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

Please solve this quickly.

Answers

the answers are 6ft & 4ft

-5/6e-2/3=-24 what does e=

Answers

Answer:

-5e/6-2/3=-24

Step-by-step explanation:

This question is Algebra 1 - write linear functions from word problems

Answers

Takes away 10 each week so 2 weeks would be 20 etc etc
Y= 293 - 10x

Answer: y = -10x + 293

Step-by-step explanation:

Since you start with $293, this is your intercept.

Since you withdraw $10 per week, your m is -10. Per in a sentence means rate of change.

I need help with dis. (*_*)

Answers

Answer:

Uh, okay...

Step-by-step explanation:

A) -40-180=-220

B)-220-175=-395

C)-395-185=-585

D) Sorry I can't read it my eyesight's bad TwT

Which expressions are equivalent to 35x + 3. Select the TWO that apply.

25x + 315x

45x - 15x + 3

25x + 335x - 1

1 + 35x + 2

1 + x5+ 2

1 + 25x + 3

Answers

45x-15x+3
And
1+35x+2

Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog

Answers

Twenty two percentage

does anyone know how to do this? find the X,Z,Y

Answers

Sorry it’s a bit messy! If you have any questions just ask

which of the following shows a way to factor the expression -6x+18

Answers

Answer:

x=24

Step-by-step explanation:

1. try to put x by itself

2. move the -6 but turn it into a positive

3. add 18 and 6 and that becomes your answer and equals to x

Hii!

______________________________________________________

Answer:

Step-by-step explanation:

Note that, -6x and 18 have something in common. This "something" is -6, so we factor it out by dividing both terms of the expression by it.

We obtain.

-x+3

Put parentheses around it.

(-x+3)

Put 6 outside the parentheses

6(-x+3)

--

Hope that this helped! Best wishes.

--

Please solve this math problem... I will mark you brainliest

Answers

Answer:

22

Step-by-step explanation:

22x2=44

44+15=59

Answer:

22

Step-by-step explanation:

2x22+15 =59°

hope this helps

PLEASE HELP IT’S TIMED!!!! 50 POINTS!!!

Answers

i believe it is b, i hope you get this one right babe

5x+y=-2y-31. 2y+10=-4x-12

What is the X and Y

Answers

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

Describe the location of the point having the following coordinates.


nonzero abscissa, negative ordinate



O Quadrant l or Quadrant IV

O Quadrant III or Quadrant IV

O Quadrant II or Quadrant IV

O Quadrant lor Quadrant II​

Answers

Answer:

Quadrant III or Quadrant IV

Step-by-step explanation:

i Hope it's helpful for you

Quadrant Ill or Quadrant IV

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this

Answers

Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg

Step-by-step explanation:

$85 [tex]\leq[/tex] $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be [tex]\leq[/tex] $85/month, thus we get:

$85 [tex]\leq[/tex] $65 + ($5)*gg

What two-dimensional cross-sections could be created by slicing a triangular prism?

Select all that apply.

trapezoid

hexagon

square

rectangle

ellipse

triangle

Answers

Answer:

Triangle I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangle

DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST

Answers

3 x 3 = 9, 3 x 3 = 9, 9 x 9 = 81
A is 81

7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

1000000000/ 10000000 = 100

C is 100

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

giving brainliest to someone earning it

Answers

Answer:

um... okie

Step-by-step explanation:

I don’t understand what’s it asking for and I don’t know the answer

Answers

The question is asking you to put the ordered pair, (8,1) and m, which is the slope, 9, in the formula! We will replace y1 with 1, our y, and x1 with 8, our x! Then we will replace m with 9, our slope. This will give us y-1=9(x-8). If you want to simplify that equation, using the distributive property it would be, y-1=9x-72.

If you want me to explain linear equations, slopes, or whatever just ask!

Hope this helped!! :)

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0

What is the y-intercept of the line?

Answers

Answer:

34

Step-by-step explanation:

We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.

: 50=16+b

: 50-16=b

: 34=b

So, in conclusion, the y intercept is 34. Hope this helps!

the average attendance at a club fell by 7% in 2015. if 2030 fewer people went in 2015, how many went in 2014?​

Answers

Answer:

300

Step-by-step explanation:

All you had to be is take 2030 and divide by 7 percents

which statement is correctly written as a conditional statement ​

Answers

Answer:

a shape has four sides,or it is a quadrilateral

Find the volume of this prism.
8cm,9cm,11cm
V=0.5 time 8cm time 9cm time 11cm
V(answer)=396cm2
I hope it's right.

Answers

Answer:

792 cm³

Step-by-step explanation:

Volume of prism:

V = lwh

Substitute dimensions:

V = 8*9*11 = 792 cm³


How would you best describe the angle pair
<3 and <8

Answers

Answer:

Vertical angles

Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7. 88 per share and Prince Waste Collection is worth $16. 59 per share. If Kristen sells all of her stocks, how much money will she receive? a. $657. 39 b. $1,366. 59 c. $1,227. 23 d. $1,296. 91.

Answers

Answer:

the answer to your question is B.) $1,366.59

Find the sum of the first 15 terms of the AP:11,5,-1,-7

Answers

Here is ur answer

- BRAINLIEST ANSWERER

I WILL GIVE BRAINLIEST

Answers

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

-----------------------------------------------------------

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

Solve 3(x - 4) = 11x

Answers

Answer:

[tex]x = \frac{-3}{2}[/tex]

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

[tex]\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\[/tex]

Simplify fraction:

[tex]x = \frac{-12}{8}[/tex]

[tex]x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}[/tex]

Hope this helps!

Noah has 3 meters of rope. How many 3/4 meter pieces of rope can he cut from it?

Answers

Answer:

4

Step-by-step explanation:

3/(3/4)=4

I don’t get this question I’m stuck on it can someone help me please

Answers

Answer:

GH = 12 units

HJ = 12 units

JG = 12 units

Perimeter = GH + HJ + KG

= 12 + 12 + 12

= 24 units

which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33

Answers

Answer:

13

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

Answer:

the answer is D 33

Step-by-step explanation:

Help pls ? I just need this one question :,)

Answers

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

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