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
katrin2010 [14]
2 years ago
8

Consider the following polynomial functions. f(a) = (2a - 7 + a?) and g(a) = (5 – a).

Mathematics
2 answers:
mote1985 [20]2 years ago
4 0

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

slavikrds [6]2 years ago
4 0

Answer:

Statement 2,3 and 5

Step-by-step explanation:

The sum, difference and product of two (or more) polynomials is also a polynomial.

Statement 2 is correct

Sum:

(a² - 7 + 2a) + (5 - a)

a² + 2a - a - 7 + 5

a² + a - 2

Statement 3 is correct

This is a degree 2 polynomial so

Statement 1 is incorrect

Difference:

(a² - 7 + 2a) - (5 - a)

a² + 2a + a - 7 - 5

a² + 3a - 12

Statement 4 is incorrect

Product:

(a² + 2a - 7) × (-a + 5)

-a³ + 5a² - 2a² + 10a + 7a - 35

-a³ + 3a² + 17a - 35

Statement 5 is correct

You might be interested in
List all the factors of 36​
OLEGan [10]
The factors of 36 are:
1,2,3,4,6,9,12,18,36.
4 0
2 years ago
Read 2 more answers
What word problem could be used for the 2 step equation .5(x+40)=200
Fiesta28 [93]

Since multiplying by 0.5 is the same as dividing by 2, the problem is described by the sentence

"Half the sum of a number and 40 equals 200"

5 0
2 years ago
Read 2 more answers
Bruce drove 25 km and his car used 4 L of gas. How many km can Bruce drive with 30 L of gas? Round your answer to the nearest km
Rudik [331]

Answer:

188km

Hi there!!

I hope this answer helps.

Step-by-step explanation:

You can solve this with simple cross multiplication. (proportion)

Step-by-step explanation:

7 0
2 years ago
A digital camera for 249.99 at 4% sales tax
spin [16.1K]
First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04 

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

4 0
3 years ago
Tim needs 18 pens he can buy them in packages of 6 9 or 12 he will buy only one type of package which packages could Tim buy wri
emmainna [20.7K]

Answer:

See below.

Step-by-step explanation:

Either 3 packets of 6 pens  or

2 packets of 9 pens.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which of these is the algebraic expression for "5 times and the sum of 2 and y?"
    11·1 answer
  • What is the value of 6 in the number of 46.026
    11·1 answer
  • I don't understand what to do because I don't understand the question
    7·1 answer
  • Jonah collects rainwater in a large barrel that weighs 30 pounds. When there are 10 gallons of water in the barrel, the total we
    14·1 answer
  • Find the equation of the line with slope -1/5 and y-intercept (0,-2)
    9·2 answers
  • The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
    10·2 answers
  • Help me please!!!!! Thanks if u did
    8·1 answer
  • Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen.
    7·1 answer
  • The restaurant bill you and your friend received
    14·2 answers
  • PLEASE HELP ME
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!