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DerKrebs [107]
2 years ago
11

Solve: I 2x +5 I + 6 ≥ 4

Mathematics
1 answer:
masya89 [10]2 years ago
4 0

Answer:

Step-by-step explanation:

This is an absolute value problem.

If we begin a tentative solution by subtracting 6 from both sides, we get

I 2x +5 I + 6 ≥ 4  =>   I 2x +5 I  ≥ -2

Note well that  I 2x +5 I has a value of 0 or greater; it cannot be negative.

Thus  I 2x +5 I  ≥ -2 has no solution.

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Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(
sukhopar [10]
Try this solution (see the attachment, it is consists of 3 steps).

4 0
3 years ago
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What is the sum of 4.108 and 15.23
Maslowich

Use a calculator and type

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19.338



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3 years ago
Write the quadratic function in vertex form. Then identify the vertex.
ddd [48]

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\

This is in the form

y = a(x-h)^2 + k\\(h, k)

So, the vertex is (2, -5)

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7 0
2 years ago
Find the distance between each pair of points E(-1, 0),F(12, 0)
Olegator [25]

Answer:

The answer is

<h2>13 \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\ </h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1, 0) and F(12, 0)

The distance between them is

<h3>|EF|  =  \sqrt{ ({ - 1 - 12})^{2}  +  ({0 - 0})^{2} }  \\  =  \sqrt{ ({ - 13})^{2} }  \\  =  \sqrt{169}</h3>

We have the final answer as

<h3>|EF| = 13 \:  \: units</h3>

Hope this helps you

5 0
3 years ago
Use the polynomial 3x^2−4x^11+4x^4−2x^10−5+^8x^8 to answer the question. 
Anit [1.1K]

Answer: 11

<u>Step-by-step explanation:</u>

3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸

To find the degree, look for the largest exponent.  <em>11</em>

If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.

- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5

4 0
3 years ago
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