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
dem82 [27]
3 years ago
14

Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x

Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

f(0) = 0

y-intercept: 0

You might be interested in
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0
2 years ago
If you answer this can you explain how you got that answer please and thank you
liberstina [14]

Answer:

.

Step-by-step explanation:

5 0
2 years ago
Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the
d1i1m1o1n [39]

Answer:

3 t-shirts

Step-by-step explanation:

<u>Lets recap the information we will use from this problem:</u>

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

5 0
3 years ago
Name three different ways you can represent a group of equivalent ratios.
KonstantinChe [14]
One way is by using the same number

3 0
3 years ago
Read 2 more answers
HELP PLEASE!<br> a + 2 2/5 = 4 3/10
amm1812

Answer:

0

Step-by-step explanation:

4 + 0 = 0

7 0
2 years ago
Other questions:
  • The coordinates below represent a triangle that was dilated with a factor of 2/3
    9·1 answer
  • The sum of cube roots of unity (1+w+w^2) is
    13·1 answer
  • How would you write 3,279 is greater than 3,273
    5·1 answer
  • Jin tried to evaluate 5 + 2 x 9 step-by-step.
    6·1 answer
  • Sunnydale elementary school is having its annual read-a-thon.the third grader have read 573 books so far.their goal is to read m
    14·1 answer
  • For questions 2-3 what is each number when written in scientific notation
    9·2 answers
  • PLEASE HELP! DUE TONIGHT!
    11·1 answer
  • Please help me with this one ☝️
    13·1 answer
  • Water flows from a spigot at a rate of 1.6 gallons per minute. How long will it take to fill a 4-gallon bucket?,
    9·1 answer
  • Convert 7 pounds 3 ounces to kilograms.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!