what is the equation for the given table​

Answer:

a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²

Step-by-step explanation:

a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have

P = 2(L + W)

100 = 2(L + x)

dividing both sides by 2, we have

100/2 = L + x

50 = L + x

making L subject of the formula, we have

L = 50 - x

Now, the are of a rectangle A = LW. Substituting the values of L and W, we have

A = LW

A = (50 - x)x

A = 50x - x²

b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.

So, dA/dx = d(50x - x²)/dx

dA/dx = d50x/dx - dx²/dx

dA/dx = 50 - 2x

dA/dx = 0 ⇒ 50 - 2x = 0

50 = 2x

dividing both sides by 2, we have

x = 50/2

x = 25

To find it this gives maximum value for A, we differentiate A twice.

d²A/dx² = d(50 - 2x)/dx

d²A/dx² = d50/dx - d2x/dx

d²A/dx² = -2

Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.

Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in

So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²

The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.

4(6 + x) = 48

Next, you would simplify the equation.

24 + 4x = 48

Now, you would combine like terms.

4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.

x = 6

I hope this helps!

Answers x=6

Step-by-step explanation:

Answer:

4.89

Step-by-step explanation:

You don't suck at math, just nobody has explained it good enough or gave you a calculator (working on your computation skills help if that's the problem). For an average, add up all the numbers and divide them by the amount of items you added up.

Answer:

0.71(6)

Step-by-step explanation:

the ending of "6" is forever.

Answer:

200

Step-by-step explanation:

(80×20)/8

y is equal to 200

Answer:

Step-by-step explanation:

Q

Answer:

B

Step-by-step explanation:

Since there are 2 congruent angles then the triangle is right isosceles.

The 2 legs of the triangle are therefore congruent ( both x )

Use Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = (3[tex]\sqrt{2}[/tex] )² , then

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3 → B

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

Answer:

24m-28

Step-by-step explanation:

We have to multiply each term inside the parenthesis by 4, so we get the result

Answer:

(3,6)

Step-by-step explanation:

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

370.83%

Step-by-step explanation:

Divide them, and then multiply by a hundred.

Answer:

Yessss

Step-by-step explanation:

Answer:

I would say charlie because why did it suddenly curve and then continue again?

Step-by-step explanation:

Hopefully this helps? Have a nice day/night! :)

Answer:

Charlie is the loser I believe sorry if I'm wrong

Step-by-step explanation:

Hope it helps!

Have a good day/night :)

Brainliest pls?

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

Answer:

-7

Step-by-step explanation:

7x+28=-21

7x=-49

x=-7

Answer:

The answers are B,D,E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

Answer:

Step-by-step explanation:

p=12x+5

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =[tex]\dfrac12[/tex]

Let slope of LG be n, then

[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]

[tex]\Rightarrow n=-2[/tex]

Equation of a line passes through (a,b) and have slope m is given by :-

[tex](y-b)=m(x-a)[/tex]

Equation of LG :

[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]

Answer:

none of the above,

Step-by-step explanation:

The answer would be seven because the angle they're looking for is complementary, meaning that the angles would have to equal 90 degrees.

1. add up angles given

2. subtract what you get from that by 90

Answer:

Step-by-step explanation:

Given parameters:

 Principal  = $400

 Time  = 3years

 Interest rate  = 3.3%

  Interest  = $39.60

Now let us verify;

I = interest

r = rate

p  = principal

t  = time

i = 3             incorrect, interest is $39.60

r=3.3%          Correct, rate is 3.3%

p = 400         Correct, principal is 400

t = 39.60     Incorrect, time is 3years

Answer:

Step-by-step explanation:

1.  (–0.5)(–1.2)(–5.22)= -3.132

Answer:

B

Step-by-step explanation:

Answer:

All equal 11

AC=11

BD=11

EC=11

Step-by-step explanation:

The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.

Answer:

x - 2 and x - 1 can be possible length and width of the rectangle.

Step-by-step explanation:

Area = x² - 3x + 2

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

To find possible length and width we can factorize the above expression.

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x² - 3x + 2 ( 2 = -1 × -2 )

x² - x - 2x + 2 ( 3 = -1 + -2 )

x(x - 1) + -2(x - 1)

(x - 2) (x - 1)

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x - 2 and x - 1 can be possible length and width of the rectangle.

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hi

You have two points     A ( X;Y)  and B ( X ; Y)

 slope is   :    ( Yb -Ya)   / (Xb -Xa )

(3 - (-13) ) / ( 7 - 9)  =    (3 +13)  /  -2 =   16/-2  =  - 16/2 = -8  

slope is  -8

Answer:

-8

Step-by-step explanation:

The slope formula is as follows:

m = y2 - y1 / x2 - x2

You would first plug in the points into the formula, and this is what you would get:

m = 3 - (-13) / 7 - 9

From there, because of additive inverse, the negative signs would become + signs.

m = 3 + 13 / 7 - 9

You would now add/subtract.

m = 16 / -2

And lastly, you would simplify.

m = 8/-1

8/-1 is the same thing as a slope of -8.