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 please asap!!

Answers

Answer:I don't know this one

Step-by-step explanation:

What is 1sq ft x11ft

Answers

Answer:

The answer will be 311.485313 liters

Step-by-step explanation:

Because I searched it up

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

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.

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

Answers

3? i don’t know or maybe 10

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

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.

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

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.

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

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!)

need help here pleaseeee

Answers

Y= 1/2x is the correct answer

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

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

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

HELP I NEED HELP ASAP

Answers

Answer:A??

Step-by-step explanation:

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:

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 ♡

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.

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

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

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

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:

what is 49cm^2 in mm^2

Answers

Answer:

4900mm^2 or 24010000mm

Step-by-step explanation:

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

Answers

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

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

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:

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

Answers

Answer: see picture :)

Step-by-step explanation:

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.

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:

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