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
JulijaS [17]
2 years ago
9

If f(x) = 2x^2+1 and g(x) =x^2-7 find (f+g)(x)

Mathematics
2 answers:
alekssr [168]2 years ago
7 0
F(x) + g(x) = [2x^2 + 1] + [x^2 – 7]

≈ 3x^2 – 6

Hence (f + g)(x) = 3x^2 – 6
sp2606 [1]2 years ago
5 0

Answer:f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

Step-by-step explanation:

1 Subtract {x}^{2}x

​2

​​  from both sides.

2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x

​2

​​ +1−g−x−x

​2

​​ =−7f+g

2 Simplify  2{x}^{2}+1-g-x-{x}^{2}2x

​2

​​ +1−g−x−x

​2

​​   to  {x}^{2}+1-g-xx

​2

​​ +1−g−x.

{x}^{2}+1-g-x=-7f+gx

​2

​​ +1−g−x=−7f+g

3 Subtract gg from both sides.

{x}^{2}+1-g-x-g=-7fx

​2

​​ +1−g−x−g=−7f

4 Simplify  {x}^{2}+1-g-x-gx

​2

​​ +1−g−x−g  to  {x}^{2}+1-2g-xx

​2

​​ +1−2g−x.

{x}^{2}+1-2g-x=-7fx

​2

​​ +1−2g−x=−7f

5 Divide both sides by -7−7.

-\frac{{x}^{2}+1-2g-x}{7}=f−

​7

​

​x

​2

​​ +1−2g−x

​​ =f

6 Switch sides.

f=-\frac{{x}^{2}+1-2g-x}{7}f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

You might be interested in
7 = -x+3. Consider the line y = Find the equation of the line that is parallel to this line and passes through the point (-5, 6)
artcher [175]

Answer with explanation:

The equation of line is, y= -x +3

→x+y-3=0---------(1)

⇒Equation of line Parallel to Line , ax +by +c=0 is given by, ax + by +K=0.

Equation of Line Parallel to Line 1 is

  x+y+k=0

The Line passes through , (-5,6).

→ -5+6+k=0

→ k+1=0

→k= -1

So, equation of Line Parallel to line 1 is

x+y-1=0

⇒Equation of line Perpendicular  to Line , ax +by +c=0 is given by, bx - a y +K=0.

Equation of Line Perpendicular to Line 1 is

  x-y+k=0

The Line passes through , (-5,6).

→ -5-6+k=0

→ k-11=0

→k= 11

So, equation of Line Parallel to line 1 is

x-y+11=0

4 0
2 years ago
In 32 days, a person saved $56. What was the person's average daily savings?
ss7ja [257]

Answer: $ 1792

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help with this question u=k÷a for a
Katyanochek1 [597]
Ua=k
a=k/u
since you first multiply a then divide u pls put my answer as the brainiest one<span />
8 0
3 years ago
If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?
Maslowich

Answer: 7.958 \frac{rad}{s}

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed \omega of the object in revolutions per minute (rpm) is:

\omega=76 rpm=76 \frac{rev}{min} (1)

However, we have to convert this to \frac{rad}{s}, since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

\omega=\frac{2 \pi}{T}  (2)

Where:

2 \pi=360\° is the value of one revolution

T=1 min=60 s is the period of rotation

With this information in mind, let's make the conversion:

\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev} (3)

\omega=7.958 \frac{rad}{s} (4) This is the wind turbine angular speed

3 0
3 years ago
How do I convert 60° to radian?​
Oksi-84 [34.3K]
60° in radians is 1.047


The formula used is 60° × π/180 = 1.047rad
6 0
2 years ago
Other questions:
  • Katlyn bought a new dress for 34.65 if it was on sale for 23% off what was the original price
    14·2 answers
  • Hi, I'm struggling with these Areas &amp; Perimeters.
    11·1 answer
  • The area of a rectangle is 256.5 m.cuadrados If the length is 18m what is the perimeter of the rectangle
    6·1 answer
  • Horse races are often measured in furlongs. The Kentucky Derby is 10 furlongs long, what is the distance in miles? [1 furlong =
    12·2 answers
  • Diego is selling raffle tickets for $1.75 per ticket. How many tickets would Diego need to sell to earn $140?
    15·1 answer
  • Is 12 a divisor of 48?
    7·1 answer
  • What is the ratio of 420kg and 450kg
    5·1 answer
  • the basketball team is going to madison square garden to see a knicks game. there are 39 children on the team. they can fit 9 ch
    10·2 answers
  • What's the value of x when f(x)=58
    9·1 answer
  • (1.2)Consider the diagram below. Identify a point.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!