Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 5)(x + 3)(x - 2)2

Sketch The Graph Of The Function Below, Including Correct Signs, X-intercepts And Y-intercepts.f(x) =

Answers

Answer 1

Answer:

if you learned derivative:

f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)

  =4x³+12x²-26x-28=0

⇒x=2; =-0.84; =-4.16

⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)

if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing

Step-by-step explanation:


Related Questions

What is the LCM for 12 and 4

Answers

Answer:

12

Step-by-step explanation:

Write
2^
3/2
in surd form.

Answers

Answer:

[tex] {2}^{ \frac{3}{2} } = \sqrt[3]{ {2}^{2} }\\= \sqrt[3]{ {4}}[/tex]

The surd form is : [tex](\sqrt{2} )^3[/tex]

[tex](\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}[/tex]

It gives in the approximate value is : 2.80

What is surd form?

Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.

We have from the question is:

Write in the surd form:

=> [tex]2^\frac{3}{2}[/tex]

Now, According to the definition:

Write like this:

[tex]2^\frac{3}{2}=((\sqrt{2} )^2)^\frac{3}{2}[/tex]

Cancel out the:

2 × 3/2 = 3

So, [tex](\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}[/tex]

It gives in the approximate value is : 2.80

But, The surd form is : [tex](\sqrt{2} )^3[/tex]

Learn more about surd form at:

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Please help me solve this ASAP

Answers

Answer:

$21

Step-by-step explanation:

Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x

If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21

Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21

You spin the spinner and flip a coin. Find the probability of the compound event.

A spinner is divided into 5 equal regions. The sections are labeled 1, 2, 3, 4, and 5.

The probability of spinning a prime number and not flipping heads is
.

Answers

3/10

2, 3, and 4 are prime numbers. Those are three numbers worth. The maximum number on the spinner is 5 so you multiply 5 by 2 and get 10. Again, 3 numbers are prime numbers. So from there you add 3 and 10 as a fraction and get 3/10

-papichulo is back

What happens to the mean of the data set shown below if the number 3 is added to the data set? A. The mean increases by 2. B. The mean does not change. C. The mean decreases by 0.25. D. The mean increases by 1.

Answers

Answer: B : Mean Does Not change

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

I took the quiz and put B and got it wrong so don't trust his answer


Help I’ll mark as brainliest !!!

Answers

Answer:

a. substracting...................

Subtract. If you use the PEMDAS or. PEMDAS would be starting with Parenthesis then Equations then Multiplication than Division then Addition the Subtraction.

The edges on Zachary's snowboard are chlpped and dented from riding over rocks, so Zachary wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Zachary figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Zachary sells 43 cups of hot chocolate. Now, he needs to sell 47 more cups to buy the snowboard. Which equation can you use to find the total number of cups c Zachary must sell to buy the snowboard?​

Answers

Answer:

c-43=47

Step-by-step explanation:

Well this is kinda obvious.

He already sold 43 cups of hot choclate and he needed 47 more.

So the total amount of cups is (c) so we can make an equation like this

c-43 (since theres total which is unknown so ”c” and then Theres the already sold 43 cups).

c-43=47 (the 47 is the amount he needs to sell)

So final equation to determine total cups needed

c-43=47

cual es la razon de 0.240 y 0.12

Answers

Answer:

8686787876876

Step-by-step explanation:

67886868768768p765756u565656t443o

Sally is 3 years older than Jill was 5 years ago. Write an algebraic expression for both of their ages. If Jill is 10, how old is Sally?

Answers

Answer: 13 (and Sally will always be 3 years older than Jill)

Step-by-step explanation:

Let S and J stand for Sally and Jill's ages.  We are told:

(S-5) = (J-5)+3  [Sally is 3 years older than Jill was 5 years ago] The 5 years ago is the reason for the (S-5) and (J-5) expressions.

If Jill is 10, how old is Sally?

 (S-5) = (J-5)+3

 (S-5) = (10-5)+3

 S-5 = 8

 S = 13

We actually don't really need an equation for solving this, other than the question asks us to write one.  It doesn't matter how many years later, since Sally is 3 years older, she will always remain 3 years older, if we ignore the likelihood that the statement doesn't hold true for the period between their actual birthdays.

!HELP! What Is the Value of W??

Answers

Answer:  

W equals 31.17

Step-by-step explanation:

Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y< -5

Answers

Answer:

The vertices of both where they cross show (-4,1)

Step-by-step explanation:

3y > 2x + 12

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

= x> -5

set = together

x < 3(y - 4)  / 2  shows dotted ascending line attached through x=-6

This means x=--6 y = 0

x>-5 shows boundary dotted vertical line through -5

this means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.

As seen attached when both are plotted with dash dotted boundary lines.

The vertices of both show (-5,1)

This is not math sorry! Also this is multiple choice so I have to chose all the answers thst apply

Answers

It’s the last one which would be an ecosystem

what is the answer to 4x=8

Answers

Answer:

2

Step-by-step explanation:

Shrek ✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

using the graph, determine the coordinates of the roots of the parabola​

Answers

Answer:

(-1, 4)

Step-by-step explanation:

Use of the coordinate plane.

The vertex of the parabola is 1 to the left and up 4.

Think of the vertex as where the curve starts.

