pls help and explain. I will give brainliest

Answer:  y = (-4/3)*sqrt(2/3)

This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]

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Explanation:

The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.

Your teacher has given you

y = x^3 - 2x

which differentiates into

dy/dx = 3x^2 - 2

after using the power rule

The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.

dy/dx = 0

3x^2 - 2 = 0

3x^2 = 2

x^2 = 2/3

x = sqrt(2/3)

Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]

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Now plug this x value back into the original equation to find its corresponding y coordinate.

y = x^3 - 2x

y = x(x^2 - 2)

y = sqrt(2/3)*( 2/3 - 2 )

y = sqrt(2/3)*( -4/3 )

y = (-4/3)*sqrt(2/3)

Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.

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Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)

All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).

Yes. When a graph has more than one line it is a piece wise graph.

I guess that we know that the angle θ is in the fourth quadrant, and we know that:

cos(θ) = 9/19

now we want to find the value of sin(θ).

To do it, we can remember that for a point (x, y), such that we can define an angle β between the positive x-axis and a ray that connects the origin with the point (x, y), we can write the relations:

tan(β) = x/y

sin(β) = y/√(x^2 + y^2)

cos(β) = x/√(x^2 + y^2)

Because the angle is in the fourth quadrant, we know that:

x > 0

y < 0.

And we also know that:

cos(θ) = 9/19

then we have:

x = 9

√(x^2 + y^2) = √(9^2 + y^2) = √(81 + y^2) = 19

Solving the above equation we can find the value of y, that we need to remember, is negative:

√(81 + y^2) = 19

81 + y^2 = 19^2

y^2 = 19^2 - 81 = 280

y = √280 = -16.7

Now that we know the value of y, we can replace that in the sine equation to get:

sin(θ) = -16.7/19 = -0.879

If you want to learn more, you can read:

https://brainly.com/question/19830127

Answer:

Answer:

= (y-1) (xy-z)

Step-by-step explanation:

First we expand them -

= xy^2 - xy - yz - z

= xy(y-1)-z(y-1)

= (y-1) (xy-z)

Hope this helped

Answer:

Everything that I get make me happy in my life such loving families who support me is the best my friends who help me in any situation. And most important is teacher who teach me and is helping me to become a successful person.

Answer:

The first one:)

Step-by-step explanation:

REMEMBER TO:

1. Give me Brainliest, please... (ASAP)

2. HAVE A WONDERFUL DAY!

Answer:

12 - 7 = 5

Step-by-step explanation:

Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.

= 3×4+3×3-5×2/12

=12+9-10/12

=21-10/12

=11/12

Answer:

Step-by-step explanation:

a) 4/9*x^4

b) 2/y

Answer:

$968.78

Step-by-step explanation:

multiply worked hours by her pay per hour

38.52×$25.15=

38.52×$25.15=$968.778

then you round it to the nearest hundredth

since the thousandth is greater than 5 the 8 will round the 7 to an 8

giving you $968.78

Answer: $977.50

Step-by-step explanation:

(38)(25.15)=955.70

(52)(25.15)/60=21.80

955.70 + 21.80 = 977.50

Answer:

See below

Step-by-step explanation:

40% own neither, it means 100% - 40% = 60% own either a dog or a cat.

Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.

Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.

Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.

All the numbers reflected in the attached Venn diagram:

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

Step-by-step explanation:

volume of triangular prism= area of cross section *length

volume of triangular prism= area of cross section *lengthv=(1/2bh)l

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40 =(35/2)40

=17.5*40

=700cm³

The volume of triangular prism is 700cm³

Answer:

Step-by-step explanation:

Good luck

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

Answer: [tex]x=1[/tex]

Step-by-step explanation:

[tex]2^x-4=4^x-6[/tex] is the equation that you've given us.

Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that [tex]x=1[/tex].

We can prove that by doing the following calculations to prove that both sides are equal to each other.

The left side of the equal sign:

Step 1: Write the equation down:

[tex]2^x-4[/tex]

Step 2: Substitute x for the numerical value we found.

[tex]2^1-4[/tex]

Step 3: Find the square of [tex]2^1[/tex], which is itself, 2.

[tex]2-4[/tex]

Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.

[tex]-2[/tex]

The right side of the equal sign:

Step 1: Write the equation down:

[tex]4^x-6[/tex]

Step 2: Substitute x for the numerical value we found.

[tex]4^1-6[/tex]

Step 3: Find the square of [tex]4^1[/tex], which is itself, 4.

[tex]4-6[/tex]

Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.

[tex]-2[/tex]

We know that [tex]x=1[/tex] because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.

[tex]-2=-2[/tex]

Answer:

absolute value

Step-by-step explanation:

Answer:

This shows the absolute value of an integer.

Step-by-step explanation:

When you see the lines | | around a number, it should always give you the answer of that number's positive integer. So lets say I out | -2 | the answer for this equation should be 2.

Answer:

16/c

Step-by-step explanation:

quotient means divide

16/c

Answer:

16/c

Step-by-step explanation:

since it says quotient...

u got to divide

Answer:

4x+1

Step-by-step explanation:

Ufbxkdjdnskkxkdd

Answer:

D. 4x + 1

Step-by-step explanation:

[tex](f+g)(x)=x-4+3x+5\\(f+g)(x)=4x+1[/tex]

Answer:

A

because x is the horizontal axis and it is moved forward by two because of the addition of 2

Answer:

She will get more money than what she will get in the question

Answer:

Equation

ans = -1

Step-by-step explanation:

3x-2=-5

3x=-5+2

3x=-3

x=-3/3

x=-1

Answer:

75 - 35y / 3 + 2y = -4

( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]

( 75 - 29y ) / 3 = -4

75 - 29y = -12

29y = 75+12

29y = 87

y = 3

hope that helps ✌

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

Answer:

36

Step-by-step explanation:

Зас

Let a =3 and c = 4

3*3*4

9*4

36

Answer:

1/144

Step-by-step explanation: I presume..

And recall something from Algebra...

I hope it helps...

Square it

And reverse it because of the negative

It is a fraction

Answer:

[tex] = { \sf{ \frac{1}{ 144 } }}[/tex]

Step-by-step explanation:

[tex] = { \tt{ \frac{1}{ {12}^{2} } }} = \frac{1}{144} [/tex]

Answer:

3×3×10^5×10^2

9×10^5-2

9×10³

Answer with explanation:

Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.

Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.

Answer:

67 degrees

Step-by-step explanation:

We have a right triangle with the following known values:

B = 90

A = 23 (46/2=23 since AD is the angle bisector)

D = ?

180 = 90 + 23 + D and we solve

67 = D

Answer:

x= п/2+пn; nE Z    

x= п/6+пn; nEZ

Step-by-step explanation:

(cosx)^2- √3sinxcosx=0

Factorise it

cosx(cosx-√3sinx)=0

cosx=0                     or                      cosx=√3sinx

x= п/2+пn; nE Z                                 cosx/cosx= √3sinx/cosx

                                                          1/√3= tgx

                                                           x= arctg 1/√3+пn; nE Z

                                                            x= п/6+пn; nEZ

The answer is x= п/2+пn; nE Z    

x= п/6+пn; nEZ