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

Find the measure of each angle.
Pls help I’m so confused

Answers

Answer:

1: 63°

2: 117°

3: 63°

jjskwnwb

Need help ASAP!!!!!!!!

Answers

Answer:

24/35

Step-by-step explanation:

The 15th term of an arithmetic sequence is 110 and the 19rd term of the sequence is 134.
a) Find the common difference.
b) Find the first term.
c) What is the 25th term?

Answers

Step-by-step explanation:

a) Common Difference = ?

15th term = 110

19th = 134

134 - 110

= 24/4

= 6

Common Difference = 6

b) First term = ?

110 = x+ (14) 6

x = 110 - 84

x = 26

First term = 26

c) 25th term = ?

= x 25 = 26+ (25)6

= x 25 = 176

25th term = 176.

Please help me thank you so much!!!!!!!!

Answers

2.5m x 2 hope it helps your welcome

Help plz Its due today and I need help so if u would plz answer I would appreciate it

Answers

The answer is C because u have to combine the like terms in this problem you would subtract the two problems

hey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so much. If answer is right I will mark you brainliest. Have a good night.

Answers

Answer:

[tex]y = x - 8[/tex]

Step-by-step explanation:

Slope-intercept form is:

[tex]y = mx + b[/tex]

Where m = slope and b = y-intercept.

It is stated that the slope of the line is 1.

It is stated that the line includes the point (0, 8)

To find the y-intercept, we can just inverse the slope-intercept form to solve for b.

[tex]b =y-mx[/tex]

We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.

Then, we just have to plug those numbers in, as well as the slope.

[tex]b = 0 - (1)(8)[/tex]

Simplify.

[tex]b = 0 - 8[/tex]

Simplify again.

[tex]b = -8[/tex]

Now, we know that b = -8.

All we have left is to plug the slope and y-intercept into the slope-intercept form.

[tex]y = x - 8[/tex]

PLEASE, help! thank u
4th time

Answers

Answer:

I do not no the answer but I had an assignment on khan like this before so maybe check khan academy if u haven't yet

Remember that vertical angles are congruent and same side exterior angles are congruent, and that suppelmentary angles are 180° total.

Is the product of two binomials always a trinomial? Give an example to support your answer.

Answers

Answer:

Consider: (a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

Step-by-step explanation:

(a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

I will mark Brainlyst

Answers

I think it is D
(I think)

Match the missing angle measurement to the diagram

Answers

You have to have a picture of the question bro

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

A mirror is placed on the ground between a 6 ft person and a
tree. If the mirror is 8 feet from the person and the distance
between the mirror and tree is 26 feet, find the height of the tree.

Answers

Answer:

Step-by-step explanation:

h/26=6/8

h=26(6)/8

h=19.5 ft

The radius of the circle is given in meters. What is the circumference of the circle? Use
3.14 for a pi

Answers

Answer:

50.24 meters

Step-by-step explanation:

The equation for the circumference of a circle: 2πr

2 x 3.14 x 8 = 50.24

I need help please! Thank you.

Answers

Answer:

Step-by-step explanation:

< UTY + <RWX = 180°

( same side interior angle theorem ) → < UTY + <RWX = 180°

What is 3 divided by 4?

Answers

Answer:

3/4 is 75/100 or 0.75

Step-by-step explanation:

What are the zeros of the polynomial function?

Answers

Answer

12 and 20

Step-by-step explanation:

Geometry student reference sheet

Answers

Answer:

i am so sorry but i need points a=5

You are a T.V. salesperson who gets an 8% commission. How much commission do you
get when you sell a $400 T.V.?

Answers

Answer:

400 x 8% = $32.00

Step-by-step explanation:

A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?​

Answers

Answer:

80 + 15x ≤ 300

Step-by-step explanation:

max amount = $300

already spent = $80

$300 - 80 = $220

shirts = $15 each

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

1/3 x 3/8 with steps please. And thank you.

Answers

Answer:

(1/3) * (3/8) = 1/8

Step-by-step explanation:

Multiple: 1/3* 3/8

= 1 · 3/3 ·8

= 3/24

= 1  3/8·3

= 1/8

With a coupon, you can get a pair of shoes that normally costs $96 for $72. What percentage was the discount?

Answers

Answer:

25%

Step-by-step explanation:

96 - 72 = 24

24/96 = 0.25

0.25 = 25%

hope this helps!!

Answer:

The discount is 25%.

Step-by-step explanation:

Because you're solving for the discount, that means you have to set up the equation 72 = 96x, where x is the percent of the original price. The percent would then be 1 - x, and that would be 25% as your answer.

a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answers

Answer:

Step-by-step explanation:

a. The diameter of the circle will be 30 cm

So circumference is 3.14 * 30  = 94.2 cm.

b. Required percentage = (94.2) * 100 / (4*30)

= 78.5%.

Please tell me the steps to get to the answer.​

Answers

Answer:

10 cm x 15 cm i think

Step-by-step explanation:

Answer:

Area = 1/2 bh

Step-by-step explanation:

10 x 15 = 150/2 which is 75

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Answers

Answer:

[tex]\displaystyle \sqrt{34}\:units ≈ 5,8\:units[/tex]

Step-by-step explanation:

No matter what happens to the shape, except for dilation, the sise will be the same, so just insert the lengths of the altitude and base into the formula, no matter if it is point D or B because of the Reflexive Property:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 3^2 + 5^2 = c^2 → 9 + 25 = c^2 → 34 = c^2 \\ \\ \sqrt{34} = \sqrt{c^2} \\ \\ 5,830951895 ≈ c → 5,8 ≈ c[/tex]

I am joyous to assist you at any time.

Please help it’s due today

Answers

Answer: C f(x) = 16*(1/2)^ (x-1)

Step-by-step explanation:

You are dividing by 2 each time

PLS HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

ASA

Step-by-step explanation:

Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?

Answers

You would divide then round up 1,386÷10= 139

A physicist needs 3,220 g of titanium to complete an experiment. She has 3 kg. How many more
kilograms of titanium does she need?
The physicist needs kg more.
(Type an integer or a decimal.)

Answers

Answer: 0.22kg

Step-by-step explanation:

if she has 3 kg then she has 3000 g. 3220-3000=220 So she needs 220 more grams of titanium. If she needs to convert how much more from grams to kilograms then 220g= 0.22kg so she needs 0.22 kg more

To check work

3kg+0.22kg= 3.22kg

3.22kg= 3,220g

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

Answers

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

i need a number for this question !!!! hurry pleasee !!!!!!

Answers

Answer:

1

Step-by-step explanation:

every output has a different input so the answer would be one

Answer:

A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value, and the output value is the dependent value, as it depends on the value of the input.

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