(1 point) For the equation given below, evaluate ′ at the point (−1,2). (5−)^4+4^3=2433. ′ at (−1,2) =

Answers

Answer 1
Answer:

Answer:

(343)/(71)

Step-by-step explanation:

Given the equation

(5x-y)^4+4y^3=2433

Find the derivative:

((5x-y)^4+4y^3)'=(2433)'\n \n4(5x-y)^3\cdot (5x-y)'+4\cdot 3y^2\cdot y'=0\n \n4(5x-y)^3\cdot (5-y')+12y^2y'=0

Substitute

x=-1\n \ny=2,

then

4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\n \n4(-5-2)^3(5-y')+48y'=0\n \n4\cdot (-7)^3\cdot (5-y')+48y'=0\n \n-1,372(5-y')+48y'=0\n \n-6,860+1,372y'+48y'=0\n \n1,420y'=6,860\n \ny'=(6,860)/(1,420)=(686)/(142)=(343)/(71)


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Which of the following is the general term for the sequence m, -m, m, -m, . . .? A. m(-1)^(n-1)
B. (-m)^n
C. (-1)m^(n + 1)
D. (-1)m^(n - 1)

Answers

Answer:

  A. m(-1)^(n-1)

Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

_____

You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

Final answer:

The general term for the sequence m, -m, m, -m, ... is m(-1)^(n-1). This is correct because -1 when raised to an odd power gives -1, and when raised to an even power gives 1, ensuring alternation between m and -m.

Explanation:

The question refers to a sequence where the terms alternate between positive and negative values of m. The general term that describes such a sequence is m(-1)^(n-1).

This term works because when raised to an odd power, -1 gives -1, and when raised to an even power, -1 gives 1. Thus, the expression alternates between m and -m for different values of n.

For instance, when n is 1, the term is m; when n is 2, the term is -m; when n is 3, the term is m; and so on. Therefore, the correct answer is option A: m(-1)^(n-1).

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 any help would be great

Answers

Answer:

k = P - m - n

Step-by-step explanation:

The question is asking you to rearrange the equation so that k is alone on one side.

P = k + m + n

P - k = (k + m + n) - k

P - k = m + n

(P - k) - P = m + n - P

-k = m + n - P

-1(-k) = -1 (m + n - P)

k = -m - n + P

The equation is completely simplified so this is your answer.

2(x – 9) = 10x + 11
Help

Answers

Answer:

exact form: -28/8

decimal form: -3.625

mixed number form: -3 5/8

Answer:

x = -3.625

Step-by-step explanation:

Find the number of distinct triangles with a=11, b=17, and A=23°A. 0
B. 1
C. 2
D. cannot be determined

Answers

The answer would be C, 2

Y<-2/3 x-1 graphing the inequality

Answers

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

This is a scale drawing of an apartment. The actual apartment has a perimeter of 160 ft. Draw another scale drawing of the apartment using the scale 20 ft to 1 unit from the apartment to the drawing. EXPLAIN your reasoning.

Answers

The attached drawing is the apartment using the scale 20 ft to 1 unit from the apartment to the drawing.

As the perimeter lies along the edges of squares and we count 16 sides of squares as we work around the perimeter,

this means that each square is

160 / 16 = 10 ft on a side.

so 10 ft in real life plots to 1 unit on the drawing

If the scale is changed to 20 :1 ,

then the drawing would be exactly the same shape, only each side would have half the original drawing units.

In stead of a 40 ft side being represented by 40 ft / 10 ft/unit = 4 units,

That side would be 40 ft / 20 ft/unit = 2 units

Hence, The attached drawing is the apartment using the scale 20 ft to 1 unit from the apartment to the drawing.

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Answer:

Step-by-step explanation:

As the perimeter lies along the edges of squares and we count 16 sides of squares as we work around the perimeter, this means that each square is

160 / 16 = 10 ft on a side.

so 10 ft in real life plots to 1 unit on the drawing

If the scale is changed to 20 :1 , then the drawing would be exactly the same shape, only each side would have half the original drawing units.

In stead of a 40 ft side being represented by 40 ft / 10 ft/unit = 4 units, That side would be 40 ft / 20 ft/unit = 2 units