PLS HELP IMA MARK BRAINLIEST

Answer:

Step-by-step explanation:

Given the function f(x) = x⁴-18x²+9 at the interval [-5, 5], the  absolute maximum and minimum values at this end points are as calculated;

at end point x = -5

f(-5) = (-5)⁴-18(-5)²+9

f(-5) = 625-450+9

f(-5) = 184

at end point x = 5

f(5) = (5)⁴-18(5)²+9

f(5) = 625-450+9

f(5) = 184

To get the critical point, this points occurs at the turning point i.e at

dy/dx = 0

if y = x⁴-18x²+9

dy/dx = 4x³-36x = 0

4x³-36x = 0

4x (x²-9) = 0

4x = 0

x = 0

x²-9 = 0

x² = 9

x = ±3

Using the critical points [0, ±3]

when x = 0, f(0) =  0⁴-18(0)+9

f(0) = 9

Similarly when x = 3, f(±3)=  (±3)⁴-18(±3)²+9

f(±3) = 81-162+9

f(±3) = -72

It can be seen that the absolute minimum occurs at x= ±5 and and absolute minimum occurs at x =±3

absolute maximum = 184

absolute minimum = -72

Answer:

y = 15

Step-by-step explanation:

y varies inversely as x.

y = k/x

5 = k/6

Find constant of proportionality.

5 × 6 = k

30 = k

Plug k as 30 and x as 2.

y = 30/2

y = 15

Answer:

yes

Step-by-step explanation:

y = 19+ 3x

Let x = 3 and y = 28

28 = 19 + 3*3

28 =19+9

28 = 28

This is true so the point is one the line

Answer:

5/12

Step-by-step explanation:

The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.

The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.

[tex]5/6 \times 3/6[/tex]

[tex]=15/36[/tex]

[tex]=5/12[/tex]

Answer:

I saw one person that way

Step-by-step explanation:

she had red hair and green eyes with pale skin

Answer:

We cannot use method B

Step-by-step explanation:

We cannot use method B .  We do not know that there be the same number of even and odd numbers assigned with a random number generator

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

| 6-3|

Find the value inside the absolute value signs

6-3 = 3

| 3|

Means take the non negative value

|3| = 3

Answer:

3

Step-by-step explanation:

Well absolute value means turn the negative into a positive so,

|6-3|

|3|

= 3

Thus,

the answer is 3.

Hope this helps :)

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

9

The new price is the original price minus the discount

45-9 = 36

Answer:

If the radius is really 5.2, then the standard equation of this circle is:

[tex](x-4)^2+(y+2)^2=27.04[/tex]

Now, if there was a typo in your question, and the radius is  "5", then, the equation becomes:

[tex](x-4)^2+(y+2)^2=25[/tex]

Step-by-step explanation:

Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]

Answer:

891

Step-by-step explanation:

x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.

Answer:

891

Step-by-step explanation:

[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]

Hope this helped! :)

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

Answer:

Step-by-step explanation:

Multiplying both sides by $6$ to get rid of the fractions gives\[6\left(-\frac23\right)(k-6) = 6\left(\frac32\right)(k+6),\]so\[-4(k-6) = 9(k+6).\]Expanding both sides gives $-4k+24 = 9k + 54.$ Adding $4k$ to both sides gives $24 = 13k+54.$ Subtracting $54$ from both sides gives $-30=13k.$ Dividing both sides by $13$ gives $k =-30/13}.$

Answer:

Step-by-step explanation:

6 - 3 = 3

The numbers can be simplified to become the number 3.

4p stays the same.

Place the variable and numbers together.

This will result in the equation of 4p + 3.

Answer:

Step-by-step explanation:

In the study, the following hearing aid types were considered:

1. The analog hearing aids

2. The digital hearing aids

3. Cochlear implants

The first two types do not require surgery while the last requires surgery.

The treatment considered are

1. Treatment of the first group of hearing impaired clients with analog hearing aids, which convert sound waves into amplified electrical signals.

2. Treatment of the second group of hearing impaired clients with digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them.

3. Treatment of the third group of hearing impaired clients with cochlear implants

Answer: 96

Step-by-step explanation:

Simply multiply the first question by 12 to get 2x+8y=96

Hope it helps <3

Answer:

  (x, y) = (25, 18)

Step-by-step explanation:

Use the angle sum theorem. You can write equations for the right angle and for the linear angle.

