9. What is the vertex of the function? f(x) = 3x² - 8x + 10​

Answers

Answer 1

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

[tex]Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.[/tex]

Calculate -b/2a:

[tex]X = -(-8)/2(3)[/tex]

[tex]X = 8/6[/tex]

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

[tex]Y = 3x^{2} - 8x + 10[/tex]

[tex]Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10[/tex]

[tex]Y = \frac{48}{9} - \frac{64}{6} + 10\\[/tex]

This is equal to 4.66 reccuring.


Related Questions

If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?

Answers

The lines intersect at (x,y) = (6,2)

This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

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]

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.

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.

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.

Explain what the acronym PEMDAS means and how you use it when evaluating expressions.​

Answers

It mean Parentheses-exponents-multiplication/division-addition/subtraction and it is the order you do multi step equations

For all x, (2x + 1)^2= ?

Answers

Answer:not sure but it’s either a b c d e maybe don’t hold me to that

Step-by-step explanation:‍♀️‍♂️‍♀️‍♂️‍♀️‍♂️‍♂️‍♀️‍♀️

Answer: hii :)

E. 4x2+4x+1

Step-by-step explanation:

Expand the expression.

Hopefully this helps you!

- Matthew

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

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

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.

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

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

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

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.

madi sells 23oz cans of jelly beans for 63 cents and 15oz cans for 45 cents. assume that the price varies linearly with the number of ounces.

Answers

7373 siege 683 an end 77) 7 Hbe due 78738 7

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

What is the length of the missing leg? If necessary, round to the nearest tenth

Answers

The answer is 80m
Explanation: a^2+b^2=c^2

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

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

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]

Find the SURFACE AREA of the shape below.

Answers

Answer:

292 CM

Step-by-step explanation:

8x7 = 56 (2 such sides)

6x8 = 48 (2 such sides)

7x6 = 42 (2 such sides)

56(2) + 48(2) + 42(2)=

292

Find the surface area of a box that is 14 inches deep, and 7 inches tall and 7 inches wide

Answers

Answer:

The answer is 686 inches

Step-by-step explanation:

Answer:

The surface area of a box is 686 inches

Step-by-step explanation:

You can do it by muliplying;

[tex]14*7*7=686[/tex]

Give the guy about brainliest!

I already have too many TvT

Hope this helped! :^)

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/14/2022 at 6:37 PM

(To avoid plagarism, by users whom decide to copy.)

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

Jose wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house (-8, -9) and the store (-4,-10). Each unit is equal to one
mile.

Answers

Answer:

You need to go 8 squares to the left and then go 9 square down. (-8, -9)

for the second one you need to go 4 squares to the left and 10 squares down. (-4, -10)

The distance between the coordinates of house and store is D = 17 miles, or about 4.12 miles

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -8 , -9 )

Let the second point be Q = Q ( -4 , -10 )

Now , Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -8 + 4 )² + ( -9 + 10 )²

On simplifying , we get

D = √ ( 4 )² + ( 1 )²

D = √17 units

And , 1 unit = 1 mile

So , √17 units = 4.12 miles

Hence , the distance between Jose's house and the store is √17 miles, or about 4.12 miles

To learn more about distance between 2 points click :

https://brainly.com/question/18234495

#SPJ2

Direction:find the volume of each solid figure below.


Answers

Step-by-step explanation:

9) volum = width× lenght × height

= 2×3×7 = 42 m³

10) = 7³ = 343 cm³

Answer:

Question 9: Volume = 42m

Question 10: Volume = 343cm

Step-by-step explanation:

Volume for a rectangular prism: V = length x height x width

Question 9:

Length = 7m

Width = 2m

Height = 3m

V = (7m) x (2m) x (3m)

V = 14m x 3m

Volume for a cube: V = a^3 → this is the formula since all sides are the same length

Question 10:

Length = 7cm

Width = 7cm

Height = 7cm

V = (7cm) x (7cm) x (7cm)

V = 49cm x 7cm

V = 343

OR

V = a^3 → (7)^3

How do I do number 9?

Answers

Answer:

b

Step-by-step explanation:

There are 8 possibilities

 2 up and 4 up are the up and even moves   ===> 2 out of 8

2/8 = 1/4

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

Answers

Answer: 28

Step-by-step explanation:

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

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]

Need help with system of equation 3 variable.

