F(x)=x^2 + 4x + 12 what is the vertex form of f(x)? What is the minimum value of f(x)?

Answers

Answer 1

the equation of f(x) which is "x" terms is the equation of a vertical parabola that is opening upwards like a bowl, the minimum will be at its vertex

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 4}{2(1)}~~~~ ,~~~~ 12-\cfrac{ (4)^2}{4(1)}\right) \implies \left( - \cfrac{ 4 }{ 2 }~~,~~12 - \cfrac{ 16 }{ 4 } \right) \\\\\\ (-2~~,~~12-4)\implies \stackrel{minimum}{(-2~~,~~\stackrel{\downarrow }{8})}[/tex]


Related Questions

ttyuyuyuyuyuyuyuyuyhuhhss

Answers

Answer:

huhh

Step-by-step explanation:

1.012 - 0.809 +2.75

give me the answer​

Answers

Answer:

2.953

Step-by-step explanation:

Following the order of operations, work from left to right for addition/subtraction.

Subtraction:

[tex]\begin{array}{r r r r r} ^0\diagup\!\!\!\!1 &. & ^10 & ^0\diagup\!\!\!\!1&^1 2\\ -\quad0&.&8&0&9\\\cline{1-5}0&.&2&0&3\\\cline{1-5} \end{aligned}[/tex]

Addition:

[tex]\begin{array}{r c c c r} 0 & . & 2&0&3\\ + \:\:2 &.& 7 & 5\\\cline{1-5}2&.&9&5&3\\\cline{1-5} \end{aligned}[/tex]

Therefore, the solution is 2.953

Let's see

1.012-0.809+2.75

2.75 can be written as 2.750

1.012-0.809+2.7500.203+2.7502.953

Fizer Pharmaceutical paid $78 million on January 2, 2021, for 6 million shares of Carne Cosmetics common stock. The investment represents a 25% interest in the net assets of Carne and gave Fizer the ability to exercise significant influence over Carne’s operations. Fizer received dividends of $2 per share on December 21, 2021, and Carne reported net income of $28 million for the year ended December 31, 2021. The fair value of Carne’s common stock at December 31, 2021, was $28.50 per share.
The book value of Carne's net assets was $192 million.
The fair value of Carne's depreciable assets exceeded their book value by $48 million. These assets had an average remaining useful life of twelve years.
The remainder of the excess of the cost of the investment over the book value of net assets purchased was attributable to goodwill.
Prepare the appropriate journal entries related to the investment during 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions, (i.e., 10,000,000 should be entered as 10).)

Answers

The appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.

Journal entries

January 2, 2021

Debit Investment in Carne shares $78 million

Credit Cash $78 million

January 12, 2021

Debit Cash $12,000,000

($2 per shares  x 6,000,000)

Credit Investment in Carne shares  $12,000,000

December 21, 2021

Debit  Investment in Carne shares $7,000,000

Credit Investment revenue $7,000,000

(25% x $28,000,000)

December 31, 2021

Debit Investment revenue $1,000,000

Credit Investment in Carne shares $1,000,000

[25% x ($48,000,000 ÷ 12 years)]

December 31, 2021

No journal entry for changes in fair value when using equity method.

Therefore the appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.

Lear more about journal entries here:https://brainly.com/question/14279491

#SPJ1

A is the amount you pay for the purchase of a house that decreases the amount of the loan.
-closing payment
-closing cost
-origination payment
-down payment

Answers

The statement that completes the definition is (d) down payment

How to complete the definition?

From the question, we have the following highlights:

The payment decreases the amount of loanThe payment is used for purchase

When a part payment is made to procure an item, the part payment is referred to as a down payment

The down payment fits the highlights (1) and (2) stated above

Hence, the statement that completes the definition is (d) down payment

Read more about down payment at:

https://brainly.com/question/1698287

#SPJ1

solve the formula for h. B=1hm÷2​

Answers

Answer:

[tex]\frac{2B}{1m} =h[/tex]

Step-by-step explanation:

[tex]B =\frac{1hm}{2}[/tex]

Multiply both sides by 2.

[tex]2B = 1hm[/tex]

To make h as the subject divide both sides by 1m.

[tex]\frac{2B}{1m} =\frac{1hm}{1m}[/tex]

Therefore,

[tex]\frac{2B}{1m} =h[/tex]

quadrilateral ABCD with angle B of 72 degree, angle C of 130 degrees, angle D of 67 degrees What is the measure of ∠A?

