Please help me with this question

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Answer:

-1  

Step-by-step explanation:

In the picture attached, the question is shown.

To compute the rate of change of the linear relationship we need two points, (x1, y1) and (x2, y2), and the next formula:

rate of change = (y2 - y1)/(x2 - x1)

Selecting points (0,3) and (1,2), notice that other selections are also possible, and replacing them into the equation we get:

rate of change = (2 - 3)/(1 - 0) = -1

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

Answer:

D. Systematic Random Sampling

Pls mark as Brainliest

Answer:225

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.

If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.

If  [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.

If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.

The given equations are

[tex]2x-y=7[/tex]

[tex]y=2x+3[/tex]

These equations can be rewritten as

[tex]2x-y-7=0[/tex]

[tex]2x-y+3=0[/tex]

Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].

[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.

Hence, option C is correct.

Answer:

ANSWER: C

Step-by-step explanation:

Subtract the percent of getting odd from 100 percent.

100 - 62 = 38%

The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.

The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).

In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:

t = -b / 2a

t = -240 / (2 * -16)

t = -240 / -32

t = 7.5

Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.

Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.

Answer:

i belive it is 13.25

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The sum of 1.25 and (−1 3/4) can be done as,

1.25 + (−1 3/4)

= 1.25 - 1.75

= -0.5

The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,

-0.5 + (-2 1/2)

= -0.5 - 2.5

= -3

Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

Learn more about Fraction:

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Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

Answer:  you need to have a line graph

stay safe

Answer:

Step-by-step explanation:

its a

Answer:

option c is the correct ans as there is given similar sign with two triangle.

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Answer:

PSC=PTC

They are the same angle

Answer:

Area ≈ 20 square units

Step-by-step explanation:

Using Distance Formula to Find the lengths

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Length XY:

=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]

=> [tex]\sqrt{25}[/tex]

=> 5 units

Length YZ:

=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8 units

Length ZX:

=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]

=> [tex]\sqrt{89}[/tex]

=> 9.4

Perimeter:

=> 5+8+9.4

=> 22.4

Semi-Perimeter:

=> 11.2

Using Heron's Formula to find the area:

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is semi perimeter and a,b and c are side lengths

=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]

=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]

=> Area = [tex]\sqrt{399.9}[/tex]

=> Area = 19.99

=> Area ≈ 20 square units

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

By definition of logarithms:

[tex]b^y=M[/tex]

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].

The answer would be [tex]b^y=M[/tex].

For some examples, consider:

[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:

[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

g(x)= x^2+10x + 24.

Step-by-step explanation:

g(x) = (x + 5)^2 −1

= x^2 + 5x + 5x + 25 - 1

= x^2 + 10x + 24

g(x)= x^2+10x + 24 is your answer.

Hope this helps!

Answer:

the answer is g(x)=x^2+10x+24.

Step-by-step explanation:

here,

=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)

=x^2+10x+25_1

=x^2+10x+24... is answer

hope its helpful to uh..

Answer:

a measure, quanity or frequency typically one measured against another quantity or measure.

Step-by-step explanation:

i have written in my own words so i would love to be the brainliest i never got one before and i have only 20  points so thank you so much for making me the brainliest if you did so i love u.

Answer:

I do indeed understand rates in math.

Step-by-step explanation:

If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

Step-by-step explanation:

6j + 7 = 21 - j

Add 'j' to both sides

6j + 7 + j = 21 - j +j

7j + 7 = 21

Subtract 7 form both sides

7j + 7 - 7 = 21 - 7

7j  = 14

Divide both sides by 7

7j/7 = 14/7

j = 2

Answer:

j = 2

Step-by-step explanation:

6j + 7 = 21 - j

6j + j = 21 - 7

7j = 14

j = 14/7

j = 2

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Disability insurance is generally provided by the employers to the employee

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

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Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

Answer:

1.5 !

Step-by-step explanation:

oh khan academy :))