What is the difference between the maximum and minimum of the quantity x2y287, where x and y are two nonnegative numbers such that x+y=6?

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

Answer:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]

And we want to determine the intervals for which the function is increasing or decreasing.

We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.

To find the critical points, we need to find the first derivative and then solve for the x. So:

[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]

Differentiate:

[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]

Set the derivative equal to 0 and solve for x:

[tex]0=3x^2-11x-4[/tex]

Factor:

[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]

Zero Product Property:

[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]

Therefore, our critical points are -1/3 and 4.

We can thus sketch the following number line:

<————-(-1/3)——————————————(4)—————>

Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.

For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:

[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]

The result is positive.

Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).

For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:

[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]

The result is negative.

Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).

And finally, for greater than 4, we can use 5:

[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]

The result is positive.

Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.

Therefore:

[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]

In interval notation:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Answer:

N = 101

p = 0.24

p ( 0.2 ) < p < 0.3

Step-by-step explanation:

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

Answer:The expression is 6y - 4x

Step-by-step explanation:

Answer:

-4x+6y

Step-by-step explanation:

4x+6y-8x4

(4x-8x)+6y

−4x+6y

Answer:

$90

Step-by-step explanation:

70-25 = 45

45x2 = 90

Answer:

15.20

Step-by-step explanation:

Answer

x+3=17

Step-by-step explanation:

Answer: 18x2 -92x+ 80

Step-by-step explanation:

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

Answer:

30.48

Step-by-step explanation:

Look up foot to centimeter  :)

Answer:

30.48

Step-by-step explanation:

You take 2.54 and multiply it by the number of inches in a foot- 12.

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Answer:The scale factor= 1 : 41.14

Step-by-step explanation:

I did research on it

Answer:

2 and they are x and y

Step-by-step explanation:

Answer:

to create an equation that is parallel to a line, you keep the slope or rate of change the same, all you do is change the y intercept. so you have to keep

y = 2x, but then you can add any number to the end.

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

Answer:

x=2/3 or x=−1/2

Step-by-step explanation:

6x²−x=2

6x²−x−2=2−2

6x²−x−2=0

(3x−2)(2x+1)=0

3x−2=0 or 2x+1=0

x=2/3 or x=−1/2

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

Answer:

3 - 3 = 0 units There is no distance, the points are in the same place.

Step-by-step explanation:

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

Answer:

A) $32,000 B) $37,500 C) $5,500

Step-by-step explanation:

Price of jeep: $37,000

Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000

Monthly payments $625.00×60months=$37,500

After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)

Amount financed =  $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.

"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."

According to the question,

Given,

Price of jeep = $37000

Down payment = $5000

Total number of monthly payment = 60

Amount to be paid after down payment

= $37000 - $5000

= $32000                                                  ____( 1 )

Amount paid in Monthly payments = $625.00 × 60months

                                                          = $37500          ____( 2 )

From ( 1 ) and ( 2 ) we get,

Finance charge amount = Total monthly amount - Total amount financed

                                        = $37500 - $32000                                    

                                        = $5500

Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.

Learn more about dealership finance here

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Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

Step 2

Find x using another function, sin

Answer:

theres no image

Step-by-step explanation:

Answer:

x=59

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180 degrees.  That means that (x+12)+(x)+(x-9)=180 degrees in total.  If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3).  If we rewrite this in a more simplified form, we get 3x+3=180.  Subtract 3 on both sides to get 3x=177 because we want to isolate x.  3x=177 divide 3 on both sides and we get 59.  x=59

Answer:

x <(with a line underneath the carrot) -11

Step-by-step explanation:

Hope this helps! Could not find the symbol.

The inequality for x which is less than or equal to -11 is written as x ≤ -11 or  x + 11 ≤ 0.

Inequality shows relation between two expression which are not equal to each others.

Let the required number is x.

In the given question,

Number x is less than or equal to -11.

The inequality for x which is less than or equal to -11 can be written as,

x ≤ -11

The inequality can be further simplified as,

⇒x + 11 ≤ 0

The inequality for x is x + 11 ≤ 0.

To know more about Inequality on:

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Answer:

two sevenths

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D