Pls help Ive been here since nine this morning...

f(x)=4.5x^2-3x+2

fine the horizontal tangent line

Answers

Answer 1

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D


Related Questions

Can someone help me pls

Answers

Slope is -3/2.

Equation in slope intercept form is: y=-3/2-2

Equation in point slope form is:
y+2=-3/2x-3/2.

If you want the un simplified version of the equation in point slope form it is: y- -2= -3/2(x+1)

Hope this helps!! :)

uh so im kind of in a hurry rn and need these 3 done, my brain isnt functioning and ive forgotten how to do this, an explanation would be fine but its not needed, 70 points to the person that can solve these!

Answers

Answer:

1: 25 3: 15.5

Step-by-step explanation:

1: divided 16 into 80, then multiplied 5 by 5.

3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit Reflection about the x-axis followed by a translation to the left by 1 unit Reflection about the y-axis followed by a translation to the right by 1 unit

Answers

1 2 and 4 are the corrects answers I’m sorry if wrong

20 points solve (x-3)(x^2+3x+9)=37

Answers

Answer:

the answer is x = 4.

1. use the quadratic formula.

2. use a coordinate plane to check your answer.

hope this helps.

Answer:

x = 4

Step-by-step explanation:

(x - 3)(x² + 3x + 9) = 37 ← distribute left side

x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms

x³ - 27 = 37 ( add 27 to both sides )

x³ = 64 ( take cube root of both sides )

x = [tex]\sqrt[3]{64}[/tex] = 4

Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1

Answers

Answer:

2

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer

PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!

Answers

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

Mark me BRAINLIEST
Just gonna say nothing……. You need 2 ppl to mark someone brainlest

plase answer the second one
thanks​

Answers

Answer:

0,01

Step-by-step explanation:

0,0001 = 1 / 10000

√0,0001

= √( 1 / 10000 )

= √1 / √10000

= 1 / 100

= 0,01

Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?

Answers

D, she needs to make 5 more treats.

Answer:

D) 5 more treats

Step-by-step explanation:

Number of required treats:

37*4 = 148

Remaining number of treats:

148 - 143 = 5

Correct choice is D

will give brainliest
f(x) = 2x - 4
g(x) = 4x + 5
Find (fºg)(x)

Answers

It’s 16-14 will get you 18 and then subtract -4 will find G over x

Identify the independent and dependent variables. Then, write a rule in function notation for the situation, letting x represent the independent variable.
A hair stylist's fee is $20 for each haircut.

Answers

Answer:

independent: number of haircuts

dependent: total income

rule: f(x) = 20x

Step-by-step explanation:

Just put the amount the hairdresser is earning and the unknown value together? Lol

HELP PLEASE, LOOK AT PICTURE FOR WHOLE PROBLEM.. PLEASE ANSWER QUICK I DON'T HAVE MUCH TIME LEFT TO ANSWER

Answers

Answer:

2[tex]\sqrt{8}[/tex]

Step-by-step explanation:

According to Euclidian theorem :

h^2 = 4*8

h^2 = 32 find the root for both sides

h = 2[tex]\sqrt{8}[/tex]

What is 564.2+3.006-1.6?

Answers

Answer:

565.606, is shown step by step in the picture

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

How do I find x in this ?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

[tex]x = 450[/tex]

Refer to attachment for solution ~

WILL MARK BRAINLIEST IF YOU ANSWER BOTH QUESTIONS WITH SOLUTION

Answers

Answer:

1. = 3xy + x - 2y - 4

2. = d^2(2c^3-8c^2d+3d^2)

Step-by-step explanation:

= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy

First factor the top equation ….

= 3xy(3xy + x - 2y - 4)/3xy

If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….

= 3xy + x - 2y - 4

= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4

First factor the top equation ....

= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4

If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….

= d^6(2c^3-8c^2d+3d^2)/d^4

Apply the exponent rule with d^6 ....

= d^4d^2(2c^3-8c^2d+3d^2)/d^4

cancel out d^4 ....

= d^2(2c^3-8c^2d+3d^2)

each chicken coop can hold 8 chickens what's the maximum of chickens that can fit in 7 Coops?​

Answers

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

Triangle DEF is a scale drawing of triangle ABC.
What is the scale factor?

Answers

Step-by-step explanation:

every line uses the same factor.

a factor is something you multiply with.

so, what was the factor that turned 9 into 3 ?

9 × x = 3

x = 3/9 = 1/3

that is the scale factor.

The equation y = -4X -1 Has a slope of _______ possible answer choices: -4,-1, no slope and 0) and a y-intercept of possible answer choices: -4, -1 0 and no y-intercept)_______?

Answers

Answer:

slope = - 4 , y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 1

Answer:

-4 then -1

Step-by-step explanation:

The number behind the x value is the gradient and the last number is the y - intercept.

Please help me please

Answers

1. she makes a profit

2.300$

3.25%

C.

1.3000$

2.9000$

ok done. Thank to me :>

Which equation has the same solution as 7x−14=21?

Answers

Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5

PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D

Answers

Answer:

The answer is B!

Step-by-step explanation:

Using the vertical line test, two points meet while up and down. It'd be B.

please answer it i need help

Answers

This is karma for doing this to some one else :)

regdcd gvfd vcds xgrcd xre dse dxf crdx vcfx gvf c fcvr fvcrdgbv

Evaluate (x + 3)? – 6 when x = 4.​

Answers

Answer:

D. 43

Step-by-step explanation:

1. To evaluate the expression, we plug in the value of 4 into x and simplify.

[tex](4+3)^2-6[/tex] [tex](7)^2-6[/tex] [tex]49-6[/tex] [tex]43[/tex]

Therefore, the answer is D. 43.

Answer:

43

Step-by-step explanation:

(4 + 3)^2 - 6

7^2 - 6

49 - 6

43

9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.

Answers

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

The sum of 3.25 and twice a number is -7.

What is the number? Enter your answer as a decimal.

n = ​

Answers

Answer:  -5.125

Step-by-step explanation:

Let X be the "number."

The sum of 3.25 and twice a number is -7.

3.25 + 2X = -7

2X = -10.25

X = -5.125

Answer:

n = -5.125

Step-by-step explanation: I took the test

LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?

Answers

Answer:

21 she has 21 nickels

Step-by-step explanation:

Googel

The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.

Given that, LeAnnne has $4 in dimes and nickels.

Let the number of dimes be d and the number of nickels be n.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

She has 10 more dimes than nickels.

That is, d=n+10

So, 0.05n+0.10d=4

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

5n+10(n+10)=400

5n+10n+100=400

15n=300

n=20

d=n+10

d=30

Therefore, the number of nickels LeAnne has 20.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?


A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y

Answers

25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.

All of the other options are incorrect.

I hope this helps! :)

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

47 is the correct answer.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

divide 473 by 10

473 divided by 10 = 47

A computer can download 250 megabyte (MB) of a movie file in 25 seconds thenHow long does the computer take to download the whole file of size 1.8 GB? ​

Answers

1.8 * 1000=1800/250*25=180

thats the answer 180seconds

10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.​

Answers

Answer:

Above is the step-by-step solution.

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