F(x)= x(x+3)(x+1)(x-4) has zeros at x=-3

F(x)= X(x+3)(x+1)(x-4) Has Zeros At X=-3

Answers

Answer 1

Answer:  C) Sometimes positive; sometimes negative

============================================================

Explanation:

Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5

Plug this into f(x)

f(x) = x(x+3)(x+1)(x-4)

f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)

f(-0.5) = -0.5(2.5)(0.5)(-4.5)

f(-0.5) = 2.8125

We get a positive value.

This shows that f(x) is positive on the region of -1 < x < 0

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

Now pick a value between x = 0 and x = 4. I'll use x = 1

f(x) = x(x+3)(x+1)(x-4)

f(1) = 1(1+3)(1+1)(1-4)

f(1) = 1(4)(2)(-3)

f(1) = -24

Therefore, f(x) is negative on the interval 0 < x < 4

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

In short, f(x) is both positive and negative on the interval -1 < x < 4

It's positive when -1 < x < 0

And it's negative when 0 < x < 4

Answer 2

Answer:

sometimes positive sometimes negative

Step-by-step explanation:

I did it on Khan Academy


Related Questions

A man walks 10 miles in x hours. How far does he walk in one hour?

Which expression represents this?

10 + x miles
10x miles
miles

Answers

10x miles is the answer xxxxxxxx

Answer:

10/x represents how far he walks in one hour

Step-by-step explanation:

it says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost?

Answers

$1 = $20.19 pesos, try dividing 510 pesos by 20.19. That should give you the dollar amount.

does anyone know what this is ?

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

2(6x + 1) - 4(x - 5) = -2

Answers

Answer:

x=−3

Step-by-step explanation:

2(6x+1)−4(x−5)=−2

Step 1: Simplify both sides of the equation.

2(6x+1)−4(x−5)=−2

(2)(6x)+(2)(1)+(−4)(x)+(−4)(−5)=−2(Distribute)

12x+2+−4x+20=−2

(12x+−4x)+(2+20)=−2(Combine Like Terms)

8x+22=−2

8x+22=−2

Step 2: Subtract 22 from both sides.

8x+22−22=−2−22

8x=−24

Step 3: Divide both sides by 8.

8x/8=−24/8

The answer is X=-3b

f(x)=x^3-6x^2+11x-6 is (x-4)

Answers

Answer: 10

Step-by-step explanation:

Answer:

x-4

Step-by-step explanation:

trust me!!

Simplify (2/3 + 1/6).
Write the sum in the simplest form.

Answers

Lcm of denominators = 3,6= 6

2x2/3x2 + 1/6

(4/6+1/6=5/6

Sum is 5/6
The answer would be 5/6
Because you find the common denominator so it would be 4/6 +1/6= 5/6

Hope this helps

Have a great day/night

Feel free to ask any questions

Can someone help me with this problem! I WILL GIVE A BRAINIEST!!! I need it asap PLEASE.

Answers

Answer:

(

1

)

(

3

2

+

6

)

Step-by-step explanation:

PLEASE HELPP MEEE!!
I will give brainliest

Answers

Answer:

The 3rd one

Step-by-step explanation:

Let find angle z

Using law of sines

[tex] \frac{xy}{ \sin(z) } = \frac{xz}{ \sin(y) } [/tex]

Plug in the numbers

[tex] \frac{43}{ \sin(x) } = \frac{40}{ \sin(68) } [/tex]

Flip both equations

[tex] \frac{ \sin(x) }{43} = \frac{ \sin(68) }{40} [/tex]

where z=85.4 or 94.6

Using the triangle interior sun theorem,

if z=85.4 let add up all so The first 2 are rules out angles to make sure they add up to 180.

[tex]if \: z = 85.4[/tex]

[tex]85.4 + 68 + x = 180[/tex]

[tex]x = 153.4[/tex]

[tex]x = 26.6[/tex]

The fourth one doesnt have 26.6 as a angle so it cant be that

Let try if z=94.6

[tex]68 + 94.6 + x = 180[/tex]

[tex]162.6 + x = 180[/tex]

[tex]x = 17.4[/tex]

The third one has that.

Also we reuse law of sines YZ=12.9 so it is the third one.

Quadrilateral ABCD is a rectangle. The measure of angle CBE is equal to 32°, find the
measure of angle BEC.

Answers

Answer:

116 degrees

Step-by-step explanation:

well from the picture we know this is a 45 45 90 style triangle therefore in if CBE is equal to 32 then ECB should also be equal to 32 leaving you with a total number of 64 degrees within the triangle. and in every triangle you must add up the degrees to 180 so if we subtract 64 from 180 we get 116 degrees for BEC

Answer: 116

Step-by-step explanation:

32 + 32 (because the angles are complementary) + 116 = 180!

Jaden is saving money to buy a bike that costs $290. He has saved $140 so far. He plans on saving $25 each week. Write and solve an equation to determine in how many weeks (identify the question) Jaden will have enough money to buy the bike.

What does the variable in question 4a represent?

Answers

Answer:

25w+140=290

He will have enough money in 6 weeks

w represents the amount of weeks

Step-by-step explanation:

25w+140=290

$25 every week + the original $140 = the total needed $290

Answer:

140 + 25w = 290

w = 6

Step-by-step explanation:

Goal: $290

Currently have $140

Saving $25 each week (variable)

Start with your given amounts :

(base) 140 + 25w (variable solving for) = 290 (goal you want equation to equal)

w stands for the amount of weeks for the goal to be reached

Solve:

140 + 25w = 290

subtract 140

25w = 150

divide 25

w=6

Double check (optional but suggested)

140 + 25 (6) = 290

140 + 150 = 290

290 = 290

correct

if you could answer this that would be so appreciated :).

