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4 years ago

Farmer Ed has 2,500 meters of fencing,

Mathematics

1 answer:

Juliette [100K]4 years ago

4 0

Answer:

Because it is a rectangle, the area is expressed as A = xy, or length times width.

Because it is next to the river, he only needs to fence three sides, so F = x + 2y.

Knowing the amount of fencing available is 7500m, we get:

7500 = x + 2y solve for x

x = 7500 - 2y substitute into the area equation

A = (7500 - 2y)y distribute

A = -2y2 +7500y

You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875

x = 7500 - 2(1875) = 3750

A = 3750(1875) = 7,031,250 m2

Step-by-step explanation:

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Write the equivalent of the fraction using a denominator of 52. 2/13

il63 [147K]

The equivalent of the fraction using a denominator of 52. 2/13 is 261/65.

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

The given question is a mixed fraction which can then be sorted in two fractions shown as below

52. 2/13

= (52 + 0.2)/13

=52/13 + 0.2/13

= 4 + 1/65

= (65x4 + 1)/65

= 261/65

Thus the equivalent of the fraction using a denominator of 52. 2/13 is 261/65.

Learn more about Mixed Fractions here :

brainly.com/question/17767863

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2 years ago

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Step-by-step explanation:

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3 years ago

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She has 94 coins in all and the total value is $19.30. How many dimes and how many quarters does she have?

katrin2010 [14]

66 quarters and 28 dimes.
It took some time, but it is easy if you put it in an algebraic equation.

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4 years ago

for In the given expression, calculate as indicated. Express your answer as a single polynomial in standard form. 4x^(3)-2x^(2)

matrenka [14]

Answer:

The polynomial in standard form is $y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}$ .

Step-by-step explanation:

A polynomial in standard fulfills the following condition:

$y = \Sigma_{i=0}^{m}\,c_{i}\cdot x^{i}$ , $\forall\,i\in \mathbb{N}$ , $0 \leq i \leq m$

Let be $y = (4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)$ , which is now handled algebraically:

1) $(4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)$ Given

2) $(4\cdot x^{3}-2\cdot x^{2}+9) +(-1)\cdot (6\cdot x^{2}-6\cdot x + 5)$ $(-1)\cdot a = -a$

3) $(4\cdot x^{3}-2\cdot x^{2}+9) +[(-1)\cdot (6\cdot x^{2})+(-6\cdot x)\cdot (-1)+5]$ Definition of substraction/Distributive property

4) $(4\cdot x^{3}-2\cdot x^{2}+9)+(-6\cdot x^{2}+6\cdot x + 5)$ $(-1)\cdot a = -a$ / $(-a)\cdot (-b) = a\cdot b$

5) $4\cdot x^{3}+ (-2\cdot x^{2}-6\cdot x^{2})+6\cdot x + (9+5)$ Associative and commutative properties

6) $4\cdot x^{3}-8\cdot x^{2}+6\cdot x + 14$ Distributive property/Definition of addition

7) $14 + 6\cdot x -8\cdot x^{2}+4\cdot x^{3}$ Commutative property/Result

The polynomial in standard form is $y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}$ .

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3 years ago

I need to know order pairs for this equation

kompoz [17]

Hi, you haven't provided the equation that you need order pairs for.

Therefore, I'll just explain how to find order pairs in general and you can apply the same method to the the equation you have

Answer with explanation:

Order pairs of any equation are (x,y) values that satisfy this equation

To get them, the simplest way is to assume a value for x, use this value to substitute in the equation you have and then solve for the corresponding y

Example:

Consider the equation: x + 2y = 8

at x = 0: 0 + 2y = 8 ............> 2y = 8 ..........> y = 4 ............> order pair is (0,4)

at x = 2: 2 + 2y = 8 ............> 2y = 6 ..........> y = 3 ............> order pair is (2,3)

at x = 4: 4 + 2y = 8 ............> 2y = 4 ..........> y = 2 ............> order pair is (4,2)

Now, we can say that (0,4), (2,3) and (4,2) are order pairs that satisfy the given equation

For your equation:

1- Assume value of x

2- Substitute with that value in the equation

3- Solve the equation for the corresponding y

4- The order par pair would be:

(assumed x value , corresponding calculated y value)

Hope this helps :)

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3 years ago