Answers

Answer:

Here is an example of a systems equation with 3 variables:

x+y+z=2

6x-4y+5z=31

5x+2y+2z=13

Step-by-step explanation:

Using elimination:

x+y+z=2

5x+2y+2x=13

5x+2y+2x=13

- 2x-2y-2z-4

____________

3x=9

x=9

Using substitution:

9+y+z=2

y=z-7

9+z-7+z=2

2+2z=2

z=0

Using substituion again:

9+y=2

y=-7

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Which is part of the process in the formation of hail pellets? They are tossed up and down in clouds. They lose layers of ice and grow smaller. They grow to less than 5 mm in diameter. They form ice crystals directly from water vapor. Help and you get brainliest PLEASE HELP 05.09 You Be the JudgeYou will create a multimedia presentation of a book review for the novel or short story you read for Module 5.View the grading rubric as you complete your assignment. This is your guide to a super submission.Your book review presentation must include: Computerized visuals or digital photos of handmade visuals An audio of you reading your review Write a book review. Be sure to include all the components of an effective review from the lesson: Introduction Body paragraphs that include an explanation of an interesting character, an interesting event, the tone, and the theme of the story Conclusion Visuals: Create visuals by computer or by hand for your book review. You may also choose ready-made images from the web. Please include: Title and author of book Image of the settings Image of the characters Image of your choice Audio: You will record your audio or verbally present your review to an adult. Focus on these five audio features: Preparation: Your presentation should be rehearsed so it flows smoothly. Volume: Your voice should be loud enough to be easily heard. Clarity: Your words should be clearly pronounced and easily understood. Variety: Your speaking voice should be varied and entertaining. Pace: The speed of your presentation should not feel sluggish or rushed. Choose one of the following optionsOption One: Video/computer presentation with sound Submit a video or computer presentation in which you record your review while sharing your visuals. Submit your written review. Please use a Web 2.0 tool to record your video. Send the link to your instructor.Option Two: Audio with visual attachment Submit a separate audio recording in which you read your review aloud. Submit your visuals separately as a photo or file. Submit your written review.Option Three: Verbal presentation to your guardian or other adult with visual attachment Print out the Presentation rubric and give to your guardian other adult. They will fill out the rubric as you present your review verbally. Submit the presentation rubric. Submit your visuals separately as a photo or file. Submit your written review.5. Save your work to your computer or drive.6. Submit your work in 05.09 You Be the Judge. story the strangers that came to town Find AB andBC of this isoscelestriangle. Under what circumstances should a person open a checking account?OA. When a person wants to make purchases without using cashB. When a person wants to pay special feesO C. When a person wants to accrue interestD. When a person needs to convert dollars into other types ofcurrency In an electromagnetic wave in free space, the electric and magnetic fields are. PLS HELP!I will give brainlyest to right answer Explain how the skydiver analogy in paragraph 3 refines the authors claims about boredom. Use one example from the text, and include how the textual evidence supports your answer. Please help! 23, 24, and 25 Bellas car payment is $321.00 a month for a five year period. What will she have paid for her car when she has paid her finals payment???? Thank you so much !! For a human offspring to express a paternal mitochondrial gene, the individual must have inherited a mitochondrion from the sperm. This is called ___ PRECAL:Having trouble on this review, need some help. please anyone who knows A system is being developed to help pet owners locate lost pets. Which of the following best describes a system that uses crowdsourcing?A mobile application and collar that uses GPS technology to determine the pets location and transmits the location when the owner refreshes the applicationA mobile application and collar that uses wireless technology to determine whether the pet is within 100 feet of the owner's phone and transmits a message to the owner when the pet is nearbyA mobile application that allows users to report the location of a pet that appears to be lost and upload a photo that is made available to other users of the applicationA mobile application that transmits a message to all users any time a lost pet is returned to its owner Polynomial? If so, is thepolynomial a monomial, binomial, or trinomial?5/3m^2n^2p Find the area of the parallelogram below, after thepurple triangle-sized hole was removed. How do you solve this???[tex]\frac{3}{2}r = -1[/tex] I also need help with this math problem. 3If tan 0 =4what does sin O = ? ILL GIVE BRANLIESTThe unit tells us that good things come in threesreality, resolution, reflection. This means reality, resolution, and reflection provide a method for assessing your fitness process and determining what you need (and how to get it) at any given point. What other areas of life could you apply these three Rs to and how? Explain.