f(x) = 3x2 – 12x +1
find the vertex.

Answers

Answer 1

Answer:

(2,-11) is the vertex

Answer 2

Answer:

              (2, -11)  

Step-by-step explanation:

[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]

the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)

x-h = x-2  ⇒  h = 2

+k = -11    ⇒   k = 11


Related Questions

Martin combines 8.65 liters of red paint with 8.09 liters of blue paint to make purple paint. He pours the paint equally into 4 containers and has 2.78 liters of paint leftover. How many liters of paint are in each container

Answers

Answer:

3.49 liters of paint in each container

Step-by-step explanation:

So he started off with 8.65 + 8.09 which is 16.74. Then he poured it equally into 4 containers and had 2.78 leftover. so you tak 16.74 - 2.78 which is 13.96. Lastly you divide 13.96 by 4 which is 3.49

I believe this is correct!

Answer:

3.49 liters per container

Step-by-step explanation:

First we need to find the total amount of paint

8.65+8.09=16.74(total amount of paint)

Now subtract 2.78 from 16.74 and then divide that by 4

16.74-2.78=13.96

13.96/4=3.49

15. 26.54-p=0.5(50-p)​

Answers

Answer:

p=3.08

Step-by-step explanation:

3.8....................

Marketa bought 2.7 pounds of walnuts for $25.54. Approximately how many pounds of walnuts can Marketa purchase for $1? 7.4B

Answers

Answer:

0.11pounds

Step-by-step explanation:

Given parameters:

Quantity of walnuts bought = 2.7pounds

Cost = $25.54

Unknown:

Number of pounds of walnuts $1 can buy = ?

Solution:

To find the number of pounds of walnut Marketa can buy with $1;

        $25.54 can buy 2.7pounds

          $1 can buy     [tex]\frac{1 x 2.7}{25.54}[/tex] = 0.11pounds

With $1, Marketa can buy 0.11pounds of walnut.

5x-2y=30

complete the missing value in the solution to the equation
PLZZZZ HELP
(8,_)

Answers

Answer:

(8,5)

Step-by-step explanation:

x=8,

5(8)-2y=30

40-2y=30

40-30=2y

10=2y

y=10/2

y=5

Answer:

y=5

Step-by-step explanation:

If x=8, you plug it in and the equation is 5(8)-2y=30. If you solve it further, it is 40-2y=30. If you ignore the 2y for now, 40 minus what equals 30? The answer is 10 so you look at 2y and determine how you can multiply 2 to get 10. The answer is 5 so the full equation is 40-10=30.

he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.

Answers

Answer:

P”Q=3PQ

Step-by-step explanation:

HELPPP 100 POINTS!

Tyler belongs to a fitness club at a community centre. The graph below represents the relationship between the number of times he visited the club and his total monthly cost. What type of variation is this relationship, and what is the initial value? *

#1 Direct Variation, and initial value is 0
#2 Partial Variation, and initial value is 0
#3 Direct Variation, and initial value is 20
#4 Partial Variation, and initial value is 20

Answers

Answer:

#3

Step-by-step explanation:

The type of variation in this relationship is direct variation, and the initial value is 20.

What is the linear relationship?

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The given graph represents the relationship between the number of times he visited the club and his total monthly cost.

As per the given graph, we can conclude as follows:

The type of variation in this relationship is a direct variation because the points are increasing, and the initial value is 20 because the coordinate of the initial point is (0, 20).

Hence, the correct answer would be option (C).

Learn about the linear relationship here :

https://brainly.com/question/11663530

#SPJ2

At the snack bar, 12 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 66 hot dogs are sold?

Answers

Answer:

the answer is 54

Step-by-step explanation:

I am doing same thing

Answer:105

Step-by-step explanation:

Help ASAP anyone please thank you

Answers

Answer:

D but dont get mad

Step-by-step explanation:

I think the answer would be D:)

5x + 3 = 3x + 9 what is the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

5x + 3 = 3x + 9

subtract 3 on both sides (cancels out 3) (inverse operation)

5x = 3x + 6

subtract 3x on both sides (cancels out 3x) (inverse operation)

2x = 6

divide both sides by 2 (isolates x) (simplifies)

x = 3

Subtract x2 - 2x - 6 from - 6x + 5

Answers

x^2-2x-6-6x+5= x^2-8x-1

The ratio in simplest form of 9ft to 15yd is????

Answers

Answer:

3/5 because you find what goes into each and simplify. 9/15 each divided by 3. 9/3=3 15/3=5 so 3/5 is your answer.

Write the expression below as a product of two factors.

12n + 8m - 4

Answers

Answer:

4(2m + 3n - 1)

I hope this helps!

Answer:

12=3*4 or 6*2.   8=4*2  and -4=4*-1

is the factors.


Need Help Please Easy

Answers

Answer:

i cant see the answer choices send them to me and ill answer in the comments

Step-by-step explanation:

Which of the following equations represent linear functions?

y=4(2x)−3

x2+y=1

y=2x√

y=−2

Answers

Answer:

y = 4(2x) − 3 y = −2

Step-by-step explanation:

Given functions:

y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2

Linear functions have the form of

ax + by + c = 0 or y = mx + b

Therefore functions 1. and 4. are linear functions, the other two aren't

pls help me out ill give brainlyist​

Answers

Answer:

B) y=3x+4.5

Step-by-step explanation:

The diagram shows a triangle PQR.
XYZR is a parallelogram where
X is the midpoint of RP,
Y is the midpoint of PQ,
and Z is the midpoint of QR.

Prove that triangle PYX is congruent
to triangle YQZ.

