Answer:
The zero of the function is; (-4,0). The y-intercept is; (0,4). The horizontal asymptote is; y =2. The vertical asymptote is; x= -2
Step-by-step explanation:
The zero of a function is the point where the graph of the function crosses the x-axis. The y-intercept is where the graph of the function crosses the y-axis. The horizontal asymptote is a horizontal line that the function approaches but never touches or crosses it. Finally, the vertical asymptote is a vertical line that the function approaches but never touches or crosses it
Answer:
5
Solution:
i used socratic for my answer
10. Kim gets $7 per hour and gets charged $1 for gloves
Use y to represent her pay and x to represent hours worked.
The equation is y = 7x - 1 because she gets 7 times x hours and there is a minus 1 because of the charge of gloves.
11. The table shows that each increasing hour, 8$ is added. Therefore we need to find the bonus that Kit receives just for showing up. This is when hours equals 0. If 3 hours is 27$ pay, then 2 hours is