Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help

Answers

Answer 1

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing


Related Questions

Simplify.
Rewrite the expression in the form 8".
(8-8)(83) =

Answers

Answer:

Simplifying th exprsssion brings it down to zero

Hope this helps

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.

Answers

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

The anterior cruciate ligament (acl) is one of the ligaments that help stabilize the knee. surgery is often recommended if the acl is completely torn, and recovery time from the surgery can be lengthy. a medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. to test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn acl were randomly assigned to receive either the standard procedure or the new procedure. based on the design of the study, would a statistically significant result allow the medical center to conclude that the new procedure causes a reduction in recovery time compared to the standard procedure, for patients similar to those in the study? explain your answer

Answers

A statistically significant result will allow the medical center to conclude that the new procedure causes a reduction in recovery time.

What is a Statistically significant result?

A result is statistically significant if there's a very low probability that it could have occurred by chance.

What this means is that the reduction in the recovery time was truly as a result of the new procedure which is why it will be adopted by the medical center.

Read more about Statistically significant result here https://brainly.com/question/15848236

Can someone please help?

Simplify, 81^1/4

Answers

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

help me out i will give brainlist

Answers

Answer:

no

Step-by-step explanation:

0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100

she requires to have 60 out of 100 , that is

[tex]\frac{60}{100}[/tex] = 0.6

What are the steps to solving?

Answers

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{25^2-7^2}=a\implies \sqrt{576}=a\implies 24=a~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{adjacent}{24}}[/tex]

What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])

Answers

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

What is the range of the function?

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

[tex]y = \sin^{-1}x[/tex]

The above function can be written as,

[tex]\sin y = x[/tex]

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

[tex]-1\leq x\leq1[/tex]

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]

Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

https://brainly.com/question/2264373

Answer:

C {-pi/2,-pi/2}

Step-by-step explanation:

A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevation from one end of the tunnel to the other.

Answers

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

The steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:

Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14

Which of these is most likely the next step?

5x = 14
5x = 10
5x = 13
5x = 15

Answers

Answer:

5x=15. I hope it can help you a lots. thanks.

Step-by-step explanation:

5x=14+1

5×=14.

16=2(-8t-1)(t-2) solve for t​

Answers

hi there! so here's my answer

[tex] \rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

Step-by-step explanation:

[tex] \color{gray} \tt \: 16 = 2( - 8t - 1) \times (t - 2)[/tex]

calculate the difference

[tex]\color{gray} \tt \: 16 = 2(- 9)(t - 2)[/tex]

multiplying an odd number of negative terms makes the product negative

[tex]\color{gray} \tt \: 16=^ \ 2*9(t-2)[/tex]

multiply the numbers

[tex]\color{gray} \tt \: 16=-18 (t-2)[/tex]

distribute - 18 trough the parentheses

[tex]\color{gray} \tt \: 16 = - 18t + 36[/tex]

move the variable to the left hand side and change its sign

[tex]\color{gray} \tt \:16+18t=36[/tex]

move the constant to the right-hand side and change its sign

[tex]\color{gray} \tt \:18t=36-16 [/tex]

substract

[tex]\color{gray} \tt \:18t=20 [/tex]

by both sides of the equation by 18

[tex] \:\rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

hope it helps

3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?

Answers

They can finish in 1 way

Which parabola will have one real solution with the line y = x – 5? y = x2 x – 4 y = x2 2x – 1 y = x2 6x 9 y = x2 7x 4

Answers

System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

What is the discriminant in the quadratic equation?

A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is  ax² + bx + c = 0.

The quadratic equation formula for the solution of roots.

[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]

The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation

If D is greater than zero then the roots are real and distinct.

If D is equal to zero then the roots are real and equal.

If D is less than zero then the roots are imaginary and unequal.

y = x² + 7x + 4

From First option, System of equations

y = x² + x – 4

y = x – 5

So, x - 5 = x² + x – 4

x² + x – 4 - x + 5 = 0

x² + 1 = 0

discriminant = b²- 4×a×c

= 0²- 4×1×1

-4 < 0, therefore the equation has no real roots.

From Second option, System of equations

y = x² + 2x – 1

y = x – 5

So, x - 5 = x² + 2x – 1

x² + 2x - 1  - x + 5 = 0

x² + x + 4 = 0

discriminant = b²- 4×a×c

= 1²-4×1×4

-15 < 0   therefore, the equation has no real roots.

From Third option, System of equations

y = x² + 6x + 9

y = x – 5

So, x - 5 = x² + 6x + 9

x² + 6x + 9  - x + 5 = 0

x² + 5x + 4 = 0

discriminant = b²- 4×a×c

= 5²-4×1×4

9 > 0 therefore, the equation has two different real roots.

From Fourth option, System of equations

y = x² + 7x + 4

y = x – 5

So. x - 5 = x² + 7x + 4

x² + 7x + 4 - x + 5 = 0

x² + 6x + 9 = 0

discriminant = b²- 4×a×c

= 6²-4×1×9 = 0

0  therefore, the equation has one real root.

Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

Learn more about quadratic equations;

https://brainly.com/question/2263981

Answer:

D on edge

Step-by-step explanation:

If square root 6 is the geometric mean between 4 and another number, then the number is?

Answers

Answer:

The answer is 1.5

pls give brainliest ily<3

A bag contains 16 blue marbles, 12 red marbles, and 12 green marbles.

If Malik randomly draws a marble from the bag (and puts it back) 25 times, how many times should he expect to pull a blue marble?

Answers

The random selection of a blue marble is an illustration of probability

You should expected to pull a blue marble 10 times

How to determine the expected blue marble?

The given parameters are:

Blue = 16

Red = 12

Green = 12

The total number of marbles is:

Total = 16 + 12 + 12

So we have:

Total = 40

The probability of selecting a blue marble is:

[tex]P(Blue) = \frac{16}{40}[/tex]

When 25 marbles are selected, the expected number of blue is:

[tex]Blue = n * P(Blue)[/tex]

So, we have:

[tex]Blue = 25 * 16/40[/tex]

[tex]Blue = 10[/tex]

Hence, the expected number of blue marbles is 10

Read more about expected values at:

https://brainly.com/question/15858152

Item 3
Solve for b.

16=a2+b2



b=16−a2

b=4−a

b=±16+a2−−−−−−√

b=±16−a2−−−−−−√

Answers

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

Its A

Step-by-step explanation

just trust me

Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?

Answers

Answer:

  6 games

Step-by-step explanation:

The number of games can be found by determining the number of groups of 10 Maria can make.

 62/10 = 6.2

Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.

help me pls pls pls

nonsense=report

nice answer=brainles

pls dont waste my point
​​​

Answers

6. D   ---> Length of all the sides

7. E    ---> a tool

8. A    ---> 3 sides

9. B    ---> 5 sides

10. C   ---> 4 sides

Please answer I am stuck on this problem

Answers

Answer:

20+2C

Step-by-step explanation:

sum means addition

if Craig's age is c than twice his age is 2xC, also expressed as 2C

20+2C

Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza

Answers

Answer:

i don't really know but I love pizza

I really need help!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.

Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105

What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel? Please answer it correctly.

Answers

Answer:

Square

Step-by-step explanation:

Requirements that make a square, a square;

Four sidesCongruent angles (all 90°)Opposite sides are congruent/the same.Opposite sides are also parallel because the lines of a square do not intersect.

Answer:

Square

Explanation:

A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.

Please look at attached image for reference.

Zoe has a circular shaped rug on her bedroom floor. The diameter of the rug is 8 feet. What is the circumference of the rug?

Answers

Answer:

It is 25.13 (simplified)

Step-by-step explanation:

3.14(pi) x 8 is 25.14

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Answer:

3mm

Step-by-step explanation:

4 (3/4)

4x3/4

=3

brainiest please

Answer:

3 mm

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]

Where,

a is the side length of the square. Here, a = [tex] \sf \: \dfrac{3}{4} [/tex] mm

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]

[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]

Therefore,

The perimeter of the square is 3 mm

How much material is needed to make the popcorn container?

Answers

94 thank me later have a gooooooooooddddd day

I Don’t get this, someone help!!

Answers

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

look at the screenshot

Answers

Answer:

x = 5

y = 2

Step-by-step explanation:

multiply by -2 the second equation and add the first equation to eliminate "x"

[tex]4x+5y=30\\-4x-10y=-40[/tex]

_______________

            [tex]-5y=-10\\y=\frac{-10}{-5} =2[/tex]

To find "x", substitute the value of "y" in any equation. I do it in the first

[tex]4x+5(2)=30[/tex]

[tex]4x+10=30[/tex]

[tex]4x=30-10\\x=20/4=5[/tex]

Hope this helps

Answer:

i got you

Step-by-step explanation:

first you will make the easiest equation into y=mx+b

2x=5y=20

subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20

then you will substitute it into the y in the other equation 4x+5(2x+20)=30

after doin that you will multiply 5 by both the number in the parenthesis

4x+15x+100=30 add like terms 4x+15x =

19x+100=30 subtract 100 fromm itself and 30 you will get -70

-70 divided by 19x then you will get your answer

Noah finds some nickels and pennies in his change purse. How many coins does he
have if he has 100 nickels and 120 pennies? How many coins does he have if he has n
nickels and p pennies?

Answers

He has 100 + 120 = 220 coins in his purse.

He has n + p coins if he has n nickels and p pennies.

please explain how you got your answer because i cant grasp this :/

Answers

Answer:

39 sq inches

Area of sector = [tex]\frac{θ}{360}*\pi r^{2}[/tex]

Given: θ = 70°, radius (r) = 8 inches

Area of sector = [tex]\frac{70}{360} * \pi *8^{2}[/tex]

= 39.095

for further studies visit: https://brainly.com/question/22972014

hope it helps...

The table represents some points on the graph of a linear function
x y
-7 -2
-3 4
5 16
15 31
What is the rate of change of y with respect to for this function?

A. 2/3

B 3/2

C - 2/3

D - 3/2

Answers

Answer:

D

Step-by-step explanation:

C666666666666666666666

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