Solve the inequality! PLEASE HELP I’LL MARK BRAINLIEST!!

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:

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:

n = 13

Step-by-step explanation:

Step 1: Distribute

24 = 3n - 15

Step 2: Add 15 to both sides

39 = 3n

Step 3: Divide both sides by 3

n = 13

Answer:

Step-by-step explanation:

3*N 3*-5

24+15=3N

Answer: To solve this you’re going to need to input the x value.

Step-by-step explanation:

The x values are given

Answer:

(0, -1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. Simply substitute x for 0 and solve for y:

y = -10(0)² - 11(0) - 1

y = 0 - 0 - 1

y = -1

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:

3 units by 4 units

Answer:

C

Step-by-step explanation:

The formula that can be used to find the number of monkeys in the nth generation is [tex]\bold{a_n=4\times 2^{n-1}}[/tex]

"It is a rule that is expressed in terms of mathematical symbols."

For given question,

In the first generation there are 4 monkeys on an island.

In generation 2 there are 8 monkeys, in generation 3 there are 16 monkeys, and so on.

A.

For n = 2,

[tex]a_2=4\times (\frac{1}{2} )^{2-1}\\\\a_2=4\times \frac{1}{2}\\\\ a_2=2\\\\a_2\neq 8[/tex]

This is not required formula.

B.

For n = 2,

[tex]a_2=2\times (\frac{1}{4} )^{2-1}\\\\a_2=2\times \frac{1}{4}\\\\a_2=\frac{1}{2}\\\\a_2\neq 8[/tex]

This is not required formula.

D.

For n = 2,

[tex]a_2=2\times (4)^{2-1}\\\\a_2=2\times 4\\\\a_2=8[/tex]

For n = 3,

[tex]a_3=2\times (4 )^{3-1}\\\\a_3=2\times 16\\\\a_3=32[/tex]

This is not required formula.

C.

For n = 2,

[tex]a_2=4\times (2 )^{2-1}\\\\a_2=4\times 2\\\\a_2=8[/tex]

For n = 3,

[tex]a_3=4\times (2 )^{3-1}\\\\a_3=4\times 4\\\\a_3=16[/tex]

This is required formula.

Therefore, the formula that can be used to find the number of monkeys in the nth generation is [tex]\bold{a_n=4\times 2^{n-1}}[/tex]

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Answer:

EFB is the angle that is adgacent

Answer:

angle AFB

Step-by-step explanation:

Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.

What side does EFA share with?

It shares it with AFB.

That‘s it!

Hope this helped!

Answer:

x = -2      OR     x = -3

Step-by-step explanation:

=> [tex]x^2+5x+6 = 0[/tex]

Using mid-term break formula

=> [tex]x^2+2x+3x+6 = 0[/tex]

=> x(x+2)+3(x+2) = 0

Taking x+2 common

=> (x+2)(x+3) = 0

So Either,

x+2 = 0   OR    x+3 = 0

x = -2      OR     x = -3

If Frank wrote 20 checks last month than total amount will be $8.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

Amount of service fee charged by United Bank = $7.50.

Also, the bank charges $0.10 for each check written.

And starting 15 checks are free.

Total number of checks that Frank wrote last month = 20

Since, 15 checks are free,

So, charges for remaining 5 checks = 5 x 0.10 = 0.50.

Total amount = 7.50 + 0.50 = 8.0

Total required amount is $8.

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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:

the horizontal position for the left edge of the image is -4.46 cm.

Step-by-step explanation:

The horizontal midpoint of the page is:

21.59 / 2 = 10.79 cm

The horizontal midpoint of the image is given as:

30.51 / 2 = 15.25 cm

These midpoints must be on the same point in the axis.

By taking the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795 cm.  

The distance that goes beyond this leftmost edge is computed as;

This is on the negative side on the axis.

Thus the horizontal position for the left edge of the image is -4.46 cm.

