which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21​

Answers

Answer 1

Answer:

D. The equation has a maximum value with a y coordinate of -21​

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

x = -b/2a

For the given equation the vertex is:

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D


Related Questions

CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.

Answers

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: 60 is the answer.

Step-by-step explanation: We can use the total sum, 180.

To get the missing angle, add the 2 angles, 60 and 60.

60 + 60 = 120.

Then subtract from 180.

180 - 120 = 60.

Hence, 60 is the answer.

Let me know if you have any questions.

~ Lily, from Brainly.

Note to asker: Write this down!

To find 1 missing angle:

A1 + A2 = TA - 180 = X (A1 = Angle1)

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Please help. Find the area of the composite figure

Answers

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = 225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

can someone help me please!!

Answers

Answer:

55°

Step-by-step explanation:

∠KJL=180° - 125 = 55°

KL=KJ

so, ∠KJL= ∠KLJ =55°

A town's population went from 40,000 to 50,000. What was the percent of change in the population?

Answers

It would be a 0.8% change

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

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

y+4=-2(x+1)

What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2

Answers

The area of the rectangle is A. 6000
A. 6,000 units^2

The area of a rectangle equals its length times its width. 60 • 100 = 6,000

Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?


I need help fast!

Answers

Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Help with this question please.

Answers

The answer is subtract the bottom equation from the top equation because you are solving to find the variable

A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?

Answers

Answer:

The mother will be 36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just multiply 12 and 3

Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them

Answers

Answer: 17/21

Step-by-step explanation:

Number of cities = 42

Fraction of cities that has lake = 5/42

Fraction of cities that have rivers = 29/42

The fraction of these 42 cities that have a lake or river running through them will then be:

= 5/42 + 29/42

= 34/42

= 17/21

Name two types of angles that are formed when a transversal cuts through parallel lines. HELP!!!

Answers

Answer:

In explanation below l

                                   v

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.  For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.

fill in the missing steps of the following sequence:

104, 60, __, 27, 21.5

Answers

Answer:

38

Step-by-step explanation:

reducing by half of 44, half of 22, half of 11

The square table has side lengths of 4 feet. What is the length of the diagonal?

Answers

Answer: 2 square root 2

Explanation: you can use the Pythagorean Theorem and do 4^2 + 4^2 = square root of 32 which is 2 square root 2
2 would be correct ^^

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

please help i’ll give brainless

Answers

Answer:

1. 12

2. 31

3. 37

4. 87

Choose one answer
Pls fast anyone

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

Answer:

B

Step-by-step explanation:

Pythagorean theorem states that a²+b²=c²

Through observation, I assumed that 8 was the hypotenuse

I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64

I subtracted 36 from 64 leaving me with 28=a²

Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat

Answers

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *

Answers

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

What fraction of people vacationed in another state?

Answers

Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]

$48 was sold at a loss of 10%. The loss was

Answers

Answer:
it was a loss of $4.8

Step-by-step explanation:
48 * 10/100 = 4.8
so the loss is= 48-4.8
=$43.3
He lost $4.8 because if you use the percentage calculator and you put “10 percent of 48” You will get that answe

If P is the incenter of triangle JKL, find PJ.

Answers

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

What is incenter?

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

i cant find out the answer for
the life of me

Answers

Answer:

A. h = (S/2πr) - r

Step-by-step explanation:

Solve the given for h:

S = 2πrh + 2πr²

Isolate h:

2πrh = S - 2πr²

Divide all terms by 2πr:

h = (S/2πr) - r

Correct choice is A

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