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stiks02 [169]
4 years ago
14

Identify the set of numbers that best describes the score with respect to par of several golfers: 2, -3, 5, 0, -1.

Mathematics
2 answers:
Nuetrik [128]4 years ago
5 0
Integer and rational numbers
balandron [24]4 years ago
4 0

Answer:

Rational numbers and Integers

Step-by-step explanation:

A set of numbers including positive, negative and zero that can be written as a ration of of two numbers without any fraction are known as rational numbers.

Integers are numbers lying in range from  negative infinity to positive infinity on a number line excluding all the fractions.

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Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 2x2y,
hjlf

Answer:

f(-2,-1) = -8 is the minimum value of f(x,y)

f(2,1) = 8 is the maximum value of f(x,y)

Step-by-step explanation:

f(x,y) = 2x²y under the constraint 2x² + 4y² = 12

Let g(x,y) = 2x² + 4y² - 12

df/dx = 4xy, df/dy = 2x², dg/dx = 4x and dg/dy = 8y

Now, using the principle of Lagrange multipliers,

df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.

Substituting the values of the variables, we have

df/dx + λdg/dx = 0    and df/dy + λdg/dy = 0.

4xy + 4xλ = 0      (1)           2x² + 8λy = 0  (2)

xy + xλ = 0

x(y + λ) = 0

x = 0 or y + λ = 0

Since x ≠ 0, y = -λ

Substituting y = -λ into (2), we have

2x² + 8λy = 0

2x² + 8λ(-λ) = 0

2x² - 8λ² = 0

2x² = 8λ²

x² = 4λ²

x = ±2λ  

Substituting the values of x and y into the constraint equation, we have

2x² + 4y² = 12

2(±2λ)² + 4(-λ)² = 12

2(4)λ² + 4λ² = 12

8λ² + 4λ² = 12

12λ² = 12

λ² = 1

λ = ±1

Substituting the value of  λ into x and y, we have

x = ±2λ = ±2(±1) = ±2

y = -λ = -(±1) = ±1

The minimum values of x and y are -2 and -1 respectively. Substituting these int f(x,y), we have

f(-2,-1) = 2(-2)²(-1) = 2 × 4 × (-1) = -8

So f(-2,-1) = -8 is the minimum value of f(x,y)

The maximum values of x and y are 2 and 1 respectively. Substituting these int f(x,y), we have

f(2,1) = 2(2)²(1) = 2 × 4 × 1 = 8

So f(2,1) = 8 is the maximum value of f(x,y)

7 0
4 years ago
PLEASE ANSWER + BRAINLIEST !!!
Alchen [17]

x = 100 cm^2

d = 1.4*(x^1/2)

d = 1.4*(100^1/2)

d = 1.4*10

d = 14 cm

Hope this helps!

5 0
3 years ago
Does anyone understand what to do here?
My name is Ann [436]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.

Polynomials with 1, 2, or 3 terms are called, respectively, <em>monomial</em>, <em>binomial</em>, and <em>trinomial</em>. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.

__

The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.

__

The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.

3 0
3 years ago
1 more than twice as many CDs is 17
Zinaida [17]

Answer:

original number is 8

Step-by-step explanation:

3 0
3 years ago
Calling All Mathematicians Please Please Please Help On This Question!!!!!!!!!!!!!!
Fiesta28 [93]
Use the distance formula, AB=√[(1-(-9)]²+[(-1-(-3)]=√[100+4]=√104
use the same formula, AC=√52, BC=√52
AC²+BC²=52+52=104=AB²
Yes, it is a right triangle. 
8 0
3 years ago
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