As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
Answer:
The question has some details missing; i.e
a. What is the probability that the shopper has neither type of card?
b. What is the probability that the shopper has both types of card?
c. What is the probability the individual has a Visa card but not a Mastercard? (Hint: You will use the answer)
a) 0.24
b) 0.24
c) 0.36
Step-by-step explanation:
The detailed steps is shown in the attachment.
Answer:
114 degrees
Step-by-step explanation:
Hi there.
Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).
We know that if this is a straight angle, that 
.
Therefore, m∠x = 114 degrees.
Hope this helps! :^)
I think you forgot to attach a pic.
Let y be Justin base pay, w% be commission,
y + w%*600=350-----(1)
y+w%*900= 425-----(2)
From equation (1),
y = 350- w%*600 = 350-6w-------(3)
Substitute equation (3) into (2),
350-6w+9w=425
3w = 425-350= 75
w= 25
y = 350-6w= 350-6(25)= 200
so the function is base pay +25%of merchandise
Final answer is $ (200 + 0.25x)
