What second degree polynomial function f(x) has a leading coefficient of 3 and roots 4 and 1

Answers

Answer 1

Answer: f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

= 3(x² - 5x + 4) ← distribute

= 3x² - 15x + 12


Related Questions

Find the missing value.
Hint: Use the number line to find the missing value.
ad
| +6= -3

Answers

Answer:

need more information

Step-by-step explanation:

Answer:

i would help you but im on the same problem

Step-by-step explanation:

What is y= 4/5x+2 written in standard form?

Answers

Answer:

[tex]-\frac{4}{5}[/tex]x + y = 2

Step-by-step explanation:

Standard Form: Ax + Bx = C

y = [tex]\frac{4}{5}[/tex]x + 2

[tex]-\frac{4}{5}[/tex]x + y = 2

Answer:

4/5x-y=-2

Step-by-step explanation:

standard form

Ax+By=C.

y= 4/5x+2

subtract 4/5x from both sides

-4/5x+y=2

multiply both sides by negative 1

4/5x-y=-2

HELP ME PLEASE I NEED HELP ASAP JUST SOLVE THE EQUATION

Answers

Answer:

x=18

Step-by-step explanation:

I hope this helps I just did mental math so im not sure

f(x)=2/x^2-2x-3
What are the x and y intercepts to this function?

Answers

Answer: f ( x ) = x 2 − 2 \x − 3

Step-by-step explanation:

Which expression is equivalent to 4(x + 3)? O A. 4 + x + 3 O O B. 4x + 3x O C. 4x + 12 D. 4x + 3
answer correctly and get brainiest ​

Answers

Answer: c

Step-by-step explanation:

What is range, domain, and is this graph a function?

Answers

Answer:

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

2(c + 8) = - 12 find the value of c

Answers

Answer:

c= 14

Step-by-step explanation:

hope this helps

What is the simplified form of the fraction below?

8/48
A.
1/4
B.
1/6
c.
1/3
B.
1/8
D.

Answers

Answer:

b

Step-by-step explanation:

B. 1/6; bc 48 divided by 8 is 6

Factor GCF expression 24x^2+8x

Answers

Answer:

8x (3x+1)

Step-by-step explanation:

8x is the gcf of 24x^2 and 8x.


5. Miguel took 32 comic books to his friend's house. This is 40% of his total
collection of comic books. How many total comic books does Miguel have
in his collection?
A
80
B. 22
C 60
0.45
What is the correct linswer? (Select]

Answers

The correct answer is A) 80

b) The sum of the ages of the father and son is 44 years. After 8 years, the age of
father will be twice the age of the son. Find their present ages,​

Answers

Let the present age of father = x years

and the present age of son = y years

according to the first condition

x + y =44 ........(i)

according to the second condition

x+8 = 2(y+8)

or x+ 8 = 2y + 16

or x- 2y = 8 ............(ii)

solve the equation (i) & (ii) we get

x + y =44

x- 2y = 8

••••••••••••••••••••••••

3y = 36

or y = 12

put the value of y in equation (i), we get

x + 12 =44

or x = 32

so the present age of father = x =32 years

and the present age of son = y = 12 years.

Hope it helps you please mark as brainlist

What is the Y and x intercept of 9X-6Y= 72

Answers

Answer: The y-intercept is -12

The x-intercept is 8

Step-by-step explanation: Factor out 3

Divide all by 3 to simplify.

9x - 6y = 72 is equivalent to

3x - 2y = 24

At this point, you can substitute 0 for x and solve for y

3(0) -2y = 24. -2y/-2 = 24/-2

y = -12

And substitute 0 for y and solve for x.

3x -2(0) = 24. 3x/3 = 24/3

x = 8

OR Change to slope intercept form:

y = mx + b. b is the y intercept.

-2y = -3x + 24. Solve for y.

Divide all by-2

y = 3x/2 - 12.

The y-intercept is -12

To find the x-intercept, substitute 0 for y and solve for x.

0 = 3x/2 -12 Add 12 to both sides.