Answer:

-4.46

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

arrowhead : 15

bone : 721

clay bowl : 0

necklace : 462

woven basket : -1200

Step-by-step explanation:

Consider sea level to be zero elevation, then anything above sea level is related to a positive number equal he elevation at which it was found, and anything below sea level would be associated with a negative number (the opposite of the depth at which it was found,as shown below:

arrowhead : 15

bone : 721

clay bowl : 0

necklace : 462

woven basket : -1200

Answer:

Step-by-step explanation:

arrow head is 15 feet because it is above sea level making it positive

bone 721 feet is also positive because anything positive is above sea level

clay is zero because it is at sea level so it is not positive or negative

necklace 462 is above sea level

woven basket is -1,200 because it is below sea level

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:

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:

The region worth 6 points was hit by Alice

Step-by-step explanation:

The information given are that the throws throws of the five friends (two each) each have different values

The scores are;

Alice = 16

Ben = 4

Cindy = 7

Dave = 11

Ellen = 17

For Ben, we have the two throws as 1, and 3

For Ellen, 9 and 8

Cindy, 5 and 2

Dave 7 and 4

Alice 10 and 6

Therefore, Alice hit the region worth 6 points.

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:

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.  

Step-by-step explanation:

Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.

-36 -117

-27 -98

-18 -79

We note that for every increase of 9 in x, there is an increase of 19 in y.

so continuing:

-9 -60

0  -41  (y-intercept)

Answer: y-intercept is (0,-41)

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.

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Answer:

[tex]10\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{500}\\\\ \sqrt{2^2*5^2*5}\\\\\sqrt{2^2}\sqrt{5^2}\sqrt{5}\\\\2\sqrt{5^2}\sqrt{5} \\\\2*5\sqrt{5}\\\\10\sqrt{5}[/tex]

Answer:

10√5

Step-by-step explanation:

√500= √100*5= 10√5

Answer:

No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.

Step-by-step explanation:

Solids of rotation will always have a curved face, so they’re always non-polyhedral.

Answer:

The correct option is B

B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2

Step-by-step explanation:

A rectangle has the following features:

Considering these point, the best options is B because:

AB || CD = opposite sides have same slope 2 (they are parallel)

BC || DA = opposite sides have same slope -1/2 (they are parallel)

For 2 lines to be perpendicular:

Slope of line 1 = -1/ (Slope of line 2)

Let line 1 be AB and line 2 be BC

Slope of AB = -1/(Slope of BC)

2 = -1/(-1/2 )

2=2

Hence proved

As two points are true, third point will also be true

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:  you need to have a line graph

stay safe

Answer:

Step-by-step explanation:

its a

Answer:

335790

Step-by-step explanation:

42=2×3×7

unit digit should be even.

sum of digits should be divisible by 3

3+5+7+9=24÷3=8

sum of other two digits should be multiple of 3

let us consider 335790

3+0=3=3×1

also 0 is even.

335790÷42=7995

Answer:

Length of the train=1/12 km

Step-by-step explanation:

The train took 3 seconds to disappear into the tunnel travelling at 100 km/h

It means, the train travelled its length in 3 seconds.

Length of the train can be calculated thus

Length of the train=speed ×time

=100km/hr * 3/3600

=300 / 3600

=30 / 360

= 1 / 12 km

Answer:

The value of y = 4

Step-by-step explanation:

Explanation:-

Given the operation *is defined by

         x*y=2 x-y,where x and y are real numbers

Given  y * ( 3 * y ) = 6

     ⇒    y * ( 2 (3) -y) = 6    (∵    x*y=2 x-y)

     ⇒     y * ( 6 - y) = 6

    ⇒     2 (y) - (6 - y ) = 6

    ⇒       2 y - 6 + y = 6

   ⇒         3 y = 6 + 6

  ⇒             3 y = 12

  ⇒               y = 4

Verification:-

Put y =4 in given operation

 L.H.S    

 y * ( 3 * y ) =  4 * ( 3 * 4)

                  = 4 * (2(3)-4)      (∵ x*y=2 x-y )

                 = 4 * ( 6-4)

                = 4 * 2            

               = 2(4) -2      (∵ x*y=2 x-y )

               = 6

              =R.H.S

  y *(3*y) = 6​

          ∴ y = 4 is satisfied