Answer:

-3 and 1

Step-by-step explanation:

Hello!

The roots of the parabola are the intersections of the graph and the x-axis (y = 0).

Since the graph's vertex is above the x-axis and opens down, the graph has two roots.

The points of intersection are:

[tex](-3,0)[/tex][tex](1,0)[/tex]

Therefore, the roots of the parabola are -3 and 1.

please helppppp I will mark brainliest

Answers

4 units your welcome and if it’s not what ur looking for ask me

If 1 in = 2.54 cm, how many inches are in 328 cm?


please help it’s due soon

Answers

The answer is 129.134 inches!

Answer:

129.1 inches

Step-by-step explanation:

Recall that 2.54 cm = 1 in.

Write 328 cm and recognize that we need to convert this to inches:

328 cm      i in

------------ * ------------- = 129.1 inches

      1          2.54 cm

What is the equation for the line shown, in slope-intercept form?
Question 8 options:

A) y = 2x - 2


B) y = -2x + 4


C) y = -4x - 2


D) y = -2x - 4

Answers

Answer: Solution In Photo

Answer:

D) y = -2x - 4

Step-by-step explanation:

Use the points:

(-2, 0) and (0, -4)

The y- intercept is  - 4 and the slope is:

m = (-4 - 0)/(0 - (-2)) = -2

The line is:

y = -2x - 4

Correct choice is D

solve the triangle congruence using the word bank

Answers

Answer:

I don't know I'm sorry man!

May I please receive help?


Please?

Answers

Answer:

Step-by-step explanation:

Rewrite all the equations in standard form of y=mx+b

1. Parallel: They have the same slope of -(3/5)

2. Neither

3. Neither

Look at link/picture

Answers

In order for this to become a true statement, the value of n would have to be 5

i need help! do i subtract the 45-64? or add!?

Answers

Answer:

19°

Step-by-step explanation:

180-64=116

116+45=161

180-161=19

Answer:

B) 19

Step-by-step explanation:

find the other angle of W first.

to do that, take 180 - 64

that makes angle W 116

add angle W and angle Y

116 +45 = 161

take 180 - your answer

180 - 161 = 19

B is your answer

have a wonderful day <3

Which ordered pairs in the form (x, y) are solutions to the equation

7x−5y=28?

Select each correct answer.


(−6, −14)

(−1, −7)

(7, 9)

(4, 10)

Answers

(-6, -14) and (-1, -7) are both solutions to the equation 7x-5y=28

Answer:

(-6, -14), (-1,-7)

Step-by-step explanation:

The equation is a plug and play just plug in the X and Y values of your original equation.

[50 pts, will mark right answer as Brainliest] A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag. Problem What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?

Answers

Answer:

114

Step-by-step explanation:

Total number of tickets:

6 + 2 + 8 + 4 = 20

Number of slushie or an ice cream sundae prize tickets:

8 + 4 = 12

Probability of drawing a slushie or an ice cream sundae prize ticket:

12/20 = 0.6

Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:

190*0.6 = 114

Diane is going to rent a truck for one day. There are two companies she can choose from, and they have
Company A charges $74 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
>
ISO
DO
Х

Answers

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.

How much simple interest does $4,678.00 earn in 529 days at a rate of 7.3%? Round to the nearest cent.

Answers

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

PLZ Help!!!
the ratio of a rectangle's length to width is 4:17. if the longer side is 31.5 in., find the width, perimeter, and area of this rectangle

Answers

Answer:

L = 31.5

w = (4/7)31.5 = 18

p = 2 * 31.5 + 2 * 18

A = 31.5 * 18

Step-by-step explanation:

Yw

What are the solutions to the system of equations graphed below?
8
6
4
2
-
-6
-4
4
6.
8
O A. (2, 8) and (0, -3)
B. (-3,0) and (3, 0)
C. (4,8) and (0, -8)
O D. (2,0) and (0,8)

Answers

Answer:

B. (-3,0) and (3,0)

Step-by-step explanation:

The curved line crosses through both of these points, and these points are the only ones out of all the choices, to line up perfectly. Remember that ordered pairs (x,y) represent the x and y values.

I really tried to explain this to you, so let me know if this helped :)

The solution of the system of equations graphed are (4,8) and (0, -8)

What is a system of equations?

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.

Given that is a graph of system of equations, we need to find the solution,

We know that the common solutions are the intersecting points of the equations.

So, here the curve and the line are intersecting at (4,8) and (0, -8)

Hence, the solution of the system of equations graphed are (4,8) and (0, -8)

Learn more about system of equations click;

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find the difference and round to the nearest hundreths if necessary : 6.04 / 2.4

Answers

Answer:

2.52

Step-by-step explanation:

5. Which point lies on the line: y - 4 = -3(x + 2)?

Answers

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

What is the quotient
2mºnº
4mºn
in simplest form? Assume m+0,1 +0.
man
2
m7n
2
6mln
Ο Ο.
8mn

Answers

Step-by-step explanation:

the first option : -(m¹²n⁶)/2

why ?

we can go through factor by factor of the multiplication/fraction.

2/-4 = -1/2

m⁹/m^-3 = m^(9 - -3) = m¹²

n⁴/n^‐2 = n^(4 ‐ -2) = n⁶

when we put all 3 factors back together, we get the mentioned result.

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