A quadratic function is defined by f(x) = x^2 - 8x - 4 Which expression also defines f and best reveals the maximum or minimum of the function?

A Quadratic Function Is Defined By F(x) = X^2 - 8x - 4 Which Expression Also Defines F And Best Reveals

Answers

Answer 1
The quadratic function f(x) = x^2 - 8x - 4 can be rewritten in vertex form as f(x) = (x - 4)^2 - 20, where the vertex is at (4, -20). Since the coefficient of the x^2 term is positive, the parabola opens upwards and the vertex represents the minimum value of the function. Therefore, the expression that also defines f and best reveals the maximum or minimum of the function is f(x) = (x - 4)^2 - 20. should be right
Answer 2

Answer: D

Step-by-step explanation:

(x-4)²-20

(x-4)(x-4)-20

(x^2)-8x+16-20

= (x^2)-8x-4

D is the same equation as in the question, just written in another form (they are equal). In this form (vertex), the vertex is (h,k), which is easily found in this equation. The vertex reveals the maximum or minimum. The vertex in this problem is (4,-20) because vertex form is f(x)=a(x-h)^2 + k.


Related Questions

help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz (for savas realize)

help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz (for savas realize)

Answers

Answer:

39

Step-by-step explanation:

y=kx(k is constant of proportianiality)

39=k(1)

k=39

if my answer helps please mark as brainliest.

Answer:

ltvy,f

Step-by-step explanation:

iu;p

I need help with part B, just that part, plz help.
I will give brainliest to who ever answer this question.

I need help with part B, just that part, plz help.I will give brainliest to who ever answer this question.

Answers

Answer:

6

Step-by-step explanation:

260÷45=5.77

Round and it ends up being 6

Answer:

5

Step-by-step explanation:

45 * 120% = 54

260/54 = ~5 (rounded, as you cannot sell a fraction of a coat AND you must receive AT LEAST $260)

In order to sell jackets at this price and end with at least $260, you must sell 5 jackets.

What goes into 8x and goes into 56?

Answers

Answer: 7Step-by-step explanation:8*7=56
X=7 cause 8x=56
X=56/8
X=7

A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?

2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100

Answers

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

2 over 8 equals j over 18

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

2 over 8 equals j over 18

52+g=45+11; g=3 what is the answer

Answers

52+g = 45 + 11; = 7/10

PLS HELP!!!!!
Brayden conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 2/5 degrees in 1/5 of an hour. How much did the temperature of the compound rise in one hour?

PLS HELP!!!!!Brayden conducted a scientific experiment. For a certain time, the temperature of a compound

Answers

Answer: 12 degrees or 11 5/5 or 60/5

Step-by-step explanation:

Since the temperature is rising 2 2/5 per 1/5 of an hour we just need to multiply 2 2/5 times 5 because 5/5 would equal the whole hour. In order to multiply easier you can change 2 2/5 to an improper fraction by multiplying the whole number with the denominator and then adding the numerator. Which you should get 12/5 next change 5 to a fraction which would be 5/1. 5 times 12 is 60 and 5 times 1 is 5. You get 60/5 which if divided is 12.

For the number line you just have to find 1/5 and 2 2/5 on it and mark it.

Please help me with 1 though 4

Please help me with 1 though 4

Answers

1: 28 miles
2: 960 ounces
3: 14 yards
4: 26,000

y=2x-7 4x+y=11 which ordered pair makes both equations true

Answers

Answer:

x=3 y=-1

Step-by-step explanation:

substitute into one of the equations: 4x+2x-7=11

rearrange unknown terms to the left side of the equation: 4x+2x=11+7

combine like terms: 6x=18

divide both sides by x: x=18/6

calculate to product: x=3

Same thing for y:

y=2x3-7

y=6-7

y=-1

Solution:

x=3

y=-1

What does it mean to be in a proportional relationship?

Answers

I am pretty sure a proportional relationship is when a function is always multiplied or adding the exact same amount. The amount is always constant.
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if: y=kx. for some constant k , called the constant of proportionality .

The multiplicative inverse of -⅚ is

Answers

Answer: -6/5

Step-by-step explanation:

Multiplicative inverse simply is another word for 'reciprocal'.

