The correct answer is A) g≥5
This is because when you look at an absolute value function, the constant at the end is the y value of the vertex. Since it is an absolute value equation, we know that the values can only go up. Therefore, it must be greater than or equal to the constant at the end (5)
Answer:
option C
Step-by-step explanation:
we have
using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]
case A) 
using a graphing tool
The range is the interval--------> [-8,∞)
case B) 
using a graphing tool
The range is the interval--------> [8,∞)
case C)
using a graphing tool
The range is the interval--------> (-∞,8]
case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]
Answer:
Option D
Step-by-step explanation:
the height of the first rectangle ( 30 ) over the height of the other rectangle ( 3 ) is 30/3 and equals 10
the length of the first rectangle ( 60 ) over the length of the second rectangle ( 6 ) is 60/6 and equals 10
the ratio of the sides of both rectangles are equivalent therefore the are similar
Let
R = Ralph's age
S = Sara's age
First statement is translated as:
S = 3R
Second statement is translated as:
S + 4 = 2(R + 4)
Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
