f(x)=-x^2-4x+12
find the minimum/maximum value

Answers

Answer 1

Answer:

Maximum Value / Vertex : (-2,16)

Step-by-step explanation:

Since the value of a is negative, we will solve for the maximum.

Finding the x-value of the vertex of the parabola is x=-b/2a:

x=-(-4)/2(-1)

x=4/-2

x=-2

Now if we plug x=-2 into the function, we'll get our y-value for the vertex:

f(-2)=-(-2)^2-4(-2)+12

f(-2)=-(4)+8+12

f(-2)=-4+20

f(-2)=16

So the vertex of our parabola is (-2,16) which is our maximum value


Related Questions

Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27

Answers

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

Use this model to calculate
3/8×2/6

Answers

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

PLS HELP!! Katie earned 15% more this week than last week. This week she earned $225, how much did she earn last week?

Answers

Answer:

$258.75

Step-by-step explanation:

225 * 0.15

Let last weeks pay = x

This week she earned 15% more so she earned 100% + 15% more for 115% total.

Setup an equation:

115% times x = $225

115% as a decimal = 1.15

So the equation is:

1.15x = 225

Solve for x by dividing both sides by 1.15:

X = 225/1.15

X = 195.65

Last week she earned $195.65

Eli gave out a survey to some students in his school about their favorite color. 880 of those surveyed said their favorite color was red. If 88% of the students surveyed said their favorite color was red, how many students were surveyed in total?

Answers

Answer:

The answer is 1000.

Step-by-step explanation:

many do apply pls helpn

Answers

Answer:

a and b

Step-by-step explanation:

i think b i know a for sho

Answer:

32w+3

Step-by-step explanation:

8x4w=32w and you are left with the 3, so it ends up 32w+3

PLEASE HURRYYYYYYYYY​

Answers

Answer:

12r ft

Step-by-step explanation:

you're welcome have a nice day

Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain

Answers

Phil did. 2/3 is greater than 4/9

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?

Answers: February, March, and April

Answers

Answer:

april

Step-by-step explanation:

Answer:

April is the fourth month of the year! Hope this helps.

Step-by-step explanation:

A task force to encourage car pooling did a study of of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 workers was taken. The results are below:One-Way Commuting Distance (miles) Mean12.03333333Standard Error0.712268068Median14Mode16Standard Deviation5.517204729Sample Variance30.43954802Kurtosis-0.84324231Pearson's-1.069382104Range19Minimum1Maximum20Sum722Count60True or False

Answers

Answer:

TRUE

Step-by-step explanation:

using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468

hence the correct option is TRUE

One way commuting is traveling of passengers using a single lane in both directions

3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

Answers

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

I’ll give points + brainalist, please help!!

Answers

A or C I am actually not sure

Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Answers

Answer:

hammood habbi knows

Step-by-step explanation:

32 or 16

Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way. first, she needs to buy an access pass that costs $5.50 there is also a fee of $1.25 first stop Kela doesn't want to spend more than $15 on the trip so she wants to know the largest number of stops she can afford write an inequality to solve this problem.
Pls answer fast I'll mark brainliest​

Answers

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

5. Simplify
(7x2+ 8) - (x2 - 2)

Answers

Answer:

[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

What is the average rate of change for this exponential function for the interval from x = 1 to x = 3?

A. 6
B. -6
C. -3
D. 3​

Answers

The answer would be d

help please Im bout to fail.....

Answers

Answer:

it's the second to last one on the right side

Answer: (Not if I'm involved!)

Move the dot to the fourth tick mark to the right of zero.

Step-by-step explanation:

Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.

Please help!!! use the distributive property to rewrite the expression
(x + 3)(2x - 7)

Answers

Answer:

Step-by-step explanation:

( x + 3) (2x - 7)

x(2x - 7) + 3(2x - 7)

you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly​

Answers

Answer:

The balance after 4 years would be $1,380.05.

Step-by-step explanation:

Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:

1,200 x (1 + 0.035 / 12) ^ 4x12 = X

1,200 x 1.00291666 ^ 48 = X

1,380.05 = X

Therefore, the balance after 4 years would be $1,380.05.

Answer:

The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters​

Answers

Answer:

1500 millimeters is your answer

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled

Answers

Answer:

i think it is 451 i believe

NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.

Answers

9514 1404 393

Answer:

48.0 seconds2833 meters

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8

Answers

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Answer:

B on edge

Step-by-step explanation:

Just really need a answer to this Savvas question!

Answers

Answer:

Solution given:

radius=r=2cm

height=h=9cm

Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³

The required volume is 36π0r 113.1cm³

A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.

Answers

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]

Rounding to one decimal place, 0.2.

The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions

The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

During halftime of a soccer ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The​ T-shirt is caught 43 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?
The​ T-shirt takes nothing ​second(s) to reach its maximum height.
​(Type an integer or a​ decimal.)
The​ T-shirt's maximum height is nothing feet above the field.
​(Type an integer or a​ decimal.)
What is the range of the​ function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70

Answers

Answer:

During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.

Find an equation for the inverse for each of the following.

Answers

Answer:

To solve these first swap x and y, solve for y and name it inverse function

3. y = -8x + 2

x = -8y + 28y = -x + 2y = -x/8 + 2/8y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

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

4. y = (2/3)x - 5

x = (2/3)y - 5(2/3)y = x + 5y = (3/2)x + (3/2)5y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

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

5. f(x) = 2x² - 6

x = 2y² - 62y² = x + 6y² = 1/2x + 3y = [tex]\sqrt{1/2x + 3}[/tex]

f⁻¹(x) = [tex]\sqrt{1/2x + 3}[/tex]

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

6. y = (x - 3)²

x = (y - 3)²[tex]\sqrt{x}[/tex] = y - 3y = 3 + [tex]\sqrt{x}[/tex]

f⁻¹(x) = 3 +  [tex]\sqrt{x}[/tex]

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

Answers

Answer:

The domain is [tex]D_C = [0,\infty)[/tex]

The range is: [tex]R_C = [20,\infty)[/tex]

Step-by-step explanation:

Domain and range of a function:

The domain of a function are the values that the input assumes, while the range are the values that the output assumes.

In this question:

[tex]C(m) = 0.05m + 20[/tex]

m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So

The domain is [tex]D_C = [0,\infty)[/tex]

When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:

The range is: [tex]R_C = [20,\infty)[/tex]

Answer:

Option 1  because

domain: m is Greater than or equal to zero

range: C is greater than or equal to twenty

Step-by-step explanation:

The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.

Edg2021

Plz help I’m down bad atm

Answers

Answer: Second option, 2^2x+6=2^6

Step-by-step explanation:

You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.

64 is a power of 2, so just multiply 2 by itself until you get the number you’re looking for and count how many times you do it. Or just type each option, like 2^4, 2^6 into the calculator until you find it.

Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.


Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.

Answers

Answer:

[tex]5+2.25m=38.75[/tex]

Step-by-step explanation:

Let [tex]m[/tex] represent the number of miles to Jazmin's home.

Initial cost to pick Jazmin [tex]=\$5[/tex]

Cost per mile [tex]=\$2.25[/tex]

Therefore,

Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]

Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles

                                            = [tex]5+2.25m[/tex]

Also, total cost incurred [tex]=\$38.75[/tex]

So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]

PLS HELP: A box is 9 inches wide, 3 inches long, and 12 inches high. It is completely filled with blocks that are each 1 cubie inch in volume. If 20 blocks were taken out of the box, how many blocks would remain in the box?

Answers

Answer: 304

Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.

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