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
Korvikt [17]
2 years ago
15

Given f(x)=2x2−5x−3 and g(x)=2x2+x . What is (fg)(x) ?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

fourth option

Step-by-step explanation:

note that (\frac{f}{g} )(x)x) = \frac{f(x)}{g(x)}

\frac{f(x)}{g(x)} = \frac{2x^2-5x-3}{2x^2+x} ← factorise numerator/ denominator

= \frac{(x-3)(2x+1)}{x(2x+1)} ← cancel the common factor (2x + 1)

= \frac{x-3}{x} where x ≠ 0, - \frac{1}{2}

You might be interested in
Review the expression below -2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Oduvanchick [21]

Answer:

6ab + b^2 - 17a - 4b + 10

Step-by-step explanation:

-2(a+b-5)+3(-5a+2b)+b(6a+b-8)

Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.

Algebraic Operations need to be considered:

[ (-) x (-) = (+); (-) x (+) = (-)]

= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]

= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b

Now, we will make the adjustment by the similarity value.

= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10

= - 17a - 4b + 6ab + b^2 + 10

= 6ab + b^2 - 17a - 4b + 10

Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10

6 0
3 years ago
Combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
ch4aika [34]

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

7 0
3 years ago
The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
rosijanka [135]
I’m doing this too hopefully someone answers quick cause I’m confused also.
6 0
3 years ago
The South Memorial School is designing a new playground. There will be a walkway that diagonally crosses the square playground.
cestrela7 [59]
The playground is a square, so there will be a right triangle formed by diagonal and two sides. So sides length²*2=diagonal length². So the side length is 38.9 meter.
4 0
2 years ago
What is the hypotenuse of an triangle with sides 6 and 8 and angles 30 and 60 degrees?
klemol [59]
Hypotenuse ^2 = base^2 + perpendicular ^2

H^2 = 6^2 + 8^2
H^2 = 36 + 64
H^2 = 100
H = 10

(This is a right angle triangle as 60+30= 90
180-90= 90)
5 0
3 years ago
Other questions:
  • PLEASE HELP! I'M BEING TIMED :(( PLZ HELP!! Which point is an x-intercept of the quadratic function f(x) = (x – 8)(x + 9)? (0,8)
    10·1 answer
  • Solve the given equation. 11x^4-37x^2+26=0
    11·1 answer
  • (4) (-5) 2/(3)= ? i have no idea how to solve this
    6·1 answer
  • Sophia was asked to find the original dimension of a reduced hexagon. A smaller hexagon has a top side length of 1.2 inches and
    9·2 answers
  • Lyla and Gio are packing boxes for a food drive. Lyla packs 20.5 boxes per hour. After 2 hours, Gio has packed 10.3 more boxes t
    14·1 answer
  • Find the value of x in the figure below.<br> (8x + 5)°<br> (13x – 14)°
    15·1 answer
  • Solve for a.
    15·2 answers
  • What is (-5x^2 + 6x + 7) + (-x^2 + 4x) in polynomial standard form?
    11·1 answer
  • Enlarge the triangle by scale factor 0.5 using (3, 1)
    11·1 answer
  • Susan drove 4 hours. Her average speed was 60 mph. Finish the chart below to give her an average speed of 60 mph.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!