F(x,y) = x^2 + y^2 - 2x, D is the closed triangular region with vertices (0,0), (0,2), and (0,-2). Find the absolute maximum and minimum values of f on the set D. I know the maximum and minimum are f(0,+-2) = 4, minimum f(1,0) = -1. I need a step by step process on how to get to this answer

x - intercept is at ( 1, 0 ) graph intersect at x = 1 .

What are intercepts?

Domain - values of x on  x -axis taken by function

                - ( 0,5 )

Range = values of y on  y -axis taken by function

          = (-  ∞ , 2 )

           = ( as, x ⇒ 0 then graph goes below

b) x - intercept is at ( 1, 0 ) graph intersect at x = 1

          no y - intercept is there .

c) graph is not symmetric .

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Answer:

$6.50

Step-by-step explanation:

3.50(2)+2x+2.50(3)=26.50

6.00+2x+7.50=26.50

13.50+2x=26.50

2x=13.00

x=6.50

Maggie's age is less than or equal to 11, m ≤ 11

An inequality can simply be described as a relation that makes an unequal comparison between two objects, numbers, elements or mathematical expressions.

It is used to compare numbers on the number line on the basis of their sizes

From the information given, we have that;

Let's substitute the values

5m + 4 + m ≤ 70

Now, let's collect like terms

6m ≤ 70 - 4

Subtract like terms

6m ≤ 66

Make 'x' the subject of formula by dividing both sides by its coefficient

m ≤ 66/ 6

m ≤ 11

Hence, the value is m ≤ 11

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Answer:  love

Step-by-step explanation:  love

Answer:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Step-by-step explanation:

Answer:

That doesn't even make any sense you can't simplify or solve for anything if there isn't the right equation???????

Step-by-step explanation:

Answer: Austin burn 809.8 more calories today than yesterday.

There are 6984 inverse proportional relationships and the direct proportional relationships are 97/72.

Given that:

Kelly has 97 apples, and Jason has 72.

The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.

Y/X = k

Substitute the given X and Y values ​​and solve for k.

Suppose, Y = 97, X = 72

then k = 97/72

Distinguish a proportional relationship from other relations, including an inverse relationship (XY = k or Y = k/X).

An inverse proportional relationship is one in which two quantities vary inversely with respect to each other. We say that the variable Y changes inversely with X if

Y = k/X

Substitute the given X and Y values ​​and solve for k.

Suppose, Y = 97, X = 72

then k = 97 x 72

=> k = 6984

Hence, there are 6984 inverse proportional relationships and direct proportional relationships are 97/72 between Kelly which has 97 apples, and Jason which has 72.

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Step-by-step explanation:

she can therefore only spend $10 of the $20.

$8.64 are adjust gone for the card game.

that leaves us with

10 - 8.64 = $1.36

to spend on lollipops.

1 lollipop costs $0.28

so, she can buy a many lollipops as times 0.28 fits into 1.36 :

1.36 / 0.28 = 4.857142857...

that means she can buy 4 lollipops max.

she would keep some change, but not enough to buy a 5th lollipops, because then she would have to cut into the $10 reserve she needs for lunch.

for 5 lollipops she would need $1.40 (5×0.28).

Answer:777

Step-by-step explanation: I do not care

There are 333 pages are in my book.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are more than 200 pages but fewer than 800 in my book.

And, All the digits of my number are the same and the number is divisible by 9.

Now,

Let a number with three same digit = xxx

So, We get;

200 < xxx < 800

Since, the number is divisible by 9.

So, By the rule of the number divide by 9, we get;

x + x + x = 9k

3x = 9k

for k = 1;

x = 3

Thus, Number of pages = 333

Therefore,  

There are 333 pages are in my book.

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- 13/12 is the value of trigonometric functions sec θ  .

What do trigonometric functions mean?

r = √( -12 - 0 )² + ( 0 - 5 )²

r = √144 + 25

r = √169

r = 13

Now we can calculate the trigonometric functions

 sinθ = y/r = 5/13

 cosθ = x/r = -12/13

 tan θ = y/x = - 5/12

  cot θ = x/y = -12/5

   sec θ = r/x = - 13/12

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Answer:

x=81

steps

From the concept of similarity

42 is value of ∠JNM because ∠JNM & ∠KNL are vertically opposite angles.

What is vertically opposite angles?

