If a quadratic has a maximum at (4, 2) with roots at (2,
0) and (6, 0), what is a possible equation?

Answers

Answer 1

Answer:

g(x) =  - 1/2 * (x^2 - 8x + 12)

Step-by-step explanation:

Given the information, you have provided.

Zeros: (2,0) and (6,0).

Maximum: (4,2) which is also your (h,k)

f(x) = - (x - 2)*(x - 6)

g(x) =  - 1/2 * (x^2 - 8x + 12)


I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.

The red graph is f(x) = - (x - 2)*(x - 6)

The blue graph is your answer g(x) =  - 1/2 * (x^2 - 8x + 12)

If A Quadratic Has A Maximum At (4, 2) With Roots At (2,0) And (6, 0), What Is A Possible Equation?

Related Questions

A second function h is defined by h(x) = -3x + 8,
Select the correct phrase in the drop-down menus below to complete the sentence.

Answers

The second function is a linear function

The second function has a slope of -3 and a y-intercept of 8

How to interpret the function?

The function is given as:

h(x) = -3x + 8

The above function is a linear function.

A linear function is represented as:

y = mx + b

Where:

m represents the slope and b represents the y-intercept

By comparison, we have:

m = -3 and b = 8

Hence, the second function has a slope of -3 and a y-intercept of 8

Read more about linear functions at:

https://brainly.com/question/14323743

What is the area of the polygon?

Answers

Answer:

The answer is 34 m^2

Step-by-step explanation:

Well, we can divide the Polygon into pieces and solve the area for each piece.

There will be a rectangle and a trapezoid.

Area of Rectangle: Area = Length * Width

Area = Length * Width

Area = 6 m * 3 m = 18 m^2

Area of a Trapezoid: Area = [tex]\frac{h*(b1+b2)}{2}[/tex]

[tex]A=\frac{h*(b1+b2)}{2}\\A=\frac{4*(6+2)}{2}\\A=\frac{4*8}{2} \\A=\frac{32}{2} \\A=16 m^2[/tex]

Total Area = 16 m^2 + 18 m^2 = 34 m^2

Write the standard form equation of each circle.

Center: (-11, -8) Radius: 4

Center: (-6, -15) Radius: square root of 5

Answers

Answer:

(x+11)^2 + (y+8)^2 = 4^2/16

(x+6)^2 + (y+15)^2 = 5

Step-by-step explanation:

the standard equation of a circle is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

in the first equation -11 is h and -8 is k

so (x+11)^2 because when you subtract a negative the double negative creates a positive and that’s the same for (y+8)^2

so (x+11)^2 + (y+8)^2 = 4^2 or 16

in the second equations -6 is h and -15 is k

and the double negative is also effective in this equation so (x+6)^2 and (y+15)^2 therefore, (x+6)^2 + (y+15)^2 = 5 (the square root of 5 squared is just 5)

hope this helps :)

The segments are tangents to the circle. Find the perimeter of JLNQ.

Answers

Answer: 28

Step-by-step explanation:

Which net represents this solid figure?
Please help, so that I'll get a 100%​

Answers

the one u originally clicked (in yellow) is correct. all sides match perfectly with the figure.

Isabella notices that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour
she studies, on average she scores an additional 7 points. Which of the following represents G, her average test score when
she studies for h hours?
OA 7+45h=G
OB. 7-45h= G
OC 45 - 7h=G
OD. 45 + 7h= G

Answers

Answer: D

Her test score is higher PER every hour she studies.

arc GT = 18 degrees, arc TA =32 degrees, arc NA =112 degrees, arc IN = 74 degrees. find measure of angle GET

Answers

Answer:

Step-by-step explanation:

What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1

Answers

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

Answer:

5 - 3i

Step-by-step explanation:

Real numbers are a subset of the complex numbers. Therefore it would only make sense that the complex numbers follow the same rule of additivity and multiplication as real numbers do:

[tex](2+4i)+(3-7i)=2+3+4i-7i=5-3i[/tex]

on eduardo workbench are the following paint cans.
3 cans of red paint
5 cans of blue paint
8 cans of green paint
4 cans of yellow
eduardo will randomly choose one can of paint. what is the probability that he will choose a can of red paint or can of blue paint.

Answers

Answer:

likely to chose blue and unlikely to chose red

Step-by-step explanation:

Answer:

8/20

Step-by-step explanation:

P(R)orP(B)=P(R)+P(B)

=3/20+5/20

=8/20

The dot plot shows the mass, in grams, of several substances in an experiment.





How many substances has their mass recorded during the experiment?

Enter the answer in the box.


substances
A number line ranging from 60 to 68 with four dots over 64, one dot over 65, two dots over 66, two dots over 67, and four dots over 68.

