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

Answers

Answer 1

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


Related Questions

When I think of a number, double it, then add 7, I get 25. What number did I think of? ( Hint: Let the number be x)o

Answers

Hey there!

The answer is [tex]9[/tex]

We will start by forming an equation to solve this.

So we are starting with a number, [tex]x[/tex], then doubling it and adding [tex]7[/tex], which gives us 25.

So:

[tex]2x+7=25[/tex]

Now we solve this equation:

[tex]2x+7=25[/tex]

[tex]2x=18[/tex]

[tex]x=9[/tex]

Have a super awesome day!

Answer:

X = 9

Step-by-step explanation:

If you take 9, then double it, you get 18. 9+9 = 18. Then, you would add 7. 18 plus 7 is 25.

Hence, the answer to this problem is 9.

hard question!!!please help me !
there is english below ​

Answers

9514 1404 393

Answer:

  t = ±√3

Step-by-step explanation:

The first equation tells us ...

  x^2 +tx +2 = (x -h)(x -k)

 x^2 +tx +2 = x^2 -(h+k)x +hk

Comparing coefficients, we have the equations ...

  t=-(h+k)

  2 = hk

__

The second equation tells us ...

  2x^2 +mx +2m = 2(x -h/k)(x -k/h)

  2x^2 +mx +2m = 2x^2 -2(h/k +k/h)x +2

Comparing coefficients, we have the equations ...

  m = -2(h/k +k/h)

  2m = 2

__

Dividing the last equation by 2 gives ...

  m = 1

Using that in the third equation, we have ...

  1 = -2(h/k +k/h) = -2(h^2 +k^2)/hk

Using hk = 2, this gives us ...

  h^2 +k^2 = -1

From the first equation, we know ...

  t^2 = (-(h+k))^2 = h^2 +2hk +k^2 = (h^2 +k^2) +2(hk)

Substituting the values for these terms, we have ...

  t^2 = -1 + 2(2) = 3

  t = ±√3

Possible values of t are √3 and -√3.

what is the amplitude of y = 3[6(x-4)] - 5

Answers

'I hope my answer helps you'

Question: y = 3cos[6(x-4)] - 5

Answer: 3

Step-by-step explanation:

The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off

Here's a trick to find everything; amplitude, period, phase sift, etc.:

      y = A sin(B(x + C)) + D

* amplitude is A

* period is 2π/B

* phase shift is C (positive is to the left)

* vertical shift is D

What is the value of point A ? ---------

Answers

Answer:

The answer is (5,3) because x=5 and y=3

Answer:

the answer is (5,3).

Step-by-step explanation:

5 by 3 is 15, so there are 15 squares or units.

The inverse of the function y = 22 +3 is y = –20 – 3
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Factor completely: x2-4

Answers

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

what is 4 + 5 square divided by 4​

Answers

Answer:

0.75

Step-by-step explanation:

4 + 5=9

√(9)=3

3 ÷ 4 =  0.75

. A class trip is being planned. For one option, each student will pay $630. This includes two meals a day and accommodation for the 9 day trip. The other option offers three meals a day and accommodation for the 9days. This second option costs $720. What is the cost per meal? What is the cost per day for accommodation?

Answers

30 dollars because it’s a extra 90 dollars and an extra 3 days so put 30 into 90

Mrs. Brown has a flower garden in the shape of a parallelogram.
The length of the base of the garden is 9.5 feet and the height is
4.2 feet. What is the area of the flower garden?
A 19.95 ft? B 27.4 f? C 30.7 ft? D 39.9 ft?

Answers

Area of flower garden is 39.9 square feet

Solution:

Given that, flower garden in the shape of a parallelogram

The length of the base of the garden is 9.5 feet and the height is 4.2 feet

To find the area of a parallelogram, multiply the base by the height

The formula for area of parallelogram is:

 From given,  

Base = 9.5 feet

Height = 4.2 feet  

Substituting the values in formula,

Thus area of flower garden is 39.9 square feet

(hope this helps can i plz have brainlist :D hehe)

Answer:

D

Step-by-step explanation:

A=bh

A=(9.5)(4.2)

A=39.9 ft

Which expression doesn't belong? Why does it not belong? A. 7.9x B. 7.9 · (-10) C. 7.9 + x D. - 79

Answers

Answer:

C. 7.9 + x

Step-by-step explanation:

Given - A. 7.9x  B. 7.9 · (-10)  C. 7.9 + x  D. - 79

To find - Which expression doesn't belong? Why does it not belong?

Proof -

As given

A.  7.9x

B. 7.9·(-10)

C. 7.9 + x

D. -79

As we can see that Option A, B, D are the multiple of 7.9 but Option C is not the multiple of 7.9

So, Option C does not belong here.

∴ we get

The correct answer is - C. 7.9 + x

What is 110% of 100,000

Answers

Answer:

It is 110000 your welcome

Step-by-step explanation:

No explanation need luv

The graph shows the number of cases of bottles of water and the total number of bottles of water.
Bottles of Water
Write an equation that you can use to determine the number of bottles of water in the store if you know then number of cases of water.

