Answer:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
and ![x \ge 8](https://tex.z-dn.net/?f=x%20%5Cge%208)
Combine the first two inequalities:
and ![x \ge 8](https://tex.z-dn.net/?f=x%20%5Cge%208)
For the inequality to be true, we must have:
![2 < x \le 8](https://tex.z-dn.net/?f=2%20%3C%20x%20%5Cle%208)
In interval notation, the inequality is:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Answer:
12.9
Step-by-step explanation:
sin 59 = opposite/hypotenuse
opposite is x, the dimension facing the angle 59
hypotenuse is the longest side = 15
sin 59 = x/15
x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth
Answer:
50 gallons 20%
50 gallons 30%
Step-by-step explanation:
If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:
x + y = 100
0.20x + 0.30y = 0.25(100)
Solve the system of equations using substitution or elimination. Using substitution:
0.20x + 0.30(100 − x) = 0.25(100)
0.20x + 30 − 0.30x = 25
5 = 0.10x
x = 50
y = 50
Answer: A
Step-by-step explanation:
5 is in the ones place rather that the tens place.
Answer:
y = -x – 2
Step-by-step explanation: