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

Pranav's school is selling tickets
to a fall musical. On the first
day of ticket sales the school
sold 12 adult tickets and 7
student tickets for a total of
$124. The school took in $20
on the second day by selling 1
adult ticket and 3 student
tickets.
What is the price each of one
adult ticket and one student
ticket?

Answers

Adult tickets are 8 dollars and student tickets are 4!

What is a rate? I will mark Brainiest

Answers

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

is this table a function? why or why not?

Answers

no because each time it goes up by (1) and in the last one it goes up (2 times) and then decreases (4 times) on the right.

I can’t solve or bring myself to understand it :/ I’m having difficulties

Answers

Answer:

x = 50

Step-by-step explanation:

Since the output is 0, x^2 is 2500 but written differently.

Just take the square root of 2500, which is 50.

50^2 = 2500

2500 - 2500 = 0

Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!

Answers

The answer is : y = 0

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

please help need done before 2

Answers

Answer:

130.25ft

Step-by-step explanation:

a^2+b^2=c^2

5.5^2+10^2=

30.25+100=

what 15 yards in feet

Answers

Answer:

Step-by-step explanation:

1 yard= 3 feet

If light travels 6.71x10 exponent 8 miles in one hour how many miles will it travel in 1 minute

Answers

Answer:

1.118 3 ¯ repeating ⋅ 10 exponent 7

Step-by-step explanation:

6 x - 2 (x - 5) = 22

Answers

Answer:

x = 2.75

Step-by-step explanation:

6x - 2 (x - 5) = 22

6x -2x + 10 = 22

4x + 10 = 22

- 10 - 10

4x = 11

11/4 = 2.75

x = 2.75

Let me know if you need any more help!

can someone help? (look at image)

Answers

Answer:

n (-3,0) m (-4,4) l (0,3)

Step-by-step explanation:

I have bad eyesight but I think this is correct

What is the value of x in 0.5x+8=1.2x-6

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 20

Step-by-step explanation:

0.5x+8=-7.2

0.5x=-7.2-8

0.5x=-15.2

×=-15.2÷0.5

x=30.4

What is the sum?
8+(-12)
-20
24
4
20

Answers

Answer:

-4

Step-by-step explanation:

adding a negative is the same as subtracting a positive

xoxo, your highness...

Answer: 24

8 + (-12) = -4

-4 + (-20) = -24

-24 + 24 = 0

0 + 4 = 4

20 + 4 = 24

Approximate the value of (square root)17 to the nearest tenth.

Answers

Answer:

4.1

Step-by-step explanation:

√17= 4.12310562561

the nearest tenth is 4.1

Answer:

4.1

Step-by-step explanation:

√17

4.1 (to nearest tenth)

WHICH OF THE FOLLOWING IS THE SLOPE?

Answers

i think it’s answer d

Triangle JKL is rotated 45 degrees counterclockwise using the origin as the center of rotation

Answers

Answer:it is a my lad

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the rule when reflecting across the line y = x

Answers

Answer: switch the x and y values of the coordinates

(x, y) —> (y, x)

Please help... the question is in the picture

Answers

Answer:

Step-by-step explanation:

Plz, Help me with this question!!!!

Answers

Answer:

152y+125

Step-by-step explanation:

Beau buys a 3 pound bag for a hike. He wants to make 4 ounce bags for his friend going with him. How many 4 ounce bags can he make?

Answers

Answer:

12 bags

Step-by-step explanation:

3 pounds = 48 ounces

48 ÷ 4 = 12

Answer:

12 bags

Step-by-step explanation:

if x+1/x = 5 find the value of x^3 +1/x^3. pls solve

Answers

Answer:

1) solve x+1/x = 5

[tex] \frac{x + 1}{x} = 5[/tex]

[tex]x + 1 = 5x[/tex]

[tex]x - 5x = - 1[/tex]

[tex] - 4x = - 1[/tex]

[tex]x = \frac{ -1}{ - 4} [/tex]

[tex]x = \frac{1}{4} [/tex]

2) solve x³+1/x³

[tex]x {}^{3} + \frac{1}{x {}^{3} } [/tex]

substitute x = 1/4 into the expression

[tex]( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} } [/tex]

[tex] \frac{1}{64} + \frac{1}{ \frac{1}{64} } [/tex]

[tex] \frac{1}{64} + \frac{64 \times 1}{1} [/tex]

[tex] \frac{1}{64} + 64[/tex]

[tex] \frac{4097}{64} \: or \: 64.02[/tex]

Mr. Trujillo wants to paint a wall which contains a french door in his breakfast area as shown in the diagram below.

How many square feet of wall does Mr. Trujillo need to paint?

Answers

Answer:

the answer to this question that you are asking is 18 because it just is

[tex]y > 3x + 9 y < 3x - 1[/tex]
please help is it infinite number of solutions, or no solution

Answers

Answer:

no solution

Step-by-step explanation:

Brainlest if correct

Answers

I believe that the answer is B

what is 90% of 130?

Answers

Answer:

117

Step-by-step explanation:

(0.9)(130)

=117

Answer:

117

Step-by-step explanation:

Step 1:

[tex]\frac{x}{130} = \frac{90}{100}[/tex] Equation

Step 2:

100x = 11700 Multiply

Step 3:

x = 11700 ÷ 100 Divide

Answer:

117

Hope This Helps :)

please help me, this isn't a test or quiz I just need some help.

Answers

the right is answer is B) alternate exterior

Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.

Answers

Answer:

x = -30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2

Step 2: Solve for x

Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms: -0.1x + 2 = 0.2x + 11Add 0.1x on both sides: 2 = 0.3x + 11Isolate x term: -9 = 0.3xIsolate x: -30 = xRewrite: x = -30

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2Multiply: -22 + 27 = -7.2 + 12.2Add: 5 = 5

Here we see that 5 does indeed equal 5.

∴ x = -30 is the solution to the equation.

I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each! WILL GIVE BRAINLYEST!!!

Answers

Answer:

Where is the pic?

I will answer in the comments or edit my answer once u post the pic!

2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?

mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°

Answers

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

This is the answer hope it helps

if u had a picture i could give further details

Hope this helped

Answer:

What if I told you I guessed

Step-by-step explanation:

but submitted and got it correct

...

its C:)

What is the area of the figure
A 234 in
B 315 in
C 225 in
D 252 in

Answers

D is the right answer one

Whats the sum of -32 and 4?

A.-27
B.-3
C.3
D.27

Answers

Answer: -28

Step-by-step explanation:

The answer is not in the choices but it’s -28 if you add -32 and 4.

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Men have less fear of offending one who makes himself loved than one who makes himself feared, since love is held in place by a bond of obligation which, because men are wretched, is broken at every opportunity for utility to oneself, but fear is held in place by a fear of punishment that never abandons youNevertheless, the prince must make himself feared in such a way that, although he does not acquire love, he avoids hatred; because he can endure very well being feared whilst he is not hated, which will always be as long as he abstains from the property of his citizens and subjects and from their women. But when it is necessary for him to proceed against the life of someone, he must do it on proper justification and for manifest cause, but above all things he must keep his hands off the property of others, because men more quickly forget the death of their father than the loss of their patrimony. 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