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
Likurg_2 [28]
4 years ago
8

The functions f(x) and g(x) are defined below.

Mathematics
2 answers:
Georgia [21]4 years ago
5 0
<h3>Answer:</h3>

none of the above

<h3>Step-by-step explanation:</h3>

This question wants you to see that the radical can be simplified because it is ...

f(x)=\sqrt{(x+6)^2}

The answer choices show you are expected to simplify this to ...

... f(x) = x +6

Then

... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C

_____

However,

... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x

so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.

The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).

SCORPION-xisa [38]4 years ago
4 0

Answer:

The answer is C. x^{4}+6x^{3} -12x-72

Step-by-step explanation:

Just took the test on Plato

#PlatoLivesMatter

#YeetLife

You might be interested in
I am so confused help me plz !!
Kryger [21]

Answer:

1. -5.5   2. 5   3.  5, 5.5

Step-by-step explanation:

For #1 just look at what point it would be towards the y- axis.

For #2 you want to kinda estimate what it would be between.

And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump

4 0
3 years ago
A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live
Gwar [14]

Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000

4 0
3 years ago
A circle cuts the x-axis at (4,0) and (14,0), and cuts the y-axis at (0,6) and (0,8). Find it's equation
gayaneshka [121]
It is not a circle but you can find the equation of the ellipse.
To do this we need to work out the major and minor radii and the centre
The centre is at (9, 7)
The major (y) radius is 1 and the minor (x) radius is 5
Therefore the equation is (x-9)/5 + (y-7)/1 = 1
5 0
3 years ago
A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x.
brilliants [131]

Answer:

x = 20

Step-by-step explanation:

hmu for more information

7 0
3 years ago
What is the slope and y-intercept for the graph of the equation<br><br> Y= 4/5 x - 3 ?
vichka [17]
So,

The slope-intercept form is as follows:
y = mx + b

"m" is the slope, and "b" is the y-intercept.  The y-intercept for this equation is (0,b).

Our equation is y= \frac{4}{5} x-3

That means that \frac{4}{5} is the slope, and -3 is the y-intercept.
5 0
3 years ago
Other questions:
  • What is the slope of line m? PLEASE HELP !!!
    9·1 answer
  • 180% of what number is 27
    5·2 answers
  • Pls can someone help me and have it right
    13·1 answer
  • Which statement is false?
    9·1 answer
  • PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
    13·2 answers
  • Someone please help and make sure the answer is right :)
    7·2 answers
  • A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a
    6·1 answer
  • What is the total cost of 1.2 Cubic yards of soil if it sells for $24 per cubic yard?
    8·2 answers
  • Solve for x in a triangle. Round your answer to the nearest hundredth
    12·2 answers
  • Help me plsssssssssssssssss
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!