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Anna007 [38]
3 years ago
10

backyard garden rectangular in shape. determine the best length and width(in feet). how many feet of fencing would be needed? us

e the formula P=2L+2W
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
L = building side
W = non-building side

P = 2W + L = 42 (note only one L because the other L is the building itself)

Solve for L:

L = 42 - 2W


Area = l*w
Area = (42-2W)W = 42W - 2W2

Let area be y, so y = -2W2 +42W

Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.

Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0

a = -2
b = 42

W = -42/(2*-2) = -42/-4 = 10.5

W = 10.5
L = 42-2(10.5) = 42-21 = 21

Area = L*W = 21 * 10.5

A = 220.5 ft2
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Solve the equation by factoring:
kap26 [50]

Answer:

The two possible solutions are x = 7, or x = -2

which agree with answer a) in the list of options

Step-by-step explanation:

Start by moving all terms to one side of the equal sign, and then factoring out the constant term:

x^2-5x-14=0

The constant term  "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:

x^2-5x-14=0\\x^2-7\,x+2\,x-14=0\\x(x-7)+2(x-7)=0\\(x-7)\,(x+2) = 0

Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:

( x - 7 ) = 0  which means x = 7

or

( x + 2 ) = 0   which means  x = -2

So the two possible solutions are x = 7, or x = -2

7 0
3 years ago
Read 2 more answers
A box contains 4 red pencils and 6 black pencils. What fraction of the pencils are red write two equivalent fractions
sergejj [24]
It is 4/6 or 2/3. This is the only answer that i beleive is correct
5 0
4 years ago
Read 2 more answers
NEED HELP ASAP 70 POINTS
Nataliya [291]

Answer:

1) Option A) is correct

The given rational exponent expression is not simplified correctly as a radical expression is

x^{\frac{7}{4}}=\sqrt[7]{x^4}

2)Option A) is correct

That is (729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}

Step-by-step explanation:

1) Given that x^{\frac{7}{4}}=(\sqrt{x^7})^\frac{1}{4}

x^{\frac{7}{4}}=\sqrt[4]{x^7} is the correct answer but in the given problem they gave the RHS as wrong.

Therefore the given rational exponent expression is not simplified correctly as a radical expression is

x^{\frac{7}{4}}=\sqrt[7]{x^4}

2)Given that the rational exponent expression is (729x^3y^{-18})^{\frac{1}{6}}

To find it as a radical expression:

(729x^3y^{-18})^{\frac{1}{6}}=(729)^{\frac{1}{6}}(x^3)^{\frac{1}{6}}((y^{-18})^{\frac{1}{6}})

=3(x^{\frac{3}{6}})(y^{\frac{-18}{6}})

=3(x^{\frac{1}{2}})(y^{-3})

=\frac{3\sqrt{x}}{y^3}

Therefore (729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}

Therefore Option A) is correct

That is (729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}

3 0
3 years ago
X increased by 61% i really need hep and show me how you got it :))))
Harrizon [31]
The answer would me x + 6.01
And increase means to add so x + 61% = x + 6.01

Hope this helps

Have a great day/night
7 0
3 years ago
I need to answer three questions about y = x^(-2) on the interval [-4, -1/2]. I have attached my questions and my answers as scr
77julia77 [94]
I wasn't sure how to order things, so I decided to write directly on top of your screenshots. Have a look at the three attachments. Two of which are correct. There is one incorrect answer though you're fairly close. 

5 0
3 years ago
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