The axis of symmetry for the graph of the function f(x) = 3x^2 + bx + 4 is x = 3/2 . What is the value of b?

Answers

Answer 1

Answer:

b = -9

Step-by-step explanation:

Axis of symmetry of a parabola = -b / 2a.

Where y = ax² + bx + c.

Given f(x) = 3x^2 + bx + 4,

a = 3, and c = 4.

If the axis of symmetry is 3/2, than b can be found by substitution and algebra.

[ x = -b / 2a ] → [ 3 / 2 = -b / 2a ] →

[ 3 / 2 = -b / 2 (3) ] → [ 3 / 2 = -b / 6 ] →

[ 3 / 2 × 6 = -b / 6 × 6 ] → [ 18 / 2 = -b ] →

[ 9 = -b ] → [ -b = 9 ] → [ (-)(-b) = (-)(9) ] →

b = -9


Related Questions

please help asap
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 4/5 for the flowers to last the longest. Her cylinder vase has a radius of 4 inches and a height of 6 inches. How much water should Mary pour into the vase?

Answers

Answer:

Step-by-step explanation:

πr^2h=π·42·6≈301.59289

Simplify 4/5 to .8

Multiply 301.59289 by 0.8 to get 241.274312]

Sorry for the messy format in in school rn.

6. Which is a not a true statement about the figures shown below?
this is do soon thx

Answers

A or D they’re the same

Answer:

a and d

Step-by-step explanation:both the same answers hope this helps

In 4 hours Jessie can make 6 necklaces. How many necklaces can she make in 10 hours?

Answers

Answer:

13

Step-by-step explanation:

in 8 hrs she can make 12 then cn only make one more so

How can translations help you
sketch the graph of f(x) = x2 + 8x + 16?

Answers

Answer:

THE REAL ANSWER IS IN THE SCREEN SHOT HIS IS NO VIRUS LINK

Step-by-step explanation:

pls mark me brainliest

the values of w is inversely proportional to m .if w=8 then m=25; what is m when w=20?

Answers

Answer:

m = 10

Step-by-step explanation:

Given w is inversely proportional to m then the equation relating them is

w = [tex]\frac{k}{m}[/tex] ← k is the constant of variation

To find k use the condition w = 8, m = 25 , then

8 = [tex]\frac{k}{25}[/tex] ( multiply both sides by 25 )

200 = k

w = [tex]\frac{200}{m}[/tex] ← equation of variation

When w = 20 , then

20 = [tex]\frac{200}{m}[/tex] ( multiply both sides by m )

20m = 200 ( divide both sides by 20 )

m = 10

what is 49cm^2 in mm^2

Answers

Answer:

4900mm^2 or 24010000mm

Step-by-step explanation:

PLEASE HELP FAST!!!
Which equation has an undefined slope?

a) y = 6x + 0

b) x = 4

c) y = -4

d) y = -2/3x - 6

Answers

Answer:

Hello,

I just think that it is A

Why you may ask?

Because it has a Zero and that is an undefined number than

Step-by-step explanation:

Please I want brainest

Which of the following situations are equal to 40%? Select all that apply.
A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80

Answers

B,C,E (hope that helps!)

how did you get the number 8?

Answers

Answer:

gracias for the free points :)

Step-by-step explanation:

Answer:

From 8^2/8.

Step-by-step explanation:

Please please asap!!

Answers

Answer:I don't know this one

Step-by-step explanation:

how many songs can you play on sound cloud before a ad comes on

Answers

3? i don’t know or maybe 10

Which expression is equivalent to three eighths? (2 points)

a
8 ÷ 3
b
3 ÷ 8
c
8 − 3
d
3 − 8

Answers

Answer:

A

Step-by-step explanation:

Answer:

its A/ 8 divided by 3.

Kira's pet turtle is 18 inches in length. Which of these is equal to 18 inches? A) 1 1/2 yards B) 1 1/2 feet C) 2 yards D) 2 feet

Answers

Answer:

B

Step-by-step explanation:

1) There are 12 inches in a foot.

2) 18 inches minus 12 inches = 6 inches.

3) You have you your 1 foot and 6 inches which is 1/2 a foot.