A reciprocal is the fraction upside down, or inverted.

Knowing this, let's convert -5/6.

-5/6 becomes -6/5, and you don't do anything about the negative sign.

Answer: -6/5

Step-by-step explanation:

u just get the reciprocal

Please answer soon!
Abby, Bart, Cindy and Damon weigh themselves in pairs. Together Abby and Bart weigh 160 pounds, Bart and Cindy weigh 180 pounds, and Cindy and Damon weigh 200 pounds. How many pounds do Abby and Damon weigh together?

Answers

Answer:

180 pounds

Step-by-step explanation:

As you see Abby and Bart are both 160 divide it by 2 and you get 80. Then Cidny and Damon are 200 pounds divide that by 2 you get 100. Add 100 and 80 you get 180 pounds. Hope this Helps

gggggggggggggghhhhhhhhhhhhhiiiiiiiiii

gggggggggggggghhhhhhhhhhhhhiiiiiiiiii

Answers

Answer:

Minimum: 6

Lower Quartile (Q1): 9

Median (Q2): 15

Upper Quartile (Q3): 26

Maximum: 34

Interquartile Range: 17

That answer is 17 :):):):):)

Please help me! im on an assignment an cant figure it out

Please help me! im on an assignment an cant figure it out

Answers

Step-by-step explanation:

The difference beteen 9.2 ounces and 8.1 ounces is  1.1 ounces

   and the difference in price is   .49

       so 1.1 ounces cost .49

           $ .49 / 1.1 oz = $  .445  per ounce

Then Reid's bowl should cost   7.8 oz  * $ .445 / oz = $3.47

7.78 I think I don’t remember

Crayola Classic markers come in packages of eight. Crayola Tropical markers come in packages of ten. Sheldon wants the same number of Classic and Tropical markers. What is the fewest number of packages he could buy of each type of marker? Show proof of your answer.

Answers

Answer:

Crayola Classic: 5 Packs; Crayola Tropical: 4 Packs

Step-by-step explanation:

Keep multiplying by both until you get a number equal to eachother

1. 8 x 2 = 16,  10 x 2 = 20

2. 8 x 3 = 24, 10 x 3 = 30

You may notice that the numbers are getting farther apart. This is normal because the boxes are not equal and are getting multiplied further. That means that your answer will have different factors in both the equations.

3. 8 x 4 = 32, 10 x 4 = 40

4. 8 x 5 = 40

Both of those equations (in bold) have the same answer and he wanted the same crayons from both. So, the answer is:

10 x 4 = 40

8 x 5 = 40

(how much packs of each you need to get the same amount)

Hope this helps :)

-jp524

classic 10 X 4

tropical 8X 5

both equally add up to 40

The length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width?

Answers

Answer: 4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.

To find the ratio you are going to divide 15 by 20 and your answer will be 3 over 4

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

Answers

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Small number = S

Number = N

N = 2S + 3

N = 2(S+1)

N = N

2S + 3 = 2(S + 1)

2S + 3 = 2S + 2

-2S         -2S

3 = 2

No solutions

Therefore...

"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct

help me, please math is hard

help me, please math is hard

Answers

Answer:

50

Step-by-step explanation:

70% of 50 is 35

and 30% of 50 is 15

and 35-15 is 20

Answer:

15

Step-by-step explanation:

Math help please!
|120+x| x<-120

Answers

Answer:

-120-x

Step-by-step explanation:

Given:

\(\displaystyle \large{|120+x| \quad (x < -120)}\)

This is the same as previous one. Recall modulus property:

\(\displaystyle \large{|a+x| = \begin{cases} a+x \quad (x \geq -a) \\ -a-x \quad (x < -a) \end{cases}}\)

Keep in mind that |x+a| and |a+x| are equal via addition property.

Since the question gives interval of x < -120:

Therefore, the expression is -120-x

Which statement is correct? pls i need help :(

Which statement is correct? pls i need help :(

Answers

Answer:

the correct option is: a!

Step-by-step explanation:

3 < 15 <4

a is correct !! because i know it is

help! i dont this math problem please due soon!

help! i dont this math problem please due soon!

