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
julsineya [31]
3 years ago
15

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)

Mathematics
2 answers:
choli [55]3 years ago
6 0

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

Alexeev081 [22]3 years ago
5 0

Answer:

Option c is the correct answer. (u/v)(x) = (-x³ + x² - 1) is the answer.

Step-by-step explanation:

We have two expressions:

u(x) =  x⁵ - x⁴ +x²

v(x) =  -x²

we have to find  (u/v)(x).

For this we have to divide these functions.

(u/v)(x) = (  x⁵ - x⁴ +x²) /( -x² )

Taking  -x² common from nominator.

(u/v)(x) =  -x²(-x³ + x² - 1) / ( -x²)

Simplify the equation.

(u/v)(x) = (-x³ + x² - 1)

So, option c is the correct answer.

You might be interested in
Write an equation showing that reggie received 30 points.
andreev551 [17]

Answer: 19 questions wrong, 16 questions right

Step-by-step explanation:

8 0
3 years ago
If a triangle is 4 feet on one side, 6 feet on another side, what is the measurement of the third side?
tino4ka555 [31]
It depends on what type of Triangle or what the volume or area is. This question is missing information.
7 0
3 years ago
Find two positive numbers whose difference is 17 and whose product is 1410
Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

4 0
3 years ago
Jeremy ran 1500 meters in 4 minutes, 45 seconds. How fast did he run in meters per second?
soldi70 [24.7K]

Answer:

5.26 meters per second

7 0
3 years ago
If Z is the centroid of ∆LMN,WZ=4,ZN=14, and ZY = 10, find each missing measure
jeyben [28]

Answer:

ZM = 8

WM = 12

XZ = 7

XN = 21

LZ = 20

Step-by-step explanation:

The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.

The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.

ZM = (2/3)WM (centroid theorem)

Therefore: WZ = (1/3)WM

WM = 3WZ = 3 * 4 = 12

ZM = (2/3) * WM = 2/3 * 12 = 8

ZN = (2/3)XN (centroid theorem)

XN = (3/2)ZN = 3/2 * 14 = 21

XN = 21

XZ + ZN = XN

XZ + 14 = 21

XZ = 7

LZ = (2/3)LY (centroid theorem)

Therefore: ZY = (1/3)LY

LY = 3ZY = 3 * 10 = 30

LZ = (2/3) * LY = 2/3 * 30 = 20

7 0
2 years ago
Other questions:
  • Which of the following are considered physical properties of a substance?
    9·1 answer
  • Each population member has a known chance of being included when a probability sampling procedure is used. true or false
    11·1 answer
  • What is the volume of the pyramid?<br> 5 cm<br> 6 cm<br> 8 cm
    13·1 answer
  • A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloon's
    7·2 answers
  • The State Board of Education has $2,183 to buy new calculators. If each calculator costs $37, how many calculators can the board
    15·1 answer
  • In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less t
    9·1 answer
  • 12. If n(A) = 14, n(B) = 15, and n(<br>AB) = 6, then n(AUB) is<br>​
    10·2 answers
  • The grid has 100 boxes. How many of the boxes are NOT shaded
    14·2 answers
  • Pls help me this is due tmrw
    15·1 answer
  • 2.5 What is the difference between relational understanding and instrumental​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!