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
LUCKY_DIMON [66]
3 years ago
13

If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

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

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

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

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

You might be interested in
Find the distance between the points (3, 7) and (3, -5).
Rina8888 [55]
The distance would be 13
6 0
3 years ago
Read 2 more answers
Peter is twice the age of Sara. If their total age is 27 years. how old is Sara?
Xelga [282]

Answer:

Just do 27x2 bro simple as that

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Victor plants 56 seeds in some flower pots if he puts 7 seeds in each pot how many flower pots does he have
Papessa [141]

Answer:

8

Step-by-step explanation:

The total seeds Victor plants in the flower pots=56

He puts 7 seeds in each pot.

So to find the number of pots;

You need to divide the total seeds(56) by the seeds put in each(7)

So it's going to be;

56÷7

=8

Therefore the total number of flower pots is 8.

8 0
3 years ago
A ship sails 95 km on a bearing of 140 degrees,than further on 102km on a bearing of 260degrees,and than returns directly to its
sammy [17]

Answer:

1. 98.7 km

2. 303.5 degree

Step-by-step explanation:

Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.

To calculate the length AC of the returning journey, use cosine formula to calculate it.

To find the bearing of the returning journey, use sine rule to calculate it.

Please find the attached file for the solution

7 0
3 years ago
Need helppppppppppppp
REY [17]
I can’t see can you put it closer
4 0
3 years ago
Other questions:
  • Only answer if you are sure thanks!
    8·2 answers
  • Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at the
    14·1 answer
  • 4h + 7 = -8 – h .......
    15·1 answer
  • Suzanne was baking treats for her bakery's grand opening. She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen co
    9·2 answers
  • Pls help me with this
    13·1 answer
  • CAN SOMEONE HELP ME ANSWER THIS ​
    15·1 answer
  • At the beginning of this month, the balance of Vance's checking account was $697.96. So far this month, he has received a payche
    8·2 answers
  • This website is useless dont get any type of answers
    10·1 answer
  • Are 0.34 and 3/4 equivalent? Explain your answer in complete sentences.
    13·2 answers
  • Please help meeeeeeeeeee
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!