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Mrac [35]
2 years ago
15

|x-2| + |2x+1| ≥ 3 How to solve this inequality? HELP

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:x\ge \:0\:\\ \:\mathrm{Decimal:}&\:x\le \:-0.66666\dots \quad \mathrm{or}\quad \:x\ge \:0\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{2}{3}]\cup \:[0,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

\left|x-2\right|+\left|2x+1\right|\ge \:3

x

x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:0\le \:x

x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:x\ge \:0

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X/2-7=9 solve what “x” mean
Elden [556K]

Answer:

x = 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x /2  −7=9

1 /2 x + (−7) = 9

1 /2 x − 7 = 9

Step 2: Add 7 to both sides.

1 /2x − 7 + 7 = 9 + 7

1 /2 x = 16

Step 3: Multiply both sides by 2.

2*( 1 /2 x) = (2) * (16)

x = 32

7 0
3 years ago
Describe the end behavior of f(x)=10x^4
Reika [66]
<span>I think when you ask me to describe the end behavior of f(x)=10x^4 you mean for me to answer like this 10^4=10,000.</span>
5 0
3 years ago
An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (
kolezko [41]

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}

Let x is the distance between the bird and the nest

So,

\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m

So, the distance between the bird and the nest is 18311.61 m.

7 0
3 years ago
The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -
ra1l [238]

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

5 0
3 years ago
What is (+16) - (+2)?​
Nimfa-mama [501]

Answer:

(+16) - (+2) = 14

Step-by-step explanation:

Hope this helped you!

5 0
3 years ago
Read 2 more answers
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