The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the quadratic polynomial in standard form.​

Answers

Answer 1

Step-by-step explanation:

Since the zeroes of f(x) are -2 and 6,

(x + 2) and (x - 6) are factors of f(x).

=> f(x) = (x + 2)(x - 6) = x² - 4x - 12.

Answer 2

Answer:

The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1.

(x+2) and (x-6) are the factors of f(x)

[tex]f(x) = (x + 2)(x - 6) \\ = {x}^{2} - 6x + 2x - 12 \\ = \boxed{{x}^{2} - 4x - 12}[/tex]

(x²-4x-12) is the right answer.

Related Questions

(7x −4 y 15 )(4x 14 y −3 )

Answers

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

Simplify the expression. 12x + 9 - 3X -4​

Answers

9x+5 is the simplified version. Hope this helps!

please help!!!!! :(((

Answers

Answer:

tho im very confused what 1.25 means. im pretty sure its 1 1/4

Before beginning voice lessons, Wanda already knew how to sing 19 pieces, and she expects to learn 1 new piece during each week of lessons. After 12 weeks of voice lessons, how many pieces will Wanda be able to sing, in total? ​

Answers

Answer:

19+12 = 31 pieces

Step-by-step explanation:

A skating rink sold tickets for Friday Night's show. Of the 66 tickets sold 2/3 were adult tickets and 1/3 were children's tickets. What is the total number of adult tickets sold? ​

Answers

The number of aduir tickets sold was 44. If 2/3 of the ticket is 66 and 1/3 of the tickets is 1/3, you’ll know that by diving 66 with 3 you find the answer for the children’s ticket. 66 divide 3 is 22. But how do you find the adults ticket? Well if the rest are all adults which it is then you find the left overs. 66-22=44 and the answer will be 44. 1/3 of 66 is 22 and 2/3 of 66 is 44.

the equation y=2x-1 is the boundary line for the inequality y>2x-1. which sentence describes the graph of the inequality?
A: the region shaded above a dashed boundary line
b: the region shaded above a solid boundary line
c: the region shaded below a solid boundary line
d: the region shaded below a dashed line

Answers

Answer: A

Step-by-step explanation:

The region shaded above a solid boundary line is considered. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line is given below.

y = 2x - 1

y > 2x - 1

Combine the equations. Then we have

y ≥ 2x - 1

The graph of the line is given below.

The region shaded above a solid boundary line is considered. Then the correct option is B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

What is the equation of this graph? Pre-calc semester B PLATO

Answers

Answer:

D

Step-by-step explanation:

The other ones don’t match up to the graph

14. Given: trapezoid WXYZ with midsegment ST. If WZ = 15 and ST = 20, find the length
of XY.

A. 10
B. 25
C. 5
D. 35

Answers

Who’s doing school on a Sunday

s is inversely proportional to t . When s = 0.6 , t = 5 Work out s when t = 0.3

Answers

Answer:

s = 10

Step-by-step explanation:

Given s is inversely proportional to t , then the equation relating them is

s = [tex]\frac{k}{t}[/tex] ← k is the constant of proportion

To find k use the condition when s = 0.6, t = 5

0.6 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

3 = k

s = [tex]\frac{3}{t}[/tex] ← equation of proportion

When t = 0.3, then

s = [tex]\frac{3}{0.3}[/tex] = 10

Consider the line with a slope of -1 through the point (-1,3).What is the y-intercept (b) of the line​

Answers

Answer:

y = -x + 2

Step-by-step explanation:

slope = -1 ;  (-1 , 3)

Equation: y - y1 = m (x - x1)

y - 3 = (-1)(x -[-1])

y - 3 = (-1) (x + 1)

y - 3 = -x - 1

    y = -x - 1 + 3

   y = -x + 2

Answer:

y=-x+2

Step-by-step explanation:

x – 15 = 60
What is the answer

Answers

x=75 is your answer

Answer:

x=75

Step-by-step explanation:

help plsssssssssssssss

Answers

Answer:

The golf ball is 2 times as likely to be orange as it is to be pink

Step-by-step explanation:

Anyways, i hope this is right and i hope i helped!