Total marks: 4

Answers

Answer:

Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency

Step-by-step explanation:

The given

Statement                [tex]{}[/tex]                              Reason

PQR is a triangle               [tex]{}[/tex]                    Given

XYZR is a parallelogram           [tex]{}[/tex]            Given

X is the midpoint of RP           [tex]{}[/tex]              Given

Y  is the midpoint of PQ          [tex]{}[/tex]              Given

Z  is the midpoint of QR          [tex]{}[/tex]              Given

Therefore;

QY = YP, Definition of midpoint

XY is parallel to QR, and YZ  is parallel to  RP Midpoint theorem

Therefore, ∠PYX ≅ ∠PQR and ∠QZY ≅ ∠YXP Corresponding angles of parallel lines

From which we have;

Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency.

Robert was using a bucket that holds 243.5 ounces (oz) of water when full. The bucket loses 0.3 oz of water per second. After 20 seconds, Robert noticed the leak and plugged the leak. How much water, in ounces, remained in the bucket?

-Note from user: Hello! Could you please help me? I want to learn how to do this in the future so it would be appreciated if u add an explanation to your answer, thanks and please respond before 11:59)

Answers

Answer:

237.5

Step-by-step explanation:

Since the bucket loses 0.3 oz of water per second, and 20 secs passed, you would have to multiply 0.3 and 20 to find out how much water leaked. And 0.3x20=6, so then, we would have to subtract 234.5 and 6 to find out how much water there is left in the bucket. 234.5-6=237.5

So 237.5 is your answer  

At East Middle School, 25% of the 60 students Mrs. White teaches buy their lunches in the cafeteria. How many students purchase their lunch in the cafeteria?

Answers

Answer:

15

Step-by-step explanation:

Whenever you see 25% of something, divide the original number by four. Because 25x4=100, you can use this equation. 25% of something is always your original number divided by four. In this case, the original number is 60. 60 divided by four is 15.

Another term to represent Unit Rate is?
Constant of Proportionality
Slope
Rate of Change All of the Above
None of the Above

Answers

Answer:

All of the above.

Step-by-step explanation:

In a graph, the unit rate gives us the change in y for a unit change in x. That is, the unit rate is the rate of change in y when the change in x is 1.

Therefore, the unit rate is the same as the rate of change.

And the rate of change is synonymous with the slope.

The constant of proportionality is simply the slope/rate of change for proportional equations.

Therefore, the constant of proportionality is also another word for the unit rate.

Our answer is hence all of the above.

all of the above because they’re all different ways to say/describe unit rate

The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?

Answers

Answer:

it was decreased by 67%

Step-by-step explanation:

Answer:

67 %

Step-by-step explanation:

Identify an equation in point-slope form for the line perpendicular to
y=-1x +11 that passes through (4, -8).
O A. y +8 = 2(x-4)
B. y - 4 = 2(x+8)
O C. y+8 = {(x-
-4)
O D. 7-8 = {(x + 4)

Answers

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel. check all that aply

Answers

Answer:

Planes EA and FG

Step-by-step explanation:

Answer:

EA & FG

Step-by-step explanation:

Edge 2020

Give the domain and range.

Answers

Answer:

c

Step-by-step explanation:

Helppppppp. Pleaseeeeeeee

Answers

Answer:

-59/7

Step-by-step explanation:

-9+4/7

-63/7+4/7

-59/7

WILL MARK BRAINLYEST PLZ HELLP!!!!



show your work



1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock


price?


2. A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards. What


is their net gain or loss?


3. What is the difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft


below sea level?

Answers

Answer:

1. 68

2. Net gain of 6 yards

3. 7684 ft

Step-by-step explanation:

1.

Walmart’s stock price started at $70. It went up by $2, then went down $4

Final stock = [tex]70+2-4=68[/tex]

2.

A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards

Here,

[tex]5-2+6-3=6[/tex]

So, net gain of 6 yards

3.

Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft  below sea level = [tex]7677-(-7)=7677+7=7684\,\,ft[/tex]

Negative 5 over 4, multiplied by x minus 5 equals negative 35. I need some help please.

Answers

Answer:

-5/4  × x - 5 = -5

Step-by-step explanation:

Let's solve your equation step-by-step.

−5

4

x−5=−5

Step 1: Add 5 to both sides.

−5

4

x−5+5=−5+5

−5

4

x=0

Step 2: Multiply both sides by 4/(-5).

( 4 −5 )*( −5 /4 x)=( 4 −5 )

*(0)

x=0

factor 48m+42n to identify the equivalent expression

Answers

Answer:

6⋅(8m+7n)

Step-by-step explanation:

I think this is you're answer.

Answer:

6(8m+7n) and 3(16m+14n)

Step-by-step explanation:

this is not a question but if you're reading this you are amazing this website gives me hope in humanity knowing were all helping each other out when life gets tricky you taking you time outta your day to read this is helping me so if you're reading this your beautiful and love and don't let anyone tell you otherwise

Answers

love you too bud,, don’t forget you’re beautiful also!! <33 much love and i hope your grades are amazing!! ^^

Answer:

brainliest???

add me on snap:    bella.exwo

and insta:   nbsbellaaaaaa

there are 6 a's in it ^

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i hope you have an amazing day and much love!!!!  mwah

Do these 3 side lengths form a right triangle? (Yes or no question): 9 in, 12 in, 15 in

Answers

Answer:

the answer is yes

Step-by-step explanation:


Solve the equation in the interval from 7pi/2 to 13pi/2
All choices are rounded to the nearest hundredth.
Your answer should be in radians.
sin(x) = 0.95
Choose all answers that apply:

Answers

Answer:

Step-by-step explanation:13.82, 14.47, 20.10

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