Answers

Answer:

The answer is 13. Just count the dots.

Step-by-step explanation:

Answer:13

Step-by-step explanation:

bc i said so

solve for x x + 21 = -2x

Answers

Answer

-7

Step-by-step explanation:

x + 21 = -2 x

-x          -x

21 = -3 x

---    -----

-3      -3

-7 = x

What is the measure of angle z in this figure?



Enter your answer in the box.

z =
°

Answers

Answer:

z = 137°

Step-by-step explanation:

[tex]z^{o} =(180-43)^{o} =137^{o}[/tex]

Hope this helps


???help????????imfailing

Answers

Answer:

Hi nice girl follow me I love you

Find P(A') given that P(A) = 0.05

Answers

Answer:

0.95

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.05 = 0.95

I need this answered please

Answers

Answer:

The correct answer is 250/3phi m3

Look into the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Please help me with this. I'm not that smart​

Answers

Answer:

1.fireworks conjunction

2.michelle disjunction

3. Watch conditional

Step-by-step explanation:

Michelle orders soup, or she orders salad; an example of disjunction combining 2 sentences with the word or.

The fireworks were loud and colorful; An example of conjunction which combines two statements with the word And

If the watch is broken, then it it showing the wrong time; An example of a statement with if then scenario.

which function is graphed?

Answers

Answer:

The answer is C

Step-by-step explanation:

the left graph end in x<2 and the right one in x≥2

Question 9 need help with

Answers

hi!
the slope is 5/11.

the slope formula is (y2-y1)/(x2-x1). we can make (-14,10) the first pair of points and (-3,15) the second.

plug in those values into the slope formula.

(y2-y1)/(x2-x1) = (15-10)/(-3-14) = 5/11.

and there you have it : 5/11 as your answer! hope this helps :)

I need help on 12&14 please!! Even if you can only answer one

Answers

Answer:

Question 12

Luisa's annual contributions:

Group Med = 25% of $12,988
(as employer pays 75%)Dental = $980Vision = $324

25% of $12,988

= 0.25 × $12,988

= $3,247

(a)  Total annual contribution:

= Group Med + Dental + Vision

= $3,247 + $980 + $324

= $4,551

(b) Bi weekly deduction:

= $4,551 ÷ 365 × 14

= $174.56

OR

= $4,551 ÷ 52 × 2

= $175.04

**It depends how you calculate biweekly - if you divide the annual amount by 365 days then multiply by 14, OR if you divide the annual amount by 52 weeks then multiply by 2**

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

Question 13

Boris' annual contributions:

HMO = 10% of $8,190
(as employer pays 90%)Dental = 50% of $662Vision = 50% of $288

HOM - 10% of $8,190:

= 0.1 × $8,190

= $819

Dental - 50% of $662:

= 0.5 × $662

= $331

Vision - 50% of $288:

= 0.5 × $288

= $144

Total annual contribution:

= HMO + Dental + Vision

= $819 + $331 + $144

= $1,294

Weekly deduction:

= $1,294 ÷ 365 × 7

= $24.82

OR

= $1,294 ÷ 52

= $24.88

**It depends how you calculate weekly - if you divide the annual amount by 365 days then multiply by 7, OR if you divide the annual amount by 52 weeks**

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

Question 14

Annual contributions:

PPO = $12,640Dental = $866Vision = $444

Total annual contribution:

= $12,640 + $866 + $444

= $13,950

Quarterly payments:

= $13,950 ÷ 4

= $3,487.50

Kim bought 2 dozen chairs for a party. She placed them in 8 groups. How many chairs were in each group?

Answers

Answer: 3

Step-by-step explanation: 2 dozens is 24.

Divide 24 by 8 =3

place a check mark in the box next to each set of lengths that could be the sides of a triangle. Select all that apply

Answers

Answer:

This question has no content for me to answer, Iwant the points so I will be taking them anyway Thankyou. Also may I please have brainliest on the only 2 questions you asked.

Step-by-step explanation:

the answer is C. triangle

Answer:

in future please attach photo of question aswell :]

Step-by-step explanation:

unfortunately you haven't provided the neccasary context to answer. with no idea what the boxes might be or what the triangles look like i cannot give an educated response.

