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
Viktor [21]
2 years ago
10

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

the x-axis at the zero.
Mathematics
1 answer:
AleksandrR [38]2 years ago
7 0

Answer: See below

Step-by-step explanation:

<u>To find the factor,</u>

f(x) = 0

\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}

<u>So,</u>

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

<u>Therefore,</u>

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

You might be interested in
You go to a school dance. There is an entrance fee, and there are slices of pizza for sale. After having 1 slice of pizza, you h
ANEK [815]
Xcubed=y
Each slice was 2$ entrance fee was 4$
4 0
3 years ago
Need help with these two, please thanks
Musya8 [376]

Answer:

the answer is 93.6

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The expression 28 + 63 is equivalent to<br> 1 91<br> 2 5,7<br> 3 6/7<br> 4 13,7
Yuliya22 [10]

Answer:

1) 91

Step-by-step explanation:

28 + 63 = 91

3 0
2 years ago
A line passes through the points (3,5) and (2,0) what’s the slope of the line
Fiesta28 [93]

The slope is 5/1. This is because it goes up 5 units and right one unit. This corresponds with the fact that slope is the rise/run on a line.

8 0
3 years ago
Read 2 more answers
A line that includes the points (
barxatty [35]

Answer:

-7

Step-by-step explanation:

Refer to the photo.

the slope=(0-g)/(5-4)

i.e. 7=(-g)/1

g=-7

3 0
3 years ago
Other questions:
  • Need help with this assignment please
    7·2 answers
  • The population of rabbits in a national forest is modeled by the formula P= 12,000 + 1000 (t+1) where t is the number of years f
    11·1 answer
  • How do you find volume.<br><br><br><br><br><br> a. l x w<br> b. l x b x h<br> c. l x w x h
    14·1 answer
  • Can someone please help me
    10·1 answer
  • A piece of fabric measures 3.9 meters. Express this length in centimeters
    13·2 answers
  • Write the polynomials in standard form:<br><br> (15–7xy^2)–(y^3–y^2x–15)
    13·1 answer
  • One x-intercept of the graph of the of the cubic function f(x) = x^3 – 2x^2 – 111x – 108 is –9.
    5·1 answer
  • A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter f
    8·1 answer
  • A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cos
    9·1 answer
  • Best tip for Maths test to figure out challenging problems​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!