Find the area of all shaded regions. Give your answer as a completely simplified exact value in terms of pi. (no approximations)

Answers

To find the area of the shaded region, you first use the equation A = πr²

The radius of the circle is 9 cm. So A = π(9²)

A = 3.14 (81)

A = 254.34 (entire circle)

The entire circle is 360°

and 4.5 of the 80°'s will equal 360°

254.34 ÷ 4.5 = 56.52

ANSWER: 56.52 cm²

Answer:

56.55 cm^2

Step-by-step explanation:

Since a circle is 360 degrees and the piece is 80 degrees, the shaded area is 4.5 of the total area of the circle (9/2). Find the area of the circle:

[tex]\pi r^{2}[/tex]

[tex]\pi 9^{2}[/tex]

[tex]\pi 81[/tex]

[tex]254.47/4.5[/tex]

56.55 cm^2

What is the slope of the line shown in the graph?
-undefined
-3/2
- -3/2
- -1/2

Answers

Answer:

2/3

Step-by-step explanation:

At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the following expressions does NOT represent the sale price of the notebooks?

Answers

Answer:

I Think Its D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3+-2+6
7-8-3

Evaluate the expressions using the rule of PEMDAS and integers

!!!!!!!!!HELP OVER HERE!!!!!!!!

Answers

Answer:

Step-by-step explanation:

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

2). 4 × (3 + - 3)  [Parenthesis]

   = 4 × (3 - 3) [subtraction]

   = 4 × 0 [Multiplication]

   = 0

3). 24 ÷ (-4 + 12) + 2² [Parenthesis]

   = 24 ÷ (8) + [Exponents]

   = 24 ÷ 8 + 4 [Division]

   = 3 + 4 [Addition]

  = 7

PLEASE SOMEONE DO THIS QUESTION FOR ME ASAP!! GIVING BRAINLIEST

Answers

Answer:

5:15

Step-by-step explanation:

my phone is cracked and i can’t see the question, sorry!

Needs help fast, I can’t get the right answer

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The ratio of any corresponding coordinates will give the scale factor.

Using the x-coordinates of C' and C, we have ...

  scale factor = C'/C = 4/6 = 2/3

The dilation scale factor is 2/3.

geometry:(
*image shown above*

Answers

Answer:

c = 44

Step-by-step explanation:

Which ordered pair is a solution of the equation? y +1 = 3(x – 4)​

Answers

Answer:

Y=-1

X=4/3

Step-by-step explanation:

Which is an equation of the line that passes through the points (-4,-2)
and (4, 2)

Answers

Answer: y = one half x

                     

if the slope is 20 and the y intercept is 0,1 what is the equation

Answers

Answer:

[tex]y = 20x + 1[/tex]

Step-by-step explanation:

The format for the equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

You have that information already, so we can just plug it in.

[tex]y = 20x + 1[/tex]

I'm assuming 0,1 means (0, 1) as in a coordinate. If you meant a decimal, 0.1, adjust accordingly.

Answer:

y=20x+1

Step-by-step explanation:

The sum of 25 and twice a number is 75. Find the number.

Answers

Answer:

50

Step-by-step explanation:

25*2= 50+25= 75

Answer:

25

Step-by-step explanation:

75-25=50/2=25

Someone help meeee??? Pleaseeee

Answers

Answer:37

Step-by-step explanation:

(5x7)+2

35+2

=37

I need help with a question that has to do with Ratio and Proportion. I want to know how to do it, not just only the answer.

Answers

Answer:

y is = 15

please mark me as brainest

Which costs the most per ounce, 60 oz. of peanut butter for $5.40, 28 oz. for $2.24, or 16 oz. for
$1.76? Explain how you got your answer.

Answers

13.13,,,,explanation 5.25 x 100/40 is 13.125 which rounds up to 13.13

f is inversely proportional to √ g . When f = 10 , g = 121 Work out g when f = 11

Answers

Answer:

Hope the attached helps!

Step-by-step explanation:

Section 1
Decide which is TRUE for b. when b = 16.
To get to her parents' house, Helen would have to drive due north 16 kilometers. To get to her grandparents' house, she would
have to drive due east 12 kilometers. What is the straight-line distance between the parents' and grandparents' houses?
kilometers

Answers

Answer:

for points

Step-by-step explanation:

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.
y = -5x2 - 4x + 6
a. (2, 6.8)
C. (0.4, 6.8)
b. (-0.4, 6.8)
d. (-0.4, 5.2)

Answers

Answer:  (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = [tex]\left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6[/tex]

y = 6.8

Answer: b. (-0.4,6.8)

Step-by-step explanation:

Amy and Roger both wash windows at a large downtown building. Amy can wash 25 windows In 4 hours, Roger can wash 32 windows in 6 hours. How many windows can they wash together in 12 hours? [Type your answer as a number.)​

Answers

Answer:

139 windows

Step-by-step explanation:

you multiply the 25 by 3 because Amy washes 25 windows per 4 hours and 3x4 is 12 so that would be 75 then you multiply the 32 by 2 because 6x2 is 12 so that would be 64 then you add the 64 and 75 which would give you 139 windows for both of them in 12 hours

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