Mustafa, heloise, and gia have written more than a combined total of articles for the school newspaper. heloise has written \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction as many articles as mustafa has. gia has written \dfrac{3}{2}
2
3
start fraction, 3, divided by, 2, end fraction as many articles as mustafa has.
write an inequality to determine the number of articles, mmm, mustafa could have written for the school newspaper.
what is the solution set of the inequality?

Step-by-step explanation:

Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...

  m +m/4 +3m/2 > 22

This has solution ...

  (11/4)m > 22

   m > (4/11)22

   m > 8 . . . . . . . . the solution to the inequality

If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).

The solution set will be ...

  m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.