A farmer has 540 m of fencing to enclose a
rectangular area and divide it into two sections as
shown.
a) Write an equation to express the total area
enclosed as a function of the width.
b) Determine the domain and range of this area
function.
c) Determine the dimensions that give the
maximum area.

Answer:

whats the given?? what you need I don't understand

Answer:

x = 5 Or x = \frac{5}{2}

2

5

Explanation:

Given \frac{x-1}{x-2}+\frac{x-3}{x-4}=\frac{10}{3}

x−2

x−1

+

x−4

x−3

=

3

10

\implies \frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}=\frac{10}{3}⟹

(x−2)(x−4)

(x−1)(x−4)+(x−3)(x−2)

=

3

10

\implies \frac{x^{2}-4x-x+4+x^{2}-2x-3x+6}{x^{2}-4x-2x+8}=\frac{10}{3}⟹

x

2

−4x−2x+8

x

2

−4x−x+4+x

2

−2x−3x+6

=

3

10

\implies \frac{2x^{2}-10x+10}{x^{2}-6x+8}=\frac{10}{3}⟹

x

2

−6x+8

2x

2

−10x+10

=

3

10

\implies 3(2x^{2}-10x+10)=10(x^{2}-6x+8)⟹3(2x

2

−10x+10)=10(x

2

−6x+8)

\implies 6x^{2}-30x+30=10x^{2}-60x+80⟹6x

2

−30x+30=10x

2

−60x+80

\implies 0= 10x^{2}-60x+80-6x^{2}+30x-30⟹0=10x

2

−60x+80−6x

2

+30x−30

\implies 4x^{2}-30x+50=0⟹4x

2

−30x+50=0

Divide each term by 2 ,we get

\implies 2x^{2}-15x+25=0⟹2x

2

−15x+25=0

Splitting the middle term,we get

\implies 2x^{2}-10x-5x+25=0⟹2x

2

−10x−5x+25=0

\implies 2x(x-5)-5(x-5)=0⟹2x(x−5)−5(x−5)=0

\implies (x-5)(2x-5)=0⟹(x−5)(2x−5)=0

\implies x-5 = 0 \: Or \: 2x-5 = 0⟹x−5=0Or2x−5=0

\implies x = 5 \: Or \: x=\frac{5}{2}⟹x=5Orx=

2

5

Therefore,

x = 5 Or x = \frac{5}{2}

2

5

••••

Answer:

C i think... sorry if im wrong

Step-by-step explanation:

Answer:

(-9), (-2), 1, 3

Step-by-step explanation:

Answer:

|1|, |-2|, |3|, |-9|

Step-by-step explanation:

Find the absolute values

Order from least to greatest

Answer: 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Step-by-step explanation:

Let x = Number of reserved seats

y= Number of general admission

According o the question:

x + y = 40000           (i)

15x + 8 y = 425000           (ii)

Multiply 8 to equation (i), we get

8x + 8 y = 320000          (iii)

Subtract (iii) from (ii), we get

15x - 8x + 8y - 8y = 425000-320000

⇒ 7x = 105000

⇒ x = 15000  [Divide both sides by 7]

Put this in (i) , we get

15000+y= 40000

⇒ y = 40000-15000

⇒ y= 25000

Hence, 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Answer:

hi can you help me with shmoop i need help

Answer:

Step-by-step explanation:

ight so u have to find the circumfrance but first u have to get the fromla for circumfrance after u have that you have to get the formula for diamtre and add them up and u will have your answer

The range is the possible output values ( the y values).

The graphed line has arrows pointing up which means the range continues infinitely but the line crosses at y = -6.

This makes the range from -6 to infinity

[-6, infinity)

Answer:

No

Step-by-step explanation:

-10 is not greater than 9. A number that is more positive is more greater.

Answer:

No

Step-by-step explanation:

-10 < 9 according to the number line

Answer:

40

Step-by-step explanation:

To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:

13 liters is used for 156 kilometers

156/13 = 12 so 1 liter gasoline is spent per 12 kilometers

So for 480 kilometers we would need 40 liter gasoline because

480/12 = 40

Answer:

-14

Step-by-step explanation:

Of course, 910 divided by 65 is 14, but since 65 was negative, the answer must be negative. If both numbers were negative, then it would be positive, but in this case, it would be negative as 65 was negative.

Answer:

1

+1

+1

soln

here

1+1+1

=10+1

=11

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

1+1=10

10+1=11

11 is answer.

Answer:

17.5 miles per every hour

Step-by-step explanation:

All you do is divide 420 by 24 to find the unit

Unit rate = total miles/ total time.

Unit rate = 420/24 = 17.5 miles per hour

Answer:

x= 72/19

Step-by-step explanation:

et's solve your equation step-by-step.

19

24

=

3

x

Step 1: Cross-multiply.

19

24

=

3

x

19*x=(3)*(24)

19x=72

Step 2: Divide both sides by 19.

Answer:

yea i think

Step-by-step explanation:

area of a triangle = (hb)/2

19x14 = 266

266/2 = 133

Answer:

x/2+3/2

Step-by-step explanation:

If it was one year it would be 2200 and you just keep adding 200 for each year.

Answer:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

Answer: D

Step-by-step explanation: Im from the future D is correct on edge yw :)

Answer:

48°

Step-by-step explanation:

Because the y° angle plus the 3x° angle should equal 90°.

subtract 48° from 90° and you will get 42°.

the 3x° angle looks like it would be acute so it'd have to be 45° or under.

there's also another way to solve this problem, but I don't remember how

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Hope this helps

Answer:

See below.

Step-by-step explanation:

4/2=2

2*11=22

y=22

-hope it helps

Answer:

22

Step-by-step explanation:

4/22 is equivalent to 2/11 because 2/11 is 5 and a half times 2. So the second one has to be 5 and a half times 4. So the answer is 4/22.

Answer:

The quadrant for angle 230 is quadrant 3

Step-by-step explanation:

quadrant 3

Answer:

6

Step-by-step explanation:

replace x with 6, so 6-2+5=9

Answer:

[tex]f(x)=9500(1.0625)^x[/tex]

Step-by-step explanation:

Formula for compound interest / exponential functions:

[tex]f(x)=a(b)^x[/tex]

a represents the initial value, b represents the multiplier, and x is the duration / inputs.

In this case, 9,500 is the amount invested, so that's the initial value. The factor here is 6.25% which turned into a decimal is 0.625, but we have to add 1 to that since we have to include the original 100% from when we invested the $9,500. Lastly, x is the number of years, so that remains the same as the formula.

#LearnWithBrainly

Answer:

8.666...

Step-by-step explanation:

It goes on forever and dosent end so its an integer

Answer:

98 feet

Step-by-step explanation:

x=22 (I know this isn't an option however, I've reviewed this problem multiple times, but only find x=22 to be correct. You can look at my explanation below to see what I see.

[tex]according\ to\ the\ title\\ the\ diagonals\ of\ an\ isosceles\\ trapezoid\ are\ represented\\ b_y(6x-29)\ and\ (4x+15)\\ so\ 6x-29=4x+15\\ so\ 2x=44\\ so\ x=22[/tex]

Answer: B) 98 feet

[tex]solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\approx98\ feet[/tex]

I hope this helps you

:)

Answer:

their wavelength

Explanation:

A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.

For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).  

This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.

Answer:

2895 grams

Step-by-step explanation:

Use the density formula, d = m/v, where m is the mass and v is the volume.

Plug in the density and volume into the formula, and solve for m:

d = m/v

19.3 = m/150

Multiply each side by 150:

2895 = m

So, the mass is 2895 grams