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
Leona [35]
4 years ago
12

Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Identify each x-intercept and just

ify your answer as well.
Mathematics
1 answer:
vlada-n [284]4 years ago
8 0
Find x-intercepts

f(x)=0
\\(2x-7)^7(x+3)^4=0
\\2x-7=0
\\x=3.5
\\x+3=0
\\x=-3


Determine the sign of the function:
x∈(-∞,-3)∪(-3,3.5)⇒y<0
x∈(3,5,+∞)⇒y>0

Therefore, point x=-3 is the maximum and point x=3.5 is the point of inflection.


You might be interested in
The length of a ribbon is 3/4 meter.Sun Yi needs pieces measuring 1/3 meter for an art project.what is the greatest number of pi
poizon [28]

The <em>correct answer</em> is:

2 pieces, with 1/12 m left over.

Explanation:

To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:

3/4÷1/3

To divide fractions, flip the second one and multiply:

3/4×3/1

To multiply fractions, multiply straight across:

(3*3)/(4*1) = 9/4

4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.

2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:

3/4 - 2/3

Common denominator is 12:

3/4 = 9/12 and 2/3 = 8/12

9/12 - 8/12 = 1/12

There is 1/12 of a meter left.

7 0
4 years ago
Read 2 more answers
a washer and a dryer cost $809 combined. the washer costs $91 less than the dryer. what is the cost of the dryer?
zavuch27 [327]

Answer:

idk

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write another way to group the factors then find the product (3×2×4
Ugo [173]
Another way to group the factors can be like this:

6 x 4
8 x 3
12 x 2

The product regardless would be 24.
8 0
3 years ago
Find the y-intercept of the following equation.
Dafna1 [17]

Answer:

(0,12)

Step-by-step explanation:

y = -3x^2 – 4x + 12

To find the y intercept, let x=0

y = -3(0) -4(0) +12

y=12

The y intercept is (0,12)

6 0
4 years ago
-5√112 <br> I have to solve this using perfect square factors, is anyone familiar with those?
svp [43]

Answer:

-20√7

Step-by-step explanation:

Here. we want to write this in the simpler form

we can have 112 as; 16 * 7

√112 = √(16*7)

√112 = 4 √7

so, we have

-5 * 4 √(7 = -20 √7

5 0
3 years ago
Other questions:
  • A field is 3645 feet long. What is the length of the field in yards?
    13·2 answers
  • What is 76 times 468
    7·2 answers
  • What is the volume of the cylinder shown below 12 11
    11·1 answer
  • (8.9 x 10^9) + (4.2 x 10^6)
    14·2 answers
  • The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 100%
    12·1 answer
  • !Help Help Help! lols
    15·2 answers
  • Please help me answer this for me please
    10·1 answer
  • There are 42 students in a class.
    7·1 answer
  • Awnser pls I need help
    8·1 answer
  • Help ASAP <br> What are the correct notations for the following number line? (Select all that Apply)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!