The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 . What is the value of b?

Answers

Answer 1
Answer: the axis of symmety is the x value of the vertex

to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a

3x^2+bx+4=0
3/2=vertex

-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9
Answer 2
Answer:

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2. The value of b is -9.

What is a function?

The function is a type of relation, or rule, that maps one input to a specific single output.

The axis of symmetry for the graph of the function

f(x) = 3x2 + bx + 4

x = 3/2 .

In order to find the b value of the vertex of ax^2 + bx + c=0

x = -b/2a

3x^2+bx+4 = 0

Given;

3/2 = vertex

-b/2(3) = 3/2

-b/6 = 3/2

-b = 18/2

-b = 9

b=-9

Thus, The value of b is -9.

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Billy invests £800 for 5 years in a savings account.By the end of the 5 years he has received a total of £96 simple interest.
Work out the annual rate of simple interest.

Answers

Answer:

2.4%

Step-by-step explanation:

Simple interest (I) is calculated as

I = (PRT)/(100)

where P is the principal, R the rate of interest and T time in years

Here I = 96, P = 800 and T = 5, thus

96 = (800R(5))/(100) = (4000R)/(100) = 40R ( divide both sides by 40 )

R = (96)/(40) = 2.4%

What is the equation of a circle with (2,-5) and radius 4

Answers

it is 
(x-2)^2+(y+5)^2=16

Given: x + 2 < -5. Choose the solution set.

{x | x R, x < -7}
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < 7}

Answers

The answer is -7 for sure

Answer:

A. {x | x R, x < -7}

Step-by-step explanation:

TIMED PLEASE HURRYTwo hundred students were surveyed about their favorite fruit. How many more students preferred apples than cherries?


2

4

35

70

Answers

The total number of students who preferred apples than cherries are 70 if the two hundred students were surveyed about their favorite fruit option, fourth is correct.

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

From the diagram, we can see the total 35% students preferred apples.

Total number of students = 200

The number of students who preferred apples than cherries = 200×35%

= 200(35/100)

= 2(35)

= 70

Thus, the total number of students who preferred apples than cherries are 70 if the two hundred students were surveyed about their favorite fruit option fourth is correct.

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Answer:

The answer is 4.

Step-by-step explanation:

I believe that, if I'm correct, 2 students are equal to 1%. 2 x 35 = 70. 2 x 33 = 66. 70 - 66 = 4 more students. I hope this is correct.

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?(1) the square root of 10
(2) 5 times the square root of 10
(3) 5 times the square root of 2
(4) 25 times the square root of 2

Answers

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_(AB) = \sqrt{( x_(2)-x_(1))^2+{(y_(2)-y_(1))^2}
x_(1) =1, x_(2) =-2, y_(1) =2, y_(2) =3
D_(AB)= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_(AB)= \sqrt{(2+1)^2+{(3-4)^2}
D_(AB)= √((3)^2+(-1)^2)
D_(AB)= √(9+1)
D_(AB)= √(10)

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×√(10)

The answer is (2)

the answer is (2) because using the distance formula which can be found on your browser, it will lead us to the answer 5 radical 10

Can someone help with these??!??

Answers

Answer:

x-3=13

9m=45

x/6=18

x+17=25

7x=28

Step-by-step explanation:

simple stuff u got this bruh