Answers

Answer:

[tex]m\angle A = 91^{\circ}[/tex]

Step-by-step explanation:

All angles in a quadrilateral must add up to [tex]360^{\circ}[/tex], so [tex]\angle A + \angle B + \angle C + \angle D = 360^{\circ}[/tex]

We can now solve for [tex]\angle A[/tex] by substituting [tex]\angle B, \angle C, \angle D[/tex] for the correct values.

[tex]\angle A + \angle B + \angle C + \angle D = 360\\\angle A + 72 + 130 + 67 = 360\\\angle A + 269 = 360\\\\\boxed{\angle A = 91^{\circ}}[/tex]

That is the answer

- Kan Academy Advance

Divide.


456 ÷ 7



64 R 1


64 R 2


65 R 1


65 R 2

i need help

Answers

Answer:

65 R 1

Step-by-step explanation:

65 R1 that’s the answer<3

What is the spread of the data?
:...
58 59 60 61 62 63 64 65 66 67
Number of people who ride
the morning ferry
OA. 59 to 61 people
OB. 59 to 64 people
OC. 61 to 64 people
OD. 58 to 67 people

Answers

Your answer is D. 58 to 67 people

Jenna is a part-time receptionist at
the dentist's office. Her income last
year was $9,125. Her tax status is
single, she claims one exemption for
herself, and she plans on taking the
standard deduction. What is her
taxable income?

Answers

From the information provided, Jenna's taxable income is zero. See the explanation below.

How do you calculate taxable income?

The formula for taxable income is given as:

Gross Income Less Standard Deduction.

Since the current effective standard deduction for singles is $12,950 Jenna doesn't need to file a tax return since tax cannot be a negative figure.

it is to be noted that the rate payable for individual single taxpayers in 2022 is $10% up to $10,275.

Learn more about Taxable income at:
https://brainly.com/question/24732919
#SPJ1

With full explanation from the internet like before
3x2-6x+5=0

Answers

Answer:

[tex]\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}[/tex]

Explanation:

Given Expression:

3x² - 6x + 5 = 0

Use the Quadratic Formula:

[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

insert coefficients

[tex]\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}[/tex]

[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}[/tex]

[tex]\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}[/tex]

[tex]\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}[/tex]

3x²-6x+5=0

Use quadratic formula

[tex]\\ \rm\Rrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm \sqrt{36-60}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm\sqrt{-24}}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm2\sqrt{6}i}{6}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm \dfrac{sqrt{2}i}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow x=1\pm\sqrt{\dfrac{2}{3}}i[/tex]

Which expressions will help you find the surface area of this right triangular prism? Select all that apply.



38 × 45
1/2 × 36 × 45
45 × 36
1/2 × 36 × 38

Answers

38 is the bet one bcuz like it jus thick’s up with my mentala sun it like sucks sucks so bad someone

ten students in Ashton class were randomly selected and asked how many phone call they made yesterday their answer where 1,0,10,2,9,15,0 and 3 find the mean of the data find the median of the data find the mode of the data find the range of the data

Answers

Answer:

Mean = 2.2

Median = 1

Mode = 0 and 1

Range = 9

Step-by-step explanation:

First arrange the number of calls from least to greatest.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

Mean is the average. Add the numbers together and divide by 10 since there are 10 numbers in total.

0 + 0 + 0 + 1 + 1 + 1 + 2 + 3 + 5 + 9 = 22

22/10 = 2.2

Mean = 2.2

Median is the middle number. Since there is an even amount of numbers, take the 5 and 6 number in the list, add them together and divide by 2. You are taking the average of the two numbers.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

1 + 1 = 2

2/2 = 1

Median = 1

Mode is the number that occurs the most.

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

In the list the numbers 0 and 1 both occur 3 times.

Mode = 0 and 1

Range is the biggest number (9) minus the smallest number (0).

0, 0, 0, 1, 1, 1, 2, 3, 5, 9

9 - 0 = 9

Range = 9

find 3 solutions for y=-2x-4

Answers

Three possible solutions for this equation would be (0, -4), (1, -2), and (2, 0).

Explanation:

Solving the equation would provide these three various answers to verify the equation is true.

