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
BabaBlast [244]
3 years ago
12

If f(x) = –x3, g(x) = 3x2 – 1, and h(x) = 2x + 5, what is the degree of [f o g o h](x)?

Mathematics
2 answers:
Alenkinab [10]3 years ago
5 0

Answer:

The degree of [f o g o h](x) is 6.

Step-by-step explanation:

We are given the following information:

f(x) = -x^3\\g(x) = 3x^2 - 1\\ h(x) = 2x + 5

we have to find degree of [f o g o h](x)

[f o g o h](x) =

f \circ g \circ h = f(g(h(x)))

Putting the values,

f(g(h(x)))\\\\=f(g(2x + 5)\\\\= f(3(2x+5)^2-1)\\\\= -(3(2x+5)^2-1)^3\\\\= -(3(4x^2+25+20x)-1)^3\\\\=-(12x^2+60x+74)^3\\\\= -1728x^6-25920x^5-161568x^4-535680x^3-996336x^2-985680x-405224

The degree of above expression is 6.

Thus, the degree of [f o g o h](x) is 6.

yan [13]3 years ago
4 0
I reckon the degree will be 6
You might be interested in
Write the sentence as an equation<br><br> 225 is 266 minus D?
Alika [10]

Answer:

225 = 266 - D

Step-by-step explanation:

the equation is written as the sentence is expressed

is means equal and minus is subtract

225 = 266 - D


7 0
3 years ago
Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh
Sergio039 [100]

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 3\times 21=63 inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = \frac{63}{12}  feet = 5.25 feet.

We are also told that Maria has \frac{3}{4} foot of trim left, so total length of trim would be trim used plus trim left that is 5.25+\frac{3}{4}=5.25+0.75=6 feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = \frac{6}{3} yards = 2 yards

Therefore, the length of the trim was 2 yards.

5 0
3 years ago
A photo is 4 inches by 6 inches. What is the area of the photo?
kolezko [41]
4 * 6 = 24
The answer is, the area of the whole photo is 24. 
Hope this helped :)
4 0
3 years ago
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
never [62]

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

8 0
3 years ago
45 miles in 40 minutes
charle [14.2K]
Hi there!

45 mi to 40 min = 1.125 mi per min

45 ÷ 40 = 1.124

Hope this helps!
8 0
3 years ago
Other questions:
  • A digital video recorder (DVR) records television shows on an internal hard drive. To use a DVR, you need a subscription with a
    8·1 answer
  • What caused turmoils in colombia?
    14·1 answer
  • In a Northwest Washington County, speeding fines are determined by the formula
    13·1 answer
  • Below is the table of values of a function.
    11·1 answer
  • Use the DESMOS graphing calculator to find the solution to the system.
    9·1 answer
  • HELPPP If _ABD and ZACD are both right angles, CD = 15, and BD = 4x-9, what is the value<br> of x?
    5·1 answer
  • Can you guys please help me with this problem
    13·2 answers
  • A parabola has a maximum value of 4 at x = -1, a y-intercept of 3, and an x-intercept of 1.
    12·2 answers
  • David gets 65 chocolates an hour for cleaning. He gets a 15% raise. He cleans for 60 hours this week. How many more chocolates w
    5·2 answers
  • A stained glass window is pictured below The area of the stained glass window is 42 square inches. What is the height of the sta
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!