1. For x<3, h(x)=x+2
now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)
the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.
Range_1= (-∞, 5)
2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )
so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.
Range_2=(-∞,5]
3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5] (B)
Answer: the solution becomes 3=y+1-1
Step-by-step explanation:
The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.
Answer:
A) Ian will arrive first.
B) 6 Kilometers
C) 15 Minutes
Step-by-step explanation:
Answer:
<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>
Step-by-step explanation:
Distance run by the ostrich = 6 miles
Time the ostrich takes to run this distance = 12 minutes
Speed of the ostrich = Distance / Time
Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute
How far the ostrich could run in 40 minutes?
If the ostrich run 0.5 miles per minute, this is the formula:
Speed of the ostrich * 40 minutes = Distance
0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)
<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>
Answer:
a) 256 ft^2 No
b) 150 ft^2 Yes
c) 300 ft^2 NO
d) 192 ft^2 Yes
w=8.5 in
l=11 in
A=w•l
A=8.5•11=93.5 in^2
Scale:
1in:1.5 ft
1in^2:2.25 ft^2
1in ^2. 2.25ft^2
93.5 in^2. Xft^2
X=2.25•93.5
X=210.375
Step-by-step explanation:
