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mariarad [96]
3 years ago
9

Find quadratic equation having zeroes as -3/alpha and 2/alpha

Mathematics
1 answer:
Degger [83]3 years ago
3 0
(x-\frac{2}{\alpha})(x+\frac{3}{\alpha)}=x^{2}+\frac{x}{\alpha}-\frac{6}{\alpha^{2}}
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universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber
Minchanka [31]

Answer:

Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.

6 0
3 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9
Semmy [17]
A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition
5 0
3 years ago
One mile is equal to 5,280 feet. What is the sum of the lengths of all 18 holes on the golf course in miles?
soldi70 [24.7K]

Answer:

the answer would be 4 Miles.

explanation:

We already know that 5,280 feet equals 1 Mile, and so we divide-

21,120 divided by 5,280, and that equals 4.

hope that made sense! I’m not very good with wording things! :)

8 0
3 years ago
Which ratio can be used to form a proportion with the given ratio? 3 to 4
quester [9]

As soon as I see the word "Which ...", I know that there's a list of choices that
goes along with this question, but you decided not to share them.  So there's
no way for me to help you choose the correct one.

In order to form a proportion with 3/4, you need another fraction (or ratio) that's
equal to 3/4 .  Look for a fraction whose numerator is 3/4 of its denominator. 

Here are a few examples:

-- 6 / 8
-- 24 / 32
-- 300 / 400
-- 12 million / 16 million
-- 3x / 4x
-- 15abc / 20abc
-- 3(x+y+z) / 4(x+y+z)


6 0
3 years ago
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