Given are the lengths of two sides of a triangle. Find the range of the lengths for the third side. this is triangle inequality theorem.

1. 3.6, 10.8

2. 6.9, 3.2

3. 6, 4

I’m sorry for spam but I really need help
Only answer is you know the answer plz!

Answers

Answer:Triangle Inequality Theorem

The Triangle Inequality theorem states that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The Converse of the Triangle Inequality theorem states that

It is not possible to construct a triangle from three line segments if any of them is longer than the sum of the other two.

The length of s is greater than 3 and less than 11

Step-by-step explanation:

What is 38 times 4 plus the square root of 30

Answers

Answer:157.47722557

Step-by-step explanation:

A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?

Answers

Answer:

Population is the total number of people that fall into the description of those that the research concerns.

In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.

Sample. This is a subset of the population that the research is based on.

Sample = 1,000 people surveyed.

Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.

Parameter = Percentage of total population who have not smoked in 6 months.

Statistic = 21% of sample who have not smoked in 3 months.

50.0 divided by 100 equals??

Answers

Answer:

0.5

Step-by-step explanation:

Hopefully u got it right

Step-by-step explanation:

If you meant 50 divided by 100

[tex]\frac{50}{100} = \frac{1}{2}[/tex]

or just .5

If you meant 500 divided by 100

[tex]\frac{500}{100} = 5\\[/tex]

witch of the following statements are true​

Answers

it would be B, although it could be different if there’s a picture above

What is a venn diagram​

Answers

Answer:

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things

Venn diagrams help to visually represent the similarities and differences between two concepts.

28-3(2+4)+9


With explanation

Answers

Answer:

=19

Step-by-step explanation:

28-3*2+4)+9

28-3*6+9

28-18+9

=19

Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).

Answers

Answer:

(2+1×-3)(x) = 3×(-3)(x) =-9x

Answer:

(g · ƒ)(x) = –3x2 – 3

Step-by-step explanation:I took the test

2x+3y=1470 changed to slope intercept form, write a description which is clear precise and correct of how to graph the line using the slope intercept method,changes equation to to function notation and explains clearly what the graph of the equation represents. graph the equation and labels the intercept correctly. Write at least 3 sentences explaining how the graphs of the two equations are the same and how they are different.

Answers

Answer:

y= 490 - 2x

Step-by-step explanation:

Answer: Do I get brainliest if I try? 7 = 490 - 2x

Step-by-step explanation:

plz answer the picture below fast and correctly!

Answers

Answer:

a) BOC = 80⁰

b) COD = 60⁰

Step-by-step explanation:

..................

Answer:

BOC is 80 and COD is 60

Step-by-step explanation:

If DOF is 120 you subtract 40 from it because of of AOB then COD is the remaining of 180

help!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

it is how many more

Find the value of x.
2x
fi
80
27
60
x = [?]
Enter

Answers

the answer is x=18

hope that helped^^

Solve for p.
16p = 160

Answers

Answer

160 divided by 16 = 10

Answer: 16p=160:

P = 10

Step-by-step explanation:

If you times by ten at any time then just add a zero to the end. So just add a zero to 16 to make it 160

In this case your going to solve it like this:

160 / 16 = 10

Mariana gets $15 per hour working at McDonald's and Jayvon gets $15 per hour as well. Jayvon had $50 in the
bank to start. After how many weeks will Jayvon and Mariana have the same amount of money in their bank
accounts?

Answers

Answer:

What r the options?

Step-by-step explanation:

To solve this equation we must first -
2x - 4= 10
O subtract 4 from both sides
O add 4 to both sides
divide by 4
O multiply by 4

Answers

Answer:

divide by 4

Step-by-step explanation:

2x - 4 = 10

10 ÷ 4 = 2.5

2.5 ÷ 2 = 1.25

x = 1.25

Answer:

ADD 4 to both sides

Step-by-step explanation:

2x-4=10

2x+4=10+4

2x=10+4

2x=14

2x/14

x=7

Hope this helps:)

In this figure, angles R and S are complementary. Find the measure of angle S.
S
62°
R
PLEASE HELP ASAP

Answers

Answer:

Angle S is 28 degrees.

Step-by-step explanation:

You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are  180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.

What is m/3= -1.5 what is m???

Answers

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

Please help please help please URGENT PLEASE NEED HELP PLEASE FAST RESPONSE PLEASE

Answers

Answer:

x = -4, x = 4

Step-by-step explanation:

A denominator cannot equal zero since division by zero is undefined.

Set the denominator equal to zero and solve for x. That will give you the values of x that would cause the denominator to be equal to zero and must be excluded from the domain.

x^2 - 16 = 0

(x + 4)(x - 4) = 0

x + 4 = 0  or  x - 4 = 0

x = -4  or  x = 4

Answer: x = -4, x = 4

4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16

Answers

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

B. Decide whether each quantity is constant or variable
1. The number of eggs in a dozen. 2*12 = 24 eggs
.
2. The number of a person's heartbeat per minute. 12d
3. The number of minutes in an hour.
4. The length of a meter.
5. The number of enrollees in your school each year.
maayos na sagot po...​

Answers

Answer:

ituturo ko ang sagot pero follow me muna sa brainly

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