If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.
Then the inequality becomes:
2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)
If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).
Then the inequality becomes:
-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.
(which is an acceptable result since we already assumed x<-3.5)
Thus the answer is x<-15 or x>8.
The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.
Answer:
Alia=28
Huda=12
Step-by-step explanation:
Let the constant of proportionality be x
Hence, no. of sweets Alia had initially = 7x
No. of sweets Huda had initially = 3x
No. of sweets Alia has now= 7x-3
No. of sweets Huda has now= 3x+3
We know that, the ratio of the no. of sweets Alia has now to no. of sweets Huda has now = 5:3
Hence,
![(7x-3) : (3x+3)=5:3\\By\ equalizing\ the\ ratios,\ we\ get,\\ 3(7x-3)=5(3x+3)\\21x-9=15x+15\\21x-15x=15+9\\6x=24\\x=4](https://tex.z-dn.net/?f=%287x-3%29%20%3A%20%283x%2B3%29%3D5%3A3%5C%5CBy%5C%20equalizing%5C%20the%5C%20ratios%2C%5C%20we%5C%20get%2C%5C%5C%203%287x-3%29%3D5%283x%2B3%29%5C%5C21x-9%3D15x%2B15%5C%5C21x-15x%3D15%2B9%5C%5C6x%3D24%5C%5Cx%3D4)
As we now got the constant of proportionality to be 4,
No. of sweets Alia had initially = 7*4=28
No. of sweets Huda had initially= 3*4=12
Answer:
(1, -3)
Step-by-step explanation:
Where those broken lines cut the X the Y axis
Eight faces!!!
In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices.
Hope this helps! :D
Answer:
$205
Step-by-step explanation:
260 + (-55) is basically 260 - 55.
So 260 - 55 = 205.
Hope this helps!