Answer:
### Area of the rectangle:

So, the **minimum cost is $400.**

The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.

And** the formula is,**

Given that,

**Area of the garden=1250 square feet.**

Let, the length be and the breadth be then,

The total cost of the fence is,

Now, differentiating the obtained equation we get,

Therefore the length is 25 ft

And breadth is 50ft

Now, calculating the minimum cost,

Learn more about the** area of the rectangle:**

Answer:

**Answer:**

Dimensions of rectangular garden:

x = 25 feet ( sides along the driveway)

y = 50 feet

**Step-by-step explanation:**

**Rectangular area is:**

**A(r) = x*y (1)**

**if we call x one the driveway side the cost of that side will be**

**6*x**

**The cost of the other side parallel to driveway side is 2*x and cost of the others two sides are 4*y**

**Total costs: C = 6*x + 2*x * 4*y (2)**

**From equation (1)**

**A(r) = 1250 = x*y ⇒⇒ y = 1250/ x**

**Plugging that value in equation (2) we get costs as a function of x**

**that is:**

**C(x) = 6*x + 2*x + 4* 1250/x**

**Taking derivatives on both sides of the equation**

**C´(x) = 6 + 2 - 5000/x²**

**C´(x) = 8 - 5000 /x²**

**C´(x) = 0 ⇒ 8 - 5000 /x² = 0**

**8*x² -5000 = 0**

**x² = 5000/8**

**x² = 625**

**x = 25 feet**

**and y = 1250/ 25**

**y = 50 ft**

**C(min) = 50*2*2 + 6*25 + 2*25**

**C(min) = 200 + 200**

**C(min) = 400 $**

Solve for 6(2+2) explain answer with reasoning

What is 19% of 103?

Need help please, does any one know how to do this

What the volume of the figure

Determine whether the equations are parallel or not for y= 3x-2 and y= 1/3x -11

What is 19% of 103?

Need help please, does any one know how to do this

What the volume of the figure

Determine whether the equations are parallel or not for y= 3x-2 and y= 1/3x -11

y^3 - 5y^2 - 17y + 21

HINT: one of the factors is (y-1)

**Answer:**

Answer:

7,300 meters

Step-by-step explanation:

7.3×1000 = 7300

**Step-by-step explanation:**

b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..

c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.

d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Please select the best answer from the choices provided.

**Answer:**

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance

So basically the answer is A.

**Answer:**

__x = −69__

**Step-by-step explanation:**

**1: Simplify**

−2x−(10)(12)=18

−2x+−120=18

−2x−120=18

**2: Add 120 to both sides**.

−2x−120+120=18+120

−2x = 138

**3: Divide both sides by -2.**

-2x ÷ -2 = 138 ÷ -2

x = −69

**Answer:**

x=-69

**Step-by-step explanation:**

I believe it is m < 5 I could be wrong sorry.

**Answer:**

**OPTION B: 57x - 3**

**Step-by-step explanation:**

Total tires produced is the sum of number of over-sized tires and the number of compact tires.

So, we have when **x = 1**, tires, **y =** 23 + 31 = **54**

When **x = 2**, total tires **y =** 48 + 63 =** 111**

When **x = 3**, total tires **y =** 73 + 95 = **168**

When **x = 4**, total tires **y =** 98 + 127 = **225**

We can substitute the options to check which one will be the correct representation.

**Option A: 55x - 1**

When x = 1, y = 55(1) - 1 = 54

When x = 2, y = 55(2) - 1 = 109 111

So, this option is eliminated.

**Option B: 57x - 1**

When x = 1, y = 57(1) - 3 = 54

When x = 2, y = 57(2) - 3 = 111

When x = 3, y = 57(3) - 3 = 168

When x = 4, y = 57(4) - 3 = 225

These values exactly match with the values from the table. So, Option B is the right answer.

**Option C: ****110x - 2**

When x = 1, y = 110(1) - 2 = 108 54

Hence, this option is incorrect.

**Option D: 114x - 6**

When x = 1, y = 114(1) - 6 54

Hence, this option is also eliminated.

**Option B** is the required answer.

Answer: D

Step-by-step explanation:

the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D

(x – 6)² + y² = 36

x² + y² = 12

x² + y² = 144

(x + 6)² + y² = 36

(x + 12)² + y² = 144

**Answer:**

Options 2 and 5.

**Step-by-step explanation:**

The standard form of a circle is

... (1)

where, (h,k) is center and r is radius.

We need to find the circle that has a diameter of 12 units, and its center lies on the x-axis.

So, radius of required circle must be 6 and center is in the form of (a,0).

The first equation is

.... (2)

On comparing (1) and (2) we get

Center of the circle is (12,0) and radius is . So, option 1 is incorrect.

Similarly,

For equation 2, center of the circle is (6,0) and radius is . So, option 2 is correct.

For equation 3, center of the circle is (0,0) and radius is . So, option 3 is incorrect.

For equation 4, center of the circle is (0,0) and radius is . So, option 4 is incorrect.

For equation 5, center of the circle is (-6,0) and radius is . So, option 5 is correct.

For equation 6, center of the circle is (-12,0) and radius is . So, option 6 is incorrect.

**Therefore, the correct options are 2 and 5.**

its the** 2nd **and the **5th**