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3 years ago

What is the solution to the inequality |2n+5| > 1 ?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

n > -2 or n < -3

Step-by-step explanation:

|2n+5| > 1

We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative

2n+5 > 1 or 2n+5 < -1

Subtract 5 from each side

2n+5-5 > 1-5 2n+5 -5 < -1 -5

2n >-4 2n < -6

Divide by 2

2n/2 > -4/2 2n/2 < -6/2

n > -2 or n < -3

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Please help!! Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs!! Wha

Oliga [24]

Answer:

-1

Step-by-step explanation:

Use the formula for slope: (y1-y2)/(x1-x2)

(2-4)/(3-1)=-2/2=-1

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3 years ago

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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

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3 years ago

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nikdorinn [45]

Answer:

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Step-by-step explanation:

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3 years ago

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What fraction lies between 2/3 and 6/7 on the number line?

irinina [24]

Answer:

D. 5/6

Step-by-step explanation:

The given fractions have decimal values of ...

2/3 ≈ 0.67

6/7 ≈ 0.86

The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.

The last choice (5/6) is between 2/3 and 6/7.

Using a common denominator of 42, these three fractions are ...

2/3 = 28/42

5/6 = 35/42

6/7 = 36/42

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3 years ago

Find the area of the shaded portion in the square. Show all work for full credit.

kumpel [21]

Well, what I would do [not sure if it's the correct way], is use the white area as a sector of a circle. The top right of the box is the center of the circle, so the radius is 6.
Then, by the white portion being one quarter of the circle (90° out of 360°), I could calculate the that pink shaded region = the total square (6×6) minus the white sector.
So area (A) of white sector (s): A(s) = 1/4×pi×r^2
$A(s) = \frac{\pi {r}^{2} }{4} = \frac{\pi \times {6}^{2} }{4} \\ A(s) = \frac{36\pi}{4} = \frac{9\pi}{1} = 9x3.142 \\ A(s) = 28.27$
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3 years ago

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