Solve for x
x/8 = 3/5 give your answer as an improper fraction in its simplest form

Answers

Answer:

24/5

Step-by-step explanation:

x is 4.8, improper simplified is 24/5

YOOOOO ITS MY LAST DAY OF SCHOOL HAVE SOME POINTS :D

Answers

AYEEE SAME WOOOO!!! HOPE YOU'RE HAVING A GREAT DAY :D

Look at the picture as I can’t type the whole thing

Answers

Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

Convert MMCMLVII to Hindu-Arabic form

Answers

MMCMLVII in Hindu-Arabic is 2957

Counting in Hindu-Arabic

The Hindu-Arabic system uses the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 to count.

Analysis:

MM = 2000

+

CM = 900

+

L = 50

+

VII = 7

MMCMLVII = 2957

Learn more about Hindu-Arabic counting system: brainly.com/question/1542814

#SPJ1

1. Desde el pie de un edificio se observa la parte superior de una torre con un ángulo de elevación de 45°. Desde la azotea del mismo edificio se observa la cúspide de la torre con un ángulo de depresión de 60°. El edificio es 20 m. más alto que la torre. Determinar ambas alturas.​

Answers

Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

¿Cómo determinar la altura de dos edificios?

En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:

Diferencia entre las alturas del edificio y el torre

20 = r₁ · sin 60°

r₁ ≈ 23.094 m

Ahora determinamos el valor de r₂ mediante identidades trigonométricas:

r₂ = r₁ · (cos 60°/cos 45°)

r₂ = (23.094 m) · (cos 60°/cos 45°)

r₂ ≈ 16.330 m

Finalmente, obtenemos las alturas de cada edificio:

Torre

h = (16.330 m) · sin 45°

h ≈ 11.548 m

Edificio

h' = h + 20 m

h' = 11.548 m + 20 m

h' = 31.548 m

Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

Para aprender más sobre razones trigonométricas: https://brainly.com/question/6904750

#SPJ1

An insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years. Part A If the value of a brand new car is $32,000.00. Which expression can the company use to predict the value of the car? I need help plsssss

Answers

The expression, the company can use to predict the value of the car is v =32000 (0.8)^t

What is insurance company?

The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.

Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.

The rate of interest r in percentage = 100 - 20 = 80%

If the value of a brand new car is  P =$32,000.00.

The value of car will be

value =  P x r^t

v = $32,000 x(0.8)^t

Thus, this is the expression insurance company uses to find the value of car.

Learn more about insurance company.

https://brainly.com/question/16996203

#SPJ1

I need the answer ASAP

Answers

Answer:

yeah

Step-by-step explanation:

so do 22.5 times 27 and then divide with 43

Which of these choices show a pair of equivalent expressions? Check all that apply.

Answers

the answer is A.B

I mean the answer is a and b

Which of the following is an even function?
Of(x) = (x - 1)²
Of(x) = 8x
Of(x)=x²-x
Of(x) = 7
COFFE
Sinte echinat
SUMPARNI

Answers

Answer:

Step-by-step explanation:

This is for a test please answer

Answers

Answer:

25 = b

26 = c

Step-by-step explanation:

What is the third quartile of this data set?
20,21,24,25,28,29,35,37,39,42,44
A. 44
B. 29
C. 24
D. 39

Answers

The answer to this question is 39

Tasty Goodies Bakery recorded the desserts that were recently sold.
chocolate croissants 1
cookies 1
brownies 10
slices of pie 12
Considering this data, how many of the next 78 desserts sold should you expect to be slices of pie?
slices of pie

Answers

Answer:

36

Step-by-step explanation:

possibility of slices of pie is 12/24, = 1/2

78 desserts, how much i expect is slices of pie

78*(1/2) = 36

We should expect about 39 of the next 78 desserts sold to be slices of pie.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Out of 24 desserts sold, 12 were slices of pie.

Therefore, the proportion of slices of pie sold is 12/24 = 1/2.

To estimate the number of slices of pie in the next 78 desserts sold, we can multiply the proportion of slices of the pie by the total number of desserts sold:

(1/2) x 78 = 39

Therefore,

We should expect about 39 of the next 78 desserts sold to be slices of pie.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Find the mean of the following data. (a) 9, 7, 11, 13, 2, 4, 5, 5 (b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35 (c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5 (d) 11/4, 21/2, 51/2, 31/4, 21/2

Answers

Answer:

a) 7 b) 24 c) 8.5 d) 11.4 (i think)

Step-by-step explanation:

Please help! I’m really confused on this question

Answers

Answer:

noncollinear

Step-by-step explanation:

my guess sorry if im wrong

If a tree grew 5 feet in n years, what was the average rate at which the tree grew, in inches per year?

