Answer:
x >=5 or x <=-3
Step-by-step explanation:
Solve an absolute value inequality
3|x-1| >= 12
Divide each side by 3
3/3|x-1| >= 12/3
|x-1| >= 4
Now there are two solutions
x-1 >= 4 or x-1 <= -4
Add 1 to each side
x-1+1 >= 4+1 or x-1+1 <= -4+1
x >=5 or x <=-3
Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Answer:
2inch^2 is our area overlap
Step-by-step explanation:
2 inch base 2 inch width when crossed shows us symmetrical line on the parallel, which gives us our height of 1 inch as one inch equilateral triangle is formed each side of the symmetrical line.
Formula for Area is bh
Area = 1 x 2 = 2inch^2
Answer:
the successful candidate won the election with a 24% margin.
Step-by-step explanation:
With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:
577,500+
348,700=926,200
Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:
577,500/925,200=0.62*100=62%
348,700/926,200=38%
Now, you need to find the difference between both percentages to get the margin:
62%-38%=24%
According to this, the answer is that the successful candidate won the election with a 24% margin.
Answer: False
Step-by-step explanation:
The base is more than 1, so the function is increasing.
