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Grace [21]
2 years ago
15

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

Mathematics
1 answer:
ryzh [129]2 years ago
6 0

Answer:

\dfrac{343}{71}

Step-by-step explanation:

Given the equation

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

Find the derivative:

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

Substitute

x=-1\\ \\y=2,

then

4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\\ \\4(-5-2)^3(5-y')+48y'=0\\ \\4\cdot (-7)^3\cdot (5-y')+48y'=0\\ \\-1,372(5-y')+48y'=0\\ \\-6,860+1,372y'+48y'=0\\ \\1,420y'=6,860\\ \\y'=\dfrac{6,860}{1,420}=\dfrac{686}{142}=\dfrac{343}{71}

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4.6w - 3 + 6.4x - 1.9y <br> What are the terms and coefficients?
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For the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Given: To find terms and coefficients in 4.6w - 3 + 6.4x - 1.9y

What are algebraic expressions?

Algebraic expressions are sequences or combinations of characters containing letters, numbers, variables, symbols, operands, etc.

They help in making a big problem short and to make a relationship between different parts of the problem.

What are the terms?

In algebraic expressions, terms are individual components involved in forming the algebraic expression except for the operators.

What are coefficients?

In algebraic expressions, coefficients are the numbers of letters that are associated with the variables.

Let's solve the given problem:

Given algebraic expression: 4.6w - 3 + 6.4x - 1.9y

Therefore the terms in the algebraic expression are: 4.6w, - 3, 6.4x, and - 1.9y

and the coefficients are: 4.6, 6.4, and -1.9 as w, x, and y are the variables or unknowns of the given algebraic expression.

Hence for the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Know more about "terms and coefficients" here: brainly.com/question/13867708

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