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
Aleks04 [339]
3 years ago
7

1.What are the zeros of the polynomial function?

Mathematics
1 answer:
Lorico [155]3 years ago
7 0
Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
______________

Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________


To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9


Well, this would be your answers.


You might be interested in
Juan has a supply of rope that is 9 yards long. He needs pieces of rope that are each yard long. How many pieces of rope of this
FinnZ [79.3K]
It can be cut into nine different pieces that size with no rope left over
4 0
2 years ago
Jack is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, str
SCORPION-xisa [38]

Answer:

110 yards of string

Step-by-step explanation:

Converting the feet of the string of 1 balloon to yard

1 foot = 1/3 yard

6 feet = x

x = 6 × 1/3 yard

x = 2 yard

Hence 1 balloon uses 2 yard of string

Since:

1 balloon = 2 yard of string

55 ballons = x

x = 55 × 2 yard of string

x = 110 yards of string

Hence, for 55 balloons he would need 110 yards of string.

6 0
2 years ago
The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each
notsponge [240]

Answer:

50h + 25.5 = 154 is the awnser

7 0
3 years ago
What is x²+x-30 as a binomial?
Zolol [24]
X^2+x-30 -- find two numbers that add to one and multiply to -30, which would be 6 and -5. so now you have x^2+6x-5x-30. factor out x and 5 to get x(x+6)-5(x+6). so you get (x+6)*(x-5)
6 0
3 years ago
Read 2 more answers
The independent variable of a data set is x,while the dependent variable is y.which of these is a response variable
Fudgin [204]

Answer:

Dependent variable is a response variable

Step-by-step explanation:

Search up definition for response variable and it literally saids it's another word for dependent variable haha

3 0
3 years ago
Read 2 more answers
Other questions:
  • For h(x)=1/2x+4, find the value of x when h(x)=10<br><br>x = ?
    8·1 answer
  • How do i simplify 2a 3(4a-5)?
    13·1 answer
  • The triangle shown below has an area of 40 units”.<br> Find the missing side.
    10·1 answer
  • A square measures 8 inches on each side. What is its area rounded off to the nearest square centimeter? (Note: 1 inch ≈ 2.54 cm)
    13·2 answers
  • What is f(x) when given the points (0,-5)
    6·1 answer
  • I need help on this ​
    8·2 answers
  • To the nearest tenth, what is the height of the square pyramid shown below?
    11·1 answer
  • Pleaseee helppp meeeeee!
    10·2 answers
  • The dolphin dives 30 feet below the surface of the ocean. What is the dolphin's new elevation?
    15·1 answer
  • jamie deposits $900 into a savings account that pays 2% interest. if he leaves the money in the account for 3 years, how much in
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!