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

help asap I have 2 min

Answers

Number one I think I’m so sorry if I’m wrong !!
Hope this helped !

Match each expression to its simplified answer
9x-3y + 5y

Answers

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

9x - 3y + 5y

Step 2: Simplify

Combine like terms (y): 9x + 2y

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry’s cousin has a good singing voice
C.) Henry is in the choir
D.) Henry’s cousin went to an audition

Answers

Answer:

Henry's cousin has a good singing voice

Step-by-step explanation:

Answer:

D: Henry’s cousin went to an audition.

Step-by-step explanation:

I took the test

NEED HELP ASAP PLEASE!!!!!!!!

Answers

ANSWER

X = 70

Explanation: in an isosceles triangle the two bases equal each other

Equation set up - 2x + 2x + 40 = 180

Step-by-step explanation:

PQR = PRQ = 2x ° ( base angle of an isosceles are equal ) .

therefore

PQR + PRQ + QPR = 180° ( sum of angles in a triangle )

2x + 2x + 40 = 180

4x + 40 = 180

subtract 40 from both sides

4x = 140

divide through by 4

x = 35°

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x

Answers

9514 1404 393

Answer:

(a) f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

f(x) = 85(1 -0.25)^x . . . . matches the first choice

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

To learn more about the exponential decay;

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what is 325 x 6 for middle school 5th grade math

Answers

Answer:

Step-by-step explanation:

1950

Answer:

1,950

Step-by-step explanation:

I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.

Evaluate the following using a nmber line:-4+-5+3

Answers

Answer:

-6

Step-by-step explanation:

-4+-5=-9

-9+3=-6

326 ÷ 53 Then, check using multiplacation.

Answers

Answer:

the answer is 6,150

Step-by-step explanation:

Sorry if im wrong

Answer:

it is 6.150

Step-by-step explanation:

divide 360 its groups of 53 and you get 6.150

Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?

Answers

Answer:

Where's the graph? I need the graph to answer

Approximately 175 cups of tea can Christina expect to sell during the eighth hour.

We need to find how many cups of tea can Christina expect to sell during the eighth hour.

How to interpret the graph?

To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.

From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.

Therefore, 175 cups of tea were sold.

To learn more about the graphs visit:

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A rose bush grew from 24 inches to 36 inches in two weeks. What was the percent increase?

Answers

Answer:

50 percent increase

Step-by-step explanation:

Answer:

50% increase

Step-by-step explanation:

36-24=12

12/24=.50

What is the probability that Mark and Bobby will both choose mushrooms?

Answers

what is the rest of the question

Answer: choose mushrooms out of what?

Fill in the table using this function rule.
y=29-4x

Answers

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

ASAP!!!!!!!!!!!! I NEED HELP!!!!! I WILL MARK BRAINLIEST!!!!!!!

Answers

I think your answer is 9, as 3 divided by 9 is 0.3 is equal to 1/3

I think the answer would be 9

Find the area of the rhombus! Please help!

Answers

Answer:

100m

Step-by-step explanation:

First, find the area of one triangle. Use l*w/2 to do that.

10*5=50

50/2=25

Multiply this by 4 to get the total area

25*4=100

Have a good day!

Focus Question: How do you determine whether a real-world context should be
represented by a linear function or an exponential function?

Answers

Answer:

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.

B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is

Answers

Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

Pulling out like terms

3.1 Pull out like factors :

(5x - 5) = 5 • (x - 1)

Find the midpoint of the segment with the following endpoints.
(10, 7) (2, 1)

Answers

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

PLEASE HELP!! THANK YOU!!

Answers

Step-by-step explanation:

i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D

Answer:

(0,-2)

Step-by-step explanation:

Parallelograms have parallel lines and equal opposite lines.

You can count.

For Ex: A is 1 above and 5 to the left of B.

So D should be 1 above and 5 to the left of C.

C is at (5,-3)

Go up 1 and left 5 and you get (0,-2)

60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?

Answers

Answer:

16:60 = 4/15

Step-by-step explanation:

what is the value of y for which a ll b

Answers

Answer:

110

Step-by-step explanation:

Jeremy can type 220 words in 4 minutes. That means he can type how many words per minute?

Answers

Answer:

Step-by-step explanation:

220 divided by 4, is 55.

Do 220/4

That will give you your answer for words per minute.

Have a nice day!!!

During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?

Answers

Answer:

The percentage increase in sales is 54.45%

Step-by-step explanation:

Here, we want to calculate the percentage increase

mathematically the increase in sales is 17-11 = 6

The percentage increase is ;

6/11 * 100% = 54.45%

Francis used the distributive property of multiplication to help him solve the equation 6 x 2 = ________. Francis did not get the same answer for each side of the expression. Explain the steps required to correct his mistake. 6 x 2 = (3 x 2) + (4 x 2) 12 = 6 + 8 12 = 14

Answers

Solution :

The distributive property of multiplication :

It is given that we have to find the solution for the below expression using the distributive property of multiplication,

So 6 x 2 = __________

Using distributive property, we can write :

⇒ 6 x 2 = 12

⇒ (3 + 3) x (2 ) = 12

⇒ (3 x 2) + (3 x 2) = 12

⇒ 6 + 6 = 12

⇒ 12 = 12

40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?

Answers

Answer:

the answer is 4

Step-by-step explanation:

Help get brainiest if u help

Answers

Answer:

32ft by 20ft

Step-by-step explanation:

8x4 and 5x4

................................................
....

Answers

Answer:

HAVE A GOOD DAY :)))))))) <3

Step-by-step explanation:

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

Step-by-step explanation:

200 - 130

be SPEEDY! Name two
perpendicular lines and two parallel lines.

Answers

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle. Hope this helps :))

I need help with this

Answers

Answer:

Step-by-step explanation:

add

Find the value of x in the isosceles triangle shown below.
Choose 1 answer
A. x = 3
B. x = square root of 26
C. x = 6
D. x = square root of 52

Answers

Answer:

x=6

Step-by-step explanation:

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