4) 1 1/2 feet

Answer:

IS B)1 1/2 IM DOING THE TEST NOW AN I HATE IT

Step-by-step explanation:

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

need help here pleaseeee

Answers

Y= 1/2x is the correct answer

HELP I NEED HELP ASAP

Answers

Answer:A??

Step-by-step explanation:

11 sheets of A4 size paper weights 341 grams. Find the number of such sheets in a weight for 2 kg 666 grams of such paper?

Answers

86 sheets

One A4 paper weighs 31 grams, since 341/11=31

There are 2666 grams in 2kg and 666grams

2666/31=86

please help me with this please

Answers

Answer:

THE FIRST ANSWER IS 29+29+29+29

THE SECOND ANSWER IS 58

Step-by-step explanation:

How i got that answer is from it says square so i know that a square has 4 sides.

WILL GIVE BRAIN FIND THE UNKNOWNS TYSM!!!!

Answers

Answer:

if i'm correct you either divide the two numbers you have to get the answer or you multiply them to get the answer

Step-by-step explanation:

108 divided by 92

or

108 x 92

Between which two numbers is √8 located on a number line? ​

Answers

Answer:

√8 is between 2 and 3.

Step-by-step explanation:

♡ im sorry if its wrong ♡

If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).

Answers

f+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1

if i made 280 a month how much would i have in a year

Answers

Answer:

3360 dollars

Step-by-step explanation:

280 x 12 = 3360

Answer:

It esay answer is 3360

Step-by-step explanation:

Thereare 12 months in a year. You made 280 amonth.So multiple 280 and 12.

What is 1sq ft x11ft

Answers

Answer:

The answer will be 311.485313 liters

Step-by-step explanation:

Because I searched it up

how do you solve for u?

Answers

Answer:

u=9.8

Step-by-step explanation:

the minus sign on u and the minus sign on 9.8 cancel out so you get u=9.8.

A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight? Use 3.14 for pi.

Answers

i know im late but i will still grab these points

Answer: 28.27 m

Step-by-step explanation: A = 1/4 π d2= 1/4 * π * 6*2 ≈ 28.27

Answer: 28.27

Step-by-step explanation:

Helpppp?????????????

Answers

Okay sorry if it’s wrong but I think it’s A but if not I think B.

rationalize the denominator and simplify √6/ √5-√3​

Answers

Answer: see picture :)

Step-by-step explanation:

Tu bicicleta necesita ser reparada. Un mecánico cobra $ 22 por cada hora de trabajo y las piezas nuevas cuestan $ 23. El costo total para reparar la bicicleta es de $ 111. ¿Cuántas horas le tomó al mecánico arreglar la bicicleta?

Answers

Answer:

the number of hours that would be taken is 4

Step-by-step explanation:

The computation of the number of hours would be taken is shown below:

Let us assume the number of hours be x

Now according to the question

The equation is

$22x  + $23 = $111

$22x = $111 - $23

x = 4 hours

Hence, the number of hours that would be taken is 4

Brian buys 32 bottles of soy sauce, in total he has 4/800 ml of soy sauce. How much soy sauce would he have if he bought 23 bottles of soy sauce?

Answers

Answer:

23/6400 ml or 0.003594 ml

Step-by-step explanation:

Steps to determining the answer

Determine the quantity of soy sauce in one bottle by dividing 4/800 by 32The answer gotten in the above step is multiplied by 23 to determine the total amount of soy sauce in 23 bottles

Soy sauce in one bottle = total soy sauce in one bottle / total number of bottles

4/800 ÷ 32 =

4/800 x 1/32 = 1 / 6400

soy sauce in 23 bottles

1/6400 x 23 = 23/6400 ml or 0.003594 ml

a pyramid has a square base with side s. the height of the pyramid is 2/3 that of its side. what is the expression for the volume of the pyramid? ~~~
A. V=2s²
B. V=2s³
C. V=2/3s²
D. V= 2/9s³
E. V=1/3s³​

Answers

Answer:

D. V= 2/9s³

Step-by-step explanation:

Volume of square based pyramid:

V = 1/3 s²h

Given

h = 2/3s

Substitute

V = 1/3s² (2/3s) = 2/9s³

Correct choice is D

Answer:

volume of pyramid = 2/9s³

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