write a quadratic function in the given form whose graph satisfies the given condition.
passes through (-4, 0), (2, 0), & (6, -20) in intercept form.
pls dont just steal points away...i rly need help with this...can you provide work to if not thats ok

Answers

Answer 1

Answer:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Step-by-step explanation:

We want to find a quadratic that passes through the points:

[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]

In intercept form.

First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts, and a is the leading coefficient.

So, we will substitute -4 and 2 for p and q:

[tex]y=a(x-(-4))(x-(2))[/tex]

Simplify:

[tex]y=a(x+4)(x-2)[/tex]

Next, the third point (6, -20) tells us that y = -20 when x = 6. So:

[tex](-20)=a(6+4)(6-2)[/tex]

Solve for a:

[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]

Thus:

[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]

Hence, our equation in intercept from is:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]


Related Questions

Correct answer and detailed explanation pls!!!

Answers

Answer:

Step-by-step explanation:

Answer:

-15 < x

Step-by-step explanation:

These two triangles are similar. Find the value of x.
4.5
6
Х
4
7.5
an
5

Answers

Answer:

The value of x is 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

4.5/7.5 = x/5

5 * 4.5 = 7.5 * x

x = (5 * 4.5)/7.5

x = 3

Solve this system of equations: (picture is there)


List the solution (x,y) for this set of systems of equations and then explain how you found the solution.

Answers

Step-by-step explanation:

[tex](x...y = (2...4)| [/tex]

Answer:

x = 2, y = 4

Step-by-step explanation:

We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)

Replace the y value in [x = -y + 6] with "2x", because y = 2x.

x = -2x + 6

From there, we can solve the linear equation.

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

From x, we can also figure out what y equals.

Replace the x value in [y = 2x] with "2", because x = 2.

y = 2*2

y = 4

x = 2 and y = 4

Which of the following has the greatest value? 11OI ООО -1-141 1-121 D 18I​

Answers

Answer:

d

Step-by-step explanation:

18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. The system of equations can be used to determine how many of each item they bought.

Answers

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

Simplify-: 5^2 * 2^3

Answers

Answer:

33

Step-by-step explanation:

5^2+2^3

25+2^3

25+8

33

y = 2x - 4 y = x + 1

Solve using substitution. ​

Answers

Step-by-step explanation:

heres tue answer. hope that helps

Answer:

x=5,y=6

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

HELP ASAP!!!!!

An equation is shown.
3^m x 3^n = 3^-3
What are possible values for m and n?
m =
n =
Show work too pls

Answers

Answer:

3^m x 3^n = 3^-3

All values for m and n, when m+n= -3.

m=1,n=-4;m=-1,n=-2......

Step-by-step explanation:

2 Questions for Math ! Please Help :) 1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X What is the value of X and what are the measures of angles A,B, and C? 2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

What is the solution to the equation = 25?

x = 5
x = 10
x = 25
x = 125

Answers

Answer:

x=125

Step-by-step explanation:

To solve we must find a number that when divided by 5 equals 25.

To do this we can either...

Take each answer choice and plug in the value into the x spot and see if it works...

5/5=25  WRONG

10/5=25 WRONG

25/5=25 WRONG

125/5=25 CORRECT!

ORRR... we can set the equation so that the x is alone on one side.

To do this we can multiply both sides by 5

[tex]\frac{x}{5}[/tex]=25 ---> x=25×5

x=125

Answer:

I use ignitia too! ANd the other person is correct, i think..

Step-by-step explanation:

What is the range?
981356 mean and median

Answers

Answer:

mean: 15

median: 14

mode: 13

range: 8

SOLVE !!!!!!!!!!!!!!!!!!!!!

9/ (-3) + 6 x 2 – 7
SHOW YOUR WORK

Answers

Answer:

Step-by-step explanation:

9/(-3)+6x2-7

9/-3 = -3,

6 x 2 = 12,

-3 + 12 = 9,

9-7 = 2

Answer:

2

Step-by-step explanation:

9/(-3)+6*2-7

-9/3+6*2-7     simplify 9/3 to 3

-3+6*2-7

-3+12-7

9-7

2

Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.

Natalie is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client,
charging a total of $239. Today, she did 2 haircuts and colored the hair of 1 client, charging a
total of $192. How much does Natalie charge for her services?


