x 
-9; x 
6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:
-9 x 6
or
x -9; x 6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
To learn more about inequalities click here brainly.com/question/24372553
#SPJ9
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
Answer:
(Hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
In pic
Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
Answer:
15
Step-by-step explanation:
15 x 2 = 30