Answers

Answer:

0.01

Step-by-step explanation:

so i divided 5 by 365 because 365 days or in a year so 5/365=0.01369863013 and usually just said as 0.01

Hope This Helped

Find the interquartile range (IQR) of the data in the dot plot below VV
(PLS HELP ME PLSSS)

Answers

The interquartile range of the data that is represented on the dot plot is: 2 chocolate chips.

What is the Interquartile Range?

Interquartile range (IQR) = upper quartile - lower quartile.

Upper quartile (Q3) = center of the second half of the data = 5

Lower quartile (Q1) = center of the first half of the data = 3

Interquartile range (IQR) = 5 - 3

Interquartile range (IQR) = 2 chocolate chips.

Learn more about the interquartile range on:

https://brainly.com/question/4102829

#SPJ1

what is the answer here

Answers

Answer:

120m²

Step-by-step explanation:

Area¹ = (6*5) = 30*2 surfaces = 60m²

Area² =(6*6) = 36m²

Area of Triangle =(1/2*4*6) = 12* 2 surfaces = 24m²

Total surface area = 60 + 36 + 24 = 120m²

=/120m²

Other Questions
Your dod common access card has a public key infrastructure token approved for access to the. Hallar la ecuacin de la recta qu pasa por el punto (2,3) y cuya abscisa en el origen es el doble que la ordenada en el origen The measure of Angle DCG is 145 What is AngleDCE? write a descriptive paragraph of a stranger who left a significant mark in your life Normally, foreign language can't ______easily except it is close your native languageO learned O learn O be learnedO was learned A 6 foot shadow is cast by a 10 foot lamp post. What is the angle of elevation of the sun? Question 3 of 21The graphs below have the same shape. The equation of the blue graph isf(x)=Ix. Which of these is the equation of the red graph, g(x)?y f(x) = |x|g(x) = ?A. g(x) = x +5B. g(x) = x+ 51C. g(x) = 1x1-5OD. g(x)=Ix-51 The diagram shows 3 identical circles inside a rectangle.Each circle touches the other two circles and the sides of a rectanas shown in the diagram.The radius of each circle is 2 mm.Work out the exact area of the rectangle.Give your answer in the form a3 + bwhere a and b are integers. diferencias entre los textos didcticos y consulta? Consider these dimensions for a cylindrical aquarium.A cylinder with height 14 feet and radius 25 feet.The measures have been substituted in the formula for the volume of a cylinder.V = 252(14)Approximately how much water will fill the tank?Use the calculator to approximate the amount to the nearest hundredth. cubic feet A line passes through the points (-3,-4) and (6,2) What is the x intercept of this line? How does the conflict in the Animal Farm excerpt relate to the events in the historical passage?Napoleon says that he and a special committee will make all the decisions, just as Stalin and his highest party members made all the decisions.The animals are unhappy with Napoleons leadership style and want to rebel, just as the Russian people under Stalin wanted to rebel.Napoleon announces that he will bring together all the farms so that all the work and rewards are shared, just as Stalin took over all the farms for the state.The animals have to meet on Sundays to show their commitment to Napoleon, just as the people had to set Sundays aside in honor of Stalin. You have a spinner with red and blue regions. When you spin, it comes up blue 60 percent of the time. You do an experiment where you spin the spinner 180 times, and it comes up blue 114 times. (a) What proportion of spins came up blue in your sample What is the difference between a cemetery and a graveyard?. Complete with an appropriate word from the Chapter 3 Vocabulary. Spell correctly and use accents when necessary. (, , , , , )l levanta la. 1 cuando tiene una 2 For what value of x will the line passing through the following pairs of points bevertical?F(3-2x, 12) and G(x +9, 7) how to find the volume of a room Who was the first african american to be named poet laureate of the u. S. ?. 5/9 divided by 20/27 in its simplist form Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newtons laws of motion to achieve this goal?increasing the inertia of the cardecreasing the reaction forceincreasing the action forcedecreasing the mass of the car