12 = 3x/2. Multiply both sides by 2/3

8 = x

The x-intercept is 8

Which of the following rules describes the function graphed below

A) output = input
B) Output = 2•Input - 1
C) Output = Input + 2
D) Output = 3 • Input - 2

Answers

answrr d
-3x#################################

Select the slope-intercept form of an equation for a line with y-intercept -2 and slope 6.

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

slope intercept form is y = mx + b

m = slope

b = y-intercept

They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation

y = mx + b

y = 6x - 2

Who do you think killed Jody Woah??

Answers

Answer:

who is he?

Step-by-step explanation:

Sorry don’t know this one

(-9, -6) and (3, -9) I keep getting my answer right but it is saying it's not the right answer so I need help-

Answers

Try putting it in a different order

What allowed an inland city like London to become a great shipping port?
A) The finance, insurance, and tourism industries are on the rise.
B) Scotland lies to the North, and Wells lies to the West.
C) the surrounding coastal plain drains directly into a fjord.
D) the Thames river is an estuary

Answers

Answer: D) The Thames River is an Estuary

I hope this helps, and stay safe!!! :)

For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What was the price for one student ticket

Answers

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

Explain whether 11t - 3t is equivalent to 3t - 11t. please help

Answers

It is not.

There are two ways to deal with this.

First is to separate them into expressions.

11t - 3t is made up of 11t and -3t

3t - 11t is made up of 3t and -11t

As you can see the negative sign are different from each expressions, therefore they are different.

Another way to see it is to solve them.

11t - 3t = 8t

3t - 11t = -8t

The answers are not = so they are not equivalent to each other.

Which of the following is not an integer?

0

9
-13

Answers

All of them are integers.

5) Find the value of x (pic below)
A. 90 degrees
B. 135 degrees
C. 60 degrees
D. 45 degrees

Answers

The answer is D! Hope this helps!

What's the depth of 5cm

Answers

Answer:

what?

Step-by-step explanation:

Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the total number of albums she has remaining, and x, the number of storage units Vanya owns?
a.y = 16x
B.y = 16x + 3
C.y = 13x
D.y = 16x – 3

Answers

Answer:

d

Step-by-step explanation:

vintage gave her cousin 3 albums when she had 16

so y=16x-3.

PLEASE HELP,, MARKING BRAINLIEST!!!

Solve for x, show work if possible :)

Answers

x over six and 8 over 10. this is the important part. 6/x and 8/10. multiply x by 8 and 6 by 10. then divide 60/8 and your answer will be 7.5 :)

Please help i will give brainliest and show your work

Answers

Answer:

725.95

Step-by-step explanation:

The parallelogram is shown below I have an area of 135 units. Find the missing base

Answers

Answer:

9

Step-by-step explanation:

The area of a parallelogram is base * height.

The area is given as 135

The height is given as 15

You do not need to use 17

Area = base * height       Substitute

135 = base * 15                Divide by 15 on both sides

135/15 = base*15/15

base = 9  

I need help asap pleaseee

Answers

Answer:

x = 3 and 1/3

Step-by-step explanation:

First, get the interior angle of the 114 by subtracting 114 from 180, and you should get 66. Next, add the two known interior angles of 66 and 64 to get 130. With the knowledge that the 3 interior of all triangles add up to 180, you should know that 3x-40 is equal to 180 -130, or 50. With 3x+40 = 50, start by subtracting 40 from both sides for 3x = 10. Finally, divide both sides by 3 to get x = 3 and 1/3

Joseph’s lunch at the diner costs $15 without tax. He left the waiter a 21% tip. What was his total cost of the lunch, including tip, without tax?

Answers

Answer:

18.15

Step-by-step explanation:

21% of 15 is 3.15 so 15 plus 3.15 = 18.15

Find the answer to 120% of 150

Answers

Step-by-step explanation:

180

hope it helps!

........

I need help asap I'll give brainliest

Answers

Answer:

Step-by-step explanation:

around 100*

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