Answers

Answer:

b = 24c

Step-by-step explanation:

Find the sum of the interior angles of a dodecagon ( 12 sides ) show work for your answer!  ❤️

Answers

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum = (12 -2) * 180

Sum of the interior angles = 1,800 degrees

Source:  http://www.1728.org/polygon.htm

Step-by-step explanation:

A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?

Answers

The formula to find the hypotenuse is a^2 + b^2 = c^2. Let’s call side AB, “a” and call side BC, “b”. Now “a” = 35 cm and “b” = 12 cm. Using the formula, you square (multiply the number by itself) “a” and “b” then add them together. This would look like 35^2 + 12^2 =c^2. When you do the multiplication it ends up as 1,225 + 144 = c^2. Add 1,225 and 144 together to get 1,369 = c^2. Last step is to square root both sides to get 37 = c. So the hypotenuse of this triangle would be 37.
Hope this helps!

Principal = $5000
Rate = 7.4%
Time = 8 years

Answers

Answer:

2,960.00

Step-by-step explanation:

5000x7.4x8=2,960.00

hope this helps

The amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with 100 g of this radioactive substance, which function represents the amount of radioactive substance left after x hours?

A- f(x)=100(0.15)^x
B- f(x)=100(0.85)^x
C- f(x)=100(1.15)^x
D-f(x)=100(1.85)^x

Answers

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.

The function that represents the amount of radioactive substance left after {x} hours is -

f(x)=100(0.15)ˣ

Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ6

8 is 80% of what number?

Answers

Answer: 10

Step-by-step explanation:

80/100 of 10

0.8 × 10 = 8

8 is 80% of 10

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

To find a number such that, it's 80% is 8.

Let the number be x

80%x =8

This forms an equation in one variable which can be solved by transposition.

[tex]80x/100=8[/tex]

On multiplying 100 both sides,

[tex]80x=800[/tex]

On dividing 80 both sides,

x=10

Thus,  80% of 10 is 8.

Learn more about percentage, here:

https://brainly.com/question/16797504

#SPJ6

Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.

Answers

Answer:

31/90 is the prob.

Step-by-step explanation:

sorry if this is incorrect :9

ty for reading :9

ralph and edie each solved the equation (x-7)^2 - 100 = 0. ralph says the correct answer is x= -3. who is correct? how do you know?

Answers

Ralph is correct.
Explanation:
X = -3
(-3-7)^2-100 = 0
You do parentheses first according to PEMDAS so:
-3-7 = -10
(-10)^2-100 = 0
Next, you do exponents
-10^2 or -10 * -10 = 100
Finally, you subtract
100-100 = 0

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 1),B(3,1), C (3,4) D(-2,4). What is the perimeter of rectangle ABCD?

Answers

Answer:

16 units

Step-by-step explanation:

Rectangle perimeter = width + width + height + height = 2 (width) + 2 (height)

To find the length of one of the sides of the rectangle, I am going to find the distance between points A and B.

The y-xoordinates are the same for A and B, so this is a horizontal line. This means we are measuring the width of the rectangle.

To find the distance, we take 3 - -2 = 5 units

So the width of the rectangle is 5 units.

We can do the same thing to find the height of the rectangle using B and C.

They have the same x-coordinates, so the distance between them will be the difference in the y-coordinates.

4 - 1 = 3, so the height of the rectangle is 3.

Finally, to find the perimeter, we do 2(5) + 2(3) = 16 units

The perimeter of the rectangle is 16 units.

I hope this helps!

how many 1/6 cups are in 1/2 cups?

Answers

Answer:

3/6 cups have a great day!!

I need help with this fast i apericiatte it

Answers

Answer:

13/12

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

remember it's adj/hyp so it would be 36/39. When simplified it becomes 12/13.

A game show contestant cannot spend more than $100 on $0.79 cans of beans and $3.59 boxes of cereal. Which inequality represents the situation, where b is the number of cans of beans and c is the number of boxes of cereal?

Answers

Answer:

i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100

Step-by-step explanation:

the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100

0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys

BRAINLIEST!! PLS HELP
solve 4(3 - 1x)

Answers

Answer:

− 4x + 12

ENJOY...

Step-by-step explanation:

Answer:

12 - 4x

Step-by-step explanation:

Distribute the 4 to both terms within the parentheses:

4(3 - x)

4*3 - 4*x

12 - 4x

This is called the expanded form, while 4(3 - x) is called the factored form of this expression.

Hope this helps!! :)

will someone help me work through this problem, please

Answers

Step-by-step explanation:

Radius (r) = 2 ft

V = 4/3 × 22/7 × (2)³

= 4/3 × 22/7 × 8

= 33.52 ft³

i need help with this​

Answers

Step-by-step explanation:

1. 5 1/4 = 21/4

21/4 ÷ 3/4 = 7/4

2. 7 1/2= 15/2

15/2 ÷ 1/4 = 1.875

3. 3 2/5 = 17/5

17/5 ÷ 2/7 = 0.24

12y = 8x + 29 write in slope intercept form and what is the solution? Show all your work plz help!

Answers

y= 8x + 17 is correct

Solve this equation. Enter your answer in the box
- e- je= -24
e =
I

Answers

e=16 hope it helps :)

Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

TWU is congruent to WUV

Step-by-step explanation:

what is the equation of a line that passes through 4,3 and 2,3

Answers

4x3 and 2x3
That’s the answer
You times then if a comma there
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