Natalie charges $___
for a haircut and $__
for a coloring

Answers

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

The volume of the geometric figure below is _______ cubic ft

Answers

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

Answer this shi



zzzzzzzzzxxxxx

Answers

Answer:

70 degrees

Step-by-step explanation:

REMEMBER THAT THE RISE TESTS DO NOT GO TOWARDS YOUR GRADE, THEY ARE ONLY FOR THE SHOOLS TO SEE HOW WELL THEY ARE TEACHING YOU.

Answers

Remember that the Rise tests are only for your state. Different states have different tests. My state has the Peaks test.

Yes indeed they are. Thanks for the reminder!!

1,346.275 round to the nearest whole number

Answers

Answer:

1,346

Step-by-step explanation:

HELP ASAP, WILL MARK BRAINLEST

Answers

Answer:

4/6

Step-by-step explanation:

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
What is the equation of the line parallel to the given line with an x-intercept of 4?

y =
x =

Answers

Answer:

1st: 4

2nd: -16

Step-by-step explanation:

Trust the process

The required equation of the parallel line is 4x + y = 16.

Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16

Thus, the required equation of the parallel line is 4x + y = 16.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

A sequence can be generated by using an=5an−1, where a1=2 and n is a whole number greater than 1.

What are the first 3 terms in the sequence?


2, 7, 12

2, 10, 50

5, 7, 9

5, 10, 20

Answers

Answer:

2nd option

Step-by-step explanation:

Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

the first 3 terms are 2, 10, 50

The first three terms of the given sequence are 2, 10, 50

What is sequence?

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,

We need to find the first three terms of the sequence,

Therefore, aₙ₋₁ = 5 and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

Therefore,

The first 3 terms are 2, 10, 50

Hence, the first three terms of the given sequence are 2, 10, 50

Learn more about sequence, click;

https://brainly.com/question/30262438

#SPJ3

The tree diagram shows the sample space of rolling a cube with faces numbered 1–6 and flipping a fair coin. What is the probability of rolling the number 5 and the coin landing heads up?

Answers

Answer:

It’s C 1/12

Step-by-step explanation:

Can someone help me!?

Answers

Answer:

1. Area: 5963

2. Permiter: 312

3. perminter

4.Area

Step-by-step explanation:

Hi :D

Someone help me with these pls?

Answers

Answer:

Step-by-step explanation:

18 : 63

Both have 9 in common

2 : 7

Option C is the correct answer

Option F is the correct answer

Please help. Please refer to the picture I really need to finish this.

Answers

Answer:

20cm^3

Step-by-step explanation:

The figure is composed by two parallelepipeds

first one

base area = 2 x 1 = 2 cm^2

height = 3 + 2 = 5 cm

V = base area x height

V = 2 x 5 = 10cm^3

second one

base area = 2 x 1 = 2 cm^2

height = 7-2  = 5 cm

V = 2 x 5 = 10 cm^3

total volume = 10 x 2 = 20 cm^3

What is the image of the point (-2, 4) after a rotation of 270° counterclockwise
about the origin?

Answers

(4, 2) the formula for 270 rotation counterclockwise is (y,-x)

How would you begin to plot the ordered pair ( 6,2)?

Answers

Step-by-step explanation:

start with x which is 6

then plot it

then do y which is 2

and plot

Answer:

Make a grid and put your order pair in the graph

because you would take 6,2 and on the grid go up to 6 and down all the to 2 i hope i helped!

Step-by-step explanation:

Ryan is a construction worker and is about to put a roof on a new house. He has to measure the front of the roof which is in the shape of a triangle. He finds out the height of the triangle is 12ft and the base of the triangle is 24 feet. How many square feet of wood does he need to purchase to cover the front of the roof?

Answers

Area of the triangle=1/2*base*height

height=12ft

base=24 ft

1/2*12*24

=144sq.ft is the area

He needs to purchase 144 sq.ft of wood to cover the front roof

Debera earns $350 a month. She saves $28 a month. Savings is what percent of her income?

Answers

We can find percent by dividing savings by total earned. 28/350=8%

8%

--------------------

The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How many halves do you have?How can you use halves to name the fold lines?

Answers

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.

I have the answer I just have this one question. Will all the paint fit into the bucket?


There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?

Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answers

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

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