  (x +11) +(3y) = 90 . . . . sum of angles making the right angle

  (y +7) +90 +65 = 180 . . . . sum of angles making the linear angle

From the second equation, we have ...

  y = 18 . . . . subtract 162

Substituting into the first equation gives ...

  x + 11 + 3(18) = 90

  x = 25 . . . . subtract 65

The values of x and y are 25 and 18, respectively.

_____

Check

VQ = 18+7 = 25

QR = 25 +11 = 36

RS = 3·18 = 54

ST = 65

The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.

Answer:

[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Step-by-step explanation:

Let the first number is x1 and other number is y1 then

[tex]x1 * y1 =216[/tex]

Therefore

[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]

also there sum is

[tex]s1 =x1+y1[/tex]....Eq(1)

Putting the value of y1  in the previous equation

[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)

Differentiate the the Eq(2) with respect to x1 we get

[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]

[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]

[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]

Putting the value of X1 in Eq(1) we get

[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]

So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Answer:

there is no inequality..

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The study group includes Girls and Boys

So; we can have a table

Groups        Treatment ( Recruiting services)            Points

Girls              likely to be in School  and increase        3-5 %

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                         -

Boys            likely to be in School  and increase        No changes

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                      No changes

Why do you think the author points out the lack of change in the boys?

From the information above; we need to understand that the point the  author is trying to express is that the  Recruiting services Treatment are largely beneficial for the females rather than the males.

Answer:

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these possible outcomes:

Format(Dice A, Dice B)

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes.

Desired outcomes:

Sum of 6 or less. They are:

(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)

15 desired outcomes

15/36 = 0.4167

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Answer:

The  derivative is  [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Step-by-step explanation:

From the question we are  told that

      [tex]r(t) = (t^2 ,1 - t , 4t)[/tex]

       [tex]a(2) = (2, 5, -3)[/tex] and  [tex]a'(2) = (4,-3 , 9)[/tex]

At  t  = 2  

       [tex]r(t) = (2^2 ,1 - 2 , 4(2))[/tex]

       [tex]r(t) = (4 ,-1 , 8 )[/tex]

Now  the derivative  of r(t) is  

      [tex]r'(t) = (2t, -1 ,4)[/tex]

At  t  = 2  

     [tex]r'(t) = (2(2), -1 ,4)[/tex]

     [tex]r'(t) = (4, -1 ,4)[/tex]

Now the derivative   of  [tex]r(t) \cdot a(t)[/tex]   At  t = 2 is

        [tex]= r'(2) a(2) + a'(2)r(2)[/tex]

         [tex]= (4,-1,4)(2,5,-3) + (4,-3,9)(4,-1,8)[/tex]

        [tex]= (8 - 5 -12) + (16+3+72)[/tex]

       [tex]= -9 + 91[/tex]

      [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Answer:

1/9

Step-by-step explanation:

The die has sides 1,2,3,4,5,6

P( less than 5) = 1,2,3,4 / total

                        =4/6 = 2/3

Then rolling again

P(greater than 5) = 6/total = 1/6

P( less than 5,greater than 5) = 2/3* 1/6= 1/9

Answer: m=4

Step-by-step explanation:

To find the slope, we use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).

[tex]m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4[/tex]

Answer:50.18

Step-by-step explanation:

8x+17+9x+11=102

17x+28=102

-28. -28

17x=74

<CAD=9x+11=50.18

x=74/17

Answer:

the answer is 2

Step-by-step explanation:

She is not correct because her  school and her cousin's school may not be the same size.

Answer:

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay =  238.05

Step-by-step explanation:

Gross pay, G = 15 $/h * 20 h = 300 / week

Fed taxes, F = 10%*G = $30

FICA, K = 7.65%*G = $22.95

State taxes, S = 3%*G = $9

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay = 300 - (30+22.95+9) = 300 - 55.95 = 238.05

Answer:

A set of prime number between 5 and 15.

Listing method:{ 7,11,13}

Set builder method:{X:X is a set of prime number between 5 and 15}

In listing method,the elements are listed inside the brackets.Listing method are also called rooster method.

In set builder method,the elements are represented by a variable stating their common properties.Set builder method are also called rule method.

Hope this helps...

Good luck on your assignment..

Answer:

2% of 30,000 is 2/100×30,000

two zeroes of 100 can be cancelled out with 2 zeroes of 30,000, which gives, 2×300= 600

so, 2% of 30,000 is 600

Answer:

600

Step-by-step explanation:

30,000x.02

(.02 is 2% as a decimal)

multiply them to get 600