - x - 6) + (4 - x)} \\  \large{f(x) + g(x) = 2 {x}^{2}  - x - 6 + 4 - x}

Évaluate/Combine like terms.

\large{f(x)  + g(x) = 2 {x}^{2}  - 2x - 2}

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

\large{(f + g)(x) = 2 {x}^{2}  -2x -2}

<u>Alternative</u>

\large{(f + g)(x) = 2({x}^{2}  -x - 1)}

<u>Answer</u>

  • (f+g)(x) = 2x²-2x-2
  • (f+g)(x) = 2(x²-x-1)

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

You might be interested in
Given the number 48 increase the number by the ratio 2 :8​
zhenek [66]

Answer:

192

Step-by-step explanation:

look at the given picture

7 0
2 years ago
An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En
Alex Ar [27]

Answer:

The central angle is within the range π to 3π/2

Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

π/2 = π/2 X 180°/π= 90°

π rad = π X 180°/π= 180°

3π/2 = 3π/2 X 180°/π= 270°

2π = 2π X 180°/π= 360°

Therefore the angle 250 which is between 180 and 270 is within the range :

π to 3π/2

4 0
3 years ago
Read 2 more answers
Bella brought candy to give
Len [333]
She brought 48 pieces. The equation is x/12=4
7 0
3 years ago
Read 2 more answers
Find the percent change from the first value to the second.<br><br> 50; 39
sertanlavr [38]

Answer:

11 percent

Step-by-step explanation:

if you subtract 50 - 39 = 11

so 11 percent is the change from the first value to the second value.

Hope this helps :)

7 0
2 years ago
Help with a geometry problem???​
jeka57 [31]

Volume = 9in • 9in • 9in

Volume = 729 in^3

Now multiply the volume by 6 grams.

Let H = total weight of the cube in terms of grams.

H = V • 6

H = 729 • 6

H = 4,374 grams

6 0
2 years ago
Other questions:
  • Courtney wants to carpet part of her bedroom that is shaped like a right triangle with base of 4.8 and height 5.2 meters. How mu
    12·1 answer
  • Determine whether 6/7 and 30/35 are equivalent
    8·2 answers
  • How to find the new interquartile range of the numbers 9,10,11,12,16,20,20
    7·2 answers
  • Order the numbers from greatest to least.<br><br> 2.34, 234, 94
    12·1 answer
  • Which expresión is equvalient yo 810-210+20+20
    13·2 answers
  • 4(x−5) <br> 2<br> =36<br><br> can i please get an answer to this
    8·2 answers
  • Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for
    5·1 answer
  • What is the median of 38,10,6, 23,26,38,14,23,20,11,27,33,20,13,14,31?
    7·1 answer
  • Explain your answer !!<br><br> Have a great day <br><br> Will give brainlst
    6·2 answers
  • Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!