Answers

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

Answers

Answer:

10.57 m

Step-by-step explanation:

Let the height of the parallelogram be x m

Area of the parallelogram = base*height

                                645    = (61 * x ) m

                                 x = 645/61

                                    = 10.57 m

Hope this helps

Height of parallelogram = 10.57m

Given,

Base of parallelogram = 61 m

Area of parallelogram = 645 m²

Now, according to formula

Area of parallelogram = Base × Height

Substitute the given values in the formula,

645 = 61 × height

Height = 10.57 m

Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m  .

Know more about Parallelogram ,

https://brainly.com/question/1563728

#SPJ1

I need help with this question, I'm not very good at math and all help is appreciated!

I need help with this question, I'm not very good at math and all help is appreciated!

Answers

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Kenneth graphed a system of equations.

Kenneth says the system has no solution
Do you agree?
Yes or No

Kenneth graphed a system of equations.Kenneth says the system has no solutionDo you agree?Yes or No

Answers

No. As the lines continue they will intersect.
There’s is a solution

Please help, I don't have much to give but I'm really struggling to understand this.

Please help, I don't have much to give but I'm really struggling to understand this.

Answers

Here is your answer
Please help, I don't have much to give but I'm really struggling to understand this.
2187^4 if you simplify (3^7) bc its in the parenthesis

Can somebody please help I don't understand how to do this

Can somebody please help I don't understand how to do this

Answers

Answer:

hbsbipynoibnrioudjtoudjtuodjoudk

Step-by-step explanation:

linylnutdbitdiltcicyrkdvutodubtuodjtohtsuodhuthuodtjutodhodutohutdhusotohdtidgidgtidgtigdtuhothuodtohudtuodthhoudthoudtuohtd

If 0.22 greater than x and less than 33 which of the following could be the value of x?

3.2 x 10^-1

-0.3
3.5 x 10^1

Answers

Answer:

0.54

Step-by-step explanation:

i dont know if this is actually right but thats what my answer would be after i worked it out

0.54




That’s my answer, that’s what I got.

The replacement set for an equation is {12, 18, 32, 48}. The equation is represented by the sentence, "34 of a number is 24." What is the solution set of the equation? Responses {12} open curly bracket 12 close curly bracket, {18} open curly bracket 18 close curly bracket {32} open curly bracket 32 close curly bracket {48}

Answers

Answer: 38 67 54 90

Step-by-step

Answer: 32

Step-by-step explanation: I took the test:)

If a cross section of the rectangular pyramid is cut perpendicular to the base, but not passing through the top vertex, what would be the shape of the resulting cross section?

Answers

Triangle

The lateral face of a pyramid is a triangle, so a cross section that passes through the top vertex and the base is also a triangle.

PLZ HELP ME IM VERY CONFUSED! BRAINLIEST TO THE FISRT PERSON WITH WORK! AND 50 POINTS! AND ONLY ANSWER IF YOU HAVE AN ANSWER!!!!!!!!!!

The Hamptons Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.

Part A: Define the input and output in the given scenario.


Part B: Write a function to model this situation.


Part C: How many liters of water will be left in the tank after 10 minutes
(hint: liters, not milliliters)

Answers

Answer:

The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank

We can give a letter 't' for the time, the input, and f(t) for the output

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

The original amount of water in the tank is 10450, so this will be the fixed constant.

The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t

The function is given f(t) = 10450 - 270t

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

Given, t = 10

f(10) = 10450 - 270(10)

f(10) = 7750 ml

Step-by-step explanation:

Answer:

 Part A:

Since the rate of 270 ml per minute has units of ml per minute, then yy must have units of ml and x must have units of minutes. The input must then be the number of minutes the tank is leaking for and the output is the number of ml of water remaining in the tank.

Part B:

Since the tank is leaking 270 ml per minute, then after x minutes, 270x ml of water has leaked out of the tank. The tank initially has 10,450 ml of water so after x minutes, there is y=10,450−270x ml remaining in the tank.

Part C:

After x=10 minutes, the amount of water remaining in the tank is y=10,450−270(10)=10,450−2,700=7,750 ml. There are 1,000 ml in 1 liter so 7,750 ml = 7.75 liters. There are then 7.75 liters of water left in the tank after 10 minutes.

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