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2 years ago

4-2x=22 relationship can be written as

Mathematics

1 answer:

Dovator [93]2 years ago

8 0

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9

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

Phoenix [80]

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:

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

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

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

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2 years ago

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2 years ago

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If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than onc

Dmitry [639]

Answer:

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)= $\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting sum of three prime numbers selected will be odd= $\frac{9C_3}{10C_3}$

$nC_r=\frac{n!}{r!(n-r)!}$

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)= $\frac{\frac{9!}{3!6!}}{\frac{10!}{3!7!}}=\frac{9!}{3!6!}\times \frac{3!\times 7\times 6!}{10\times 9!}$

Probability of getting sum of three prime numbers selected will be odd=P(E)= $0.7$

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3= $0.3\times 100=30$ %

By using formula P(E')=1-P(E)

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2 years ago

How many parallelograms can be made if one angle measures 50 degrees and one side is 10 centimeters

Softa [21]

So we know that in case of a parallelogram the opposite sides and opposite angles are equal
so than given that one angle measure 50 degrees so the opposite angle measure 50 degrees too and so in this way the other two opposite angles measures equal 360 -2*50 =360 -100 = 260 degrees so one to one will be 260/2 = 130 degrees
- in this way bc. given that one side has a length of 10 cm so from this result that the opposite side has 10 cm too
- and from theses above wrote result that one parallelogram can be made with these given dimensions

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3 years ago

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dezoksy [38]

Answer:

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