8 + 40 + 200 + ... + 15625000
Sum of a finite geometric series:
Sn=a1-a1r / 1-r

Answers

Answer:

19,531,248

Step-by-step explanation:

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the first term and [tex]r[/tex] is the common difference)

Given geometric series:   8 + 40 + 200 + ... + 15625000

[tex]\implies a_1=8[/tex]

[tex]\implies a_2=40[/tex]

[tex]\implies a_3=200[/tex]

To find the common ratio [tex]r[/tex], divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{40}{8}=5[/tex]

Therefore:

[tex]\implies a_n=8(5)^{n-1}[/tex]

To find n when [tex]a_n=15625000[/tex] :

[tex]\implies 8(5)^{n-1}=15625000[/tex]

[tex]\implies (5)^{n-1}=1953125[/tex]

[tex]\implies \ln (5)^{n-1}=\ln1953125[/tex]

[tex]\implies (n-1)\ln 5=\ln1953125[/tex]

[tex]\implies n=\dfrac{\ln1953125}{\ln5}+1[/tex]

[tex]\implies n=10[/tex]

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 10 terms:

[tex]\implies S_{10}=\dfrac{8(1-5^{10})}{1-5}[/tex]

[tex]\implies S_{10}=19,531,248[/tex]

The volume of a hemisphere that has a radius of 8centimeter to the nearest tenth.



Answers

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V-\cfrac{1}{2}\cdot \cfrac{4\pi (8)^3}{3}\implies V=\cfrac{1024\pi }{3} \\\\\\ V\approx 1072.3 \end{array}[/tex]

Can you answer these for me?

Answers

Answer:

27, 5, 2

Step-by-step explanation:

This is really simple lol.

a. Simple Math terms

43 subtracted by 16 equals 27.

Let's do 46-16 which equals 30.

Subtract 3 from 30.

43-16=27.

a. Mathematical

43-16 = . . .

13 - 6 = 7

Subtract the 1 from 4.

3 - 1 = 2

43-16=27.

b. Simple Math terms

67-14=53

7-4 = 3

6-1=5

c. Simple Math terms

6-4=2

determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio. -29, -34, -39, -44, -49, ...

Is this: common difference =5?
arithmetic?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{-34 - (-29) = -5 } [/tex]

[tex] \textsf{-39 - (-34) = -5 } [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of -5} [/tex]

Sequence: -29, -34, -39, -44, -49, ...

First we need to identify the terms:

1st term = -292nd term = -343rd term =  -394th term = -445th term  = -49

If the sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If the sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ x \ third \ term} }}[/tex]

=======================================

Check for arithmetic

[tex]\rightarrow \sf -34 = \sf \dfrac{-29 +(-39)}{2}[/tex]

[tex]\rightarrow \sf -34 = \sf \dfrac{-68}{2}[/tex]

[tex]\rightarrow \sf -34 = -34[/tex]       [Hence it's arithmetic series]

To find common difference. we have to think of how to go to next term.

first term: -29

to go the second term, subtract by -5

-29 -5 = -34, second term

-34 - 5 = -39, third term

Hence, common difference: -5

Solutions:

Arithmetic Sequence

Common Difference: -5

Write an equation of the line with a slope of 0 and y -intercept of 5 .

y =

Answers

Answer:

y = 5

Step-by-step explanation:

The equation for a line is y = mx + b, with m representing slope and b representing y-intercept.

This yields an equation y = 0x + 5, or just y = 5 when simplifying.

When m = 2 and p = one-fourth, j = 32. if j varies directly with m and inversely with p, what is the constant of variation? 4 16 64 256

Answers

Answer:

the constant of the variation is 4

Answer:

a. 4

Step-by-step explanation:

did it

Thell me the answer 5x=25 what is x

Answers

Answer:

5x=25
25/5=5
Therefor x =5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

5x=25

Divide the 5 on both sides.

and you're left with x=5.

The dance committee hired DJ Emanuel for the fall
dance. DJ Emanuel charges $I25 per hour plus $55 for
an assistant. The committee wants to keep the total
cost under $600. What is the maximum number of
hours that DJ Emanuel can play at the dance?

I need the inequality, inequality answer, final answer

Answers

Answer:

Inequality:  125x + 55 < 600

Solution of inequality: x < 4.36

Final answer: 4 hours

Step-by-step explanation:

Let the number of hours be x.

1 hour costs $125.

2 hours cost $125 × 2

3 hours cost $125 × 3

x hours cost $125 × x or simple 125x.

The assistant costs $55.

The total cost is 125x + 55.

The cost must be under $600, so

125x + 55 < 600

Subtract 55 from both sides.

125x < 545

Divide both sides by 125.

x < 4.36

In theory he can be hired for any amount of hours under 4.36 hours, but he probably works only full hours, so you need to round down to 4 hours.

4 hours

PLEASE HELP ME WITH THE BOTTOM TWO OMG

Answers

Answer:

Standard Deviation, σ: 8.9580641647762

Step-by-step explanation:

i used a calc for the first one

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