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)
<span><span>a^<span>x−6</span></span>=<span><span><span>2<span>^x−4</span></span>/4........ hope this answer helps </span></span></span>
It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function:
x l 1 2 3 4 5 6
y l 3 6 9 12 15 18
As x increases by 1, y increases by a multiple of 3
90 written as a decimal is 0.9
90 written as a fraction is 9/10
Answer:. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
Step-by-step explanation:
Total rocks = 62
A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks
(4 * 2) + (9 * 11) > 62 ( false)
B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
(9 * 2) + (4 * 11) = 18 + 44 = 62 rocks (true)
C. Have 9 cases of 2 rocks, and 1 case of 11 rocks
(9 * 2). + (1 * 11) < 62 ( false)
D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.
(1 * 2) + (4 * 11) < 62
