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igor_vitrenko [27]
2 years ago
10

1. Consider the equation 2 x e x + = . This equation has a solution close to x = 0 .

Mathematics
1 answer:
nadya68 [22]2 years ago
4 0

Answer:

the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).

Step-by-step explanation:

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If a rectangular piece of metal has 27.75 square inches what is the length and width?
svp [43]

We cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations.

<h3>What are the dimensions of a rectangular piece of metal?</h3>

By geometry we know that the area of the piece of metal is equal to the product of its length and width, then we must find two <em>real</em> numbers such that:

l · w = 27.75, where l, w > 0.

Unfortunately, we cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations. We need at least one equation to find an <em>unique</em> solution.

To learn more on rectangles: brainly.com/question/15019502

#SPJ1

4 0
2 years ago
What is equivalent to 6/8?
patriot [66]
3/4
75%
0.75
75/100
theres a lot
4 0
3 years ago
Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16
s344n2d4d5 [400]

Answer:

k=3

Step-by-step explanation:

Let

f(x)=2x^3+18x^2-18x-162

We factor 2 to obtain;

f(x)=2(x^3+9x^2-9x-81)

We factor the polynomial within the parenthesis by grouping.

f(x)=2(x^2(x+9)-9(x+9)

f(x)=2(x^2-9)(x+9)

f(x)=2(x^2-3^2)(x+9)

We apply difference of two squares on the second factor: x^2-3^2=(x-3)(x+3)

f(x)=2(x+3)(x-3)(x+9)

We now compare to;

f(x)=2(x+k)(x-k)(x+9)

It is now obvious that k=3

6 0
3 years ago
A bag contains 8 purple marbles &amp; 12 green marbles. You choose one marble out of the bag without looking.
MrRissso [65]

Answer:

1. P(P) = 8/20 = 0.4

2. P(G) = 12/20 = 0.6

Step-by-step explanation:

Given;

Number of green marbles G = 12

Number of purple marbles P = 8

Total T = 12+8 = 20

The probability that you choose a purple marble P(P) is;

P(P) = number of purple marbles/total number of marbles

P(P) = P/T = 8/20 = 0.4

P(P) = 0.4

The probability that you choose a Green marble P(G) is;

P(G) = number of Green marbles/total number of marbles

P(G) = G/T = 12/20 = 0.6

P(G) = 0.6

6 0
3 years ago
The atmosphere flows in large convection currents.
OleMash [197]
B. Warm air rises,and cool air sinks.
7 0
3 years ago
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