∠JNM = ∠KNL

4x + 6 = 7x - 21

7x - 4x = 21 + 6

   3x = 27

   x = 27/3

   x = 9

∠JNM = 4 * 9 + 6 = 36 + 6

∠JNM =  42

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Answer:

Probably b or c. Not great with probabilities.

hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

In 139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec rapidly is area of enclosed by the ripple increasing at the end of 6.4 seconds.

What is area of circle?

 For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. We can determine the boundary length, or the circle's circumference, using the area formula.

Here area of circle

=> A= π[tex]r^2[/tex]--------> 1

Differentiating 1 with respect to to time then

=> [tex]\frac{dA}{dt}= 2\pi r\frac{dr}{dt}[/tex]

If the radius is  increasing at a constant rate 3.3ft/sec then after 6.4 seconds, radius is

=> 6.4*3.3=21.12 ft.

We know [tex]\frac{dr}{dt}= \frac{3.3ft}{sec}[/tex] and so ,

=> [tex]\frac{dA}{dt}[/tex] = 2*[tex]\pi[/tex]*21.12*3.3=139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec.

Hence In 139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec rapidly is area of enclosed by the ripple increasing at the end of 6.4 seconds.

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If a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

The hypotenuse of the right triangle = 10 centimeter

The measure of angle = 40  degree

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

Substitute the values in the equation

sin 40 = Opposite side / 10

Opposite side = 10 × sin 40

= 6.43 centimeter

Similarly

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos 40 = Adjacent side / 10

Adjacent side = 10 × cos40

= 7.66 centimeter

Hence, if a right triangle has a hypotenuse of length 10 centimeters. If one angle is 40 degrees, the length of the each legs are 6.43 centimeter and 7.66 centimeter

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Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Given,

In the question:

Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?

Now, According to the question:

The correct answer is:

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Other question is

4 + 2

By addition:

4 + 2 = 6

Hence, Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

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Answer:

Step-by-step explanation:

An ordered pair which makes both inequalities true is: C. (1, 2).

In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-1, 3), we have:

y < 5x + 2

3 < 5(-1) + 2

3 < -5 + 2

3 < -3 (False).

For ordered pair (0, 2), we have:

y < 5x + 2

2 < 5(0) + 2

2 < 0 + 2

2 < 2 (False).

For ordered pair (1, 2), we have:

y < 5x + 2

2 < 5(1) + 2

2 < 5 + 2

2 < 7 (True).

y > x/2 + 1

2 > 1/2 + 1

2 > 3/2 (True)

For ordered pair (2, -1), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

-1 > 2/2 + 1

-1 > 2 (False)

For ordered pair (2, 2), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

2 > 2/2 + 1

2 > 2 (False)

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Answer:

B , C

Step-by-step explanation:

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.  

(–1, 3)

(0, 2)  

(1, 2)

(2, –1)

(2, 2)                                                                                          Edge  2022

Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

Answer: The total price is $478.06

Step-by-step explanation:

For this we use regular price of the suit as x

x is 100% of the price therefore 62% of x=296.4

Now we cross multiply

62 × x = 100 × 296.40

62x = 29,640

Now that we got rid of those complicated percentages we simply divide both sides by 62 to isolate x

29,640/62 = 478.064516129

Since we are working with dollars and cents that do not get smaller than .01 we can shave off all the extra decimals near the end

478.06

The regular price is $478.06

Now we just check our work to prevent any awkward and simple mistakes

478.06 x .62 = 296.3972 or 478.06 x .62 = 296.39

Keep in mind the one cent difference is because we shaved off the extra decimals at the end

Hope this helps!

Answer:

Step-by-step explanation:

18x+15. Step-by-step explanation: 5(4x+3)-2x. Distribute the 5. 20x +15 - 2x. Combine like terms. 20x-2x +15.

Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.

What are the steps to create a bisector?

By following these steps to create a bisector in the provided curve:-

1) Join the extreme points and make a line.

2) By using compass, take width as length of a line joined in step 1.

3) Draw a curve taking extreme points.

4) Draw a line from the intersection of the curve to the line.

The above following steps should be performed  error free and you will get bisector.

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y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Relationship between two expressions or values that are not equal to each other is called 'inequality.

y≤-3x+4 is the given inequality.

The sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

In the inequality we have lesser than or equal to symbol so we shade the below line.

Hence, y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

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Answer:

The decemial is 7

Step-by-step explanation:

0.7. Because 04 plus 0.3 equal to 0.7

Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?

Answer: $195.70

Step-by-step explanation: