Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.

Answers

Answer 1

Step-by-step explanation:

y = -3x² + 12x - 33

y = -3[x² - 4x + 11]

y = -3[(x - 2)² + 7]

Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.

Therefore the correct option is A.


Related Questions

Randy wants to attach a 23 foot string of lights to the top of the 13 foot mast of his sail boat. How far from the base of the mast should he attach the end of the light string?

Answers

Answer:

distance from the base where string is attached = 18.97 feet

Step-by-step explanation:

The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:

(hypotenuse)² = (opposite)² + (adjacent)²

23² = 13² + d²

529 = 169 + d²

d² = 529 - 169

d² = 360

d = √(360)

d = 18.97 feet

Select the correct answer from each drop-down menu.
Consider functions hand k.

For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse

Answers

Answer:

not equal to

are not

Step-by-step explanation:

guessed on plato and got it right. Thank You!!!!

Answer:

The correct answers are:

Not equal to

Are not

Step-by-step explanation:

I got it right on the Edmentum test.

I need to know where to place the dot​

Answers

Answer:

in your but

Step-by-step explanation:

nah jk its 3,-3

What is the product??????

Answers

Answer:

but the answer is 0

Step-by-step explanation: i don't know the step by step thing ok

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches.
Which measurement is closest to the volume of water in the fishbowl in cubic inches?
A 2,144.66 in
B 17,157.28 in?
C 5,461.67 in?
D 6,433.98 in.

Answers

Answer:

2, 144.6 in3

Step-by-step explanation:

just fill in the blanks pls tyy

Answers

Sowwy I do not know

I hope you have a good day tho

There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will be blue

Answers

Answer:

2/3

Step-by-step explanation:

First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.

Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.

Finally, you simplify the fraction. 20/30=2/3.

Answer:

75% i think

Step-by-step explanation:


write each percent as a fraction in simplest form
60%​

Answers

Answer:

3/5

Step-by-step explanation:

ir would be 6/10 but simplified it would be 3/5

6/10 would be the answer

-2g – 2m + 5, when g=-3 and m= 10

Answers

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9

what is the horizontal asymptote for this graph

Answers

Answer:

Y=0

Step-by-step explanation:

Write 5/3 as a mixed number.

Answers

Answer:

1 [tex]\frac{2}{3}[/tex]

One and two thirds

Step-by-step explanation:

Divide the numerator by 3

Write down the whole number answer

Use the remainder as the new numerator over the denominator, which is the fraction part of the mixed number.

I hope this helps!!

The fraction 5/3 as a mixed number is  [tex]1\frac{2}{3}[/tex].

To write the fraction 5/3 as a mixed number, we need to find the whole number and the proper fraction parts.

A mixed number is a combination of a whole number and a proper fraction (where the numerator is smaller than the denominator).

Divide the numerator (5) by the denominator (3).

5 ÷ 3 = 1 with a remainder of 2

The quotient (1) represents the whole number part, and the remainder (2) becomes the numerator of the proper fraction.

The denominator remains the same, which is 3.

Hence, the mixed number representation of 5/3 is [tex]1\frac{2}{3}[/tex].

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?​

Answers

Answer:

5 is 45% of 11.11

Step-by-step explanation:

The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip? (Hint: using factorization) (A) 65 (B) 64 (C) 63 (D) 66 (E) 67

Answers

Answer:

65

Step-by-step explanation:

From the given information:

Let consider p to be the total numbers of the cookies

If there are 1000 chocolate chips in the jar;

The number of chocolate chips if we remove one chocolate chips = 1000 -1

= 999

The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p

Thus, to achieve a whole number, p is required to be a factor of 999

By factorization of 999, we get:

36 > p > 12;  Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27

Thus, the number of cookies in the jar "p"= 27

However, the number of chocolate chips on with the extra chocolate chip

= 999/p + 1

= 999/27 + 1

= 37 + 1

= 38

Thus, the sum of the number of cookies in the jar +  the number of chocolate chips on with the extra chocolate chip

= 27 + 38

= 65

i need the equation in slope intercept form in fraction form
(-2,2),(2,0)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{0-2}{2-(-2)}[/tex]

[tex]\frac{-2}{4}[/tex]

[tex]\frac{-1}{2}[/tex]

How many components is this?

CH11H2O

Answers

Answer:

15 components.

Step-by-step explanation:

There is one Carbon, 11 hydrogen, 2 hydrogen, and one oxygen... Add it all tg and thats what you get... Hope this helped you!! Give brainliest..

2.Write 784,229 in expanded form

Answers

Answer:700,000+80,000+4,000+200+20+9

Step-by-step explanation:

That should be the answer.

The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must have a different​ title, how many possible selections are​ there?

Answers

Answer:

Concept: Statistics

They will receive 5 booksThere are 23 titles There must be a different title each time.Hence there are 23 total selections

Answer:

u will try urself ......okay ...

...

8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost

Answers

Answer:

a T-shirt costs £5

a hat costs £2

Step-by-step explanation:

Suppose

A T-shirt=x

A Hat=y

So the equation is

8x+y=42

3x+y=17

So

8x+y=42

3x+y=17

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

5x=25

x=5

So a T-shirt costs £5

3.5+y=17

15+y=17

y=2

So a hat costs £2

Answer:

t-shirt: £5

hat: £2

Step-by-step explanation:

Please see the attached picture for the full solution.

identify the center

Answers

2nd center is the answer

PLEASE ANSWER ASAP THANKSSS :)


Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?

$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.

Answers

Answer:

The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )

Step-by-step explanation:

Write the power set of the set A={a,b,c}​

Answers

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

[tex]2^n[/tex] ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

[tex]2^3=8[/tex]

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Kyle makes $81 in 9 hours.
A. How much does Kyle earn per hour?

Answers

Answer:

$0.11111111111111111111

Step-by-step explanation:

:)

Pls mark brain if I helped

12/4 - 1 3/4 can someone please help?

Answers

Your answer is 1 1/4

Answer:

1.25 other words 1 1/4

Step-by-step explanation:

So I what I did was turn them into decimals: 12/4= 3 and 1 3/4= 1.75. So then I just subtracted 3 from 1.75 which equals 1.25 which is the same as 1 1/4

hope this helps! (lmk if have further questions)

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

Answers

Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.

Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?

Answers

Answer:

Molly earned $856 on the first day.

Step-by-step explanation:

From the information given, you know that over 3 days Molly earned $2,568 which is:

x+y+z=2568, where:

x is the amount earned on the first day

y is the amount earned on the second day

z is the amount earned on the third day

Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.

Now you can replace x and y in the first equation and solve for y:

2y+y+3y=2568

6y=2568

y=2568/6

y=428

No, you can replace the value of y to find x and z:

x=2(428)

x=856

z=3(428)

z=1284

According to this, the answer is that Molly earned $856 on the first day.

Please help!! I included a pic of the problem to make it easier.

Find the quotient (z/w)

z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)

[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these

Answers

Answer: i think it is D

we have:

[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]

Step-by-step explanation:

11. Solve the problem.
Al earns $8.75 per hour and wants to buy a Kindle for $149. About how many hours must he work?
about 10 hours

Answers

Answer:

18

Step-by-step explanation:

149/8.75 = 17.02

If he gets paid by the hour, it has to be rounded upwards.

100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.

Identify the correct description and appropriate set of values for the domain of the function.

Group of answer choices

the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets

the number of candy bars; the set of all real numbers from 0 to 300

the amount made from selling the candy bars; the set of all real numbers from 0 to 300

the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets

Answers

Answer:

its c

Step-by-step explanation:

i just too quiz and it siad this

Answer:

c

Step-by-step explanation:

took the quiz and got 100% on it

What quadrilateral has one pair of opposite angles are congruent.

Answers

Kite........................

A kite can be the Quadrilateral

Pauline eats 75% of the total candies in the goodie bag. she eats 21 candies. enter the number of candies in paulines goodie bag

Answers

Answer:

75% is = to 3/4 and 21/3= 7 and 7*4= 28 so there's 28 candies in the bag

Step-by-step explanation:

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