Answer:
DF = 38
Step-by-step explanation:
2x+2x-6=3x+5
4x-6=3x+5
x=11
DF = 3(11)+5
DF=33+5
DF=38
A reasonable domain and range is the set of values that exist for the function. The sets that are not reasonable are not considered domain and range. For instance, f(x) = 15√(x - 3)
The reasonable domain is {x | R, x ≥ 3} since you can't have negative value inside the radicand.
The reasonable range is {f(x) | R, f(x) ≥ 0} since the minimum value is 0 [Noting that x = 3 gives f(3) = 15√(3 - 3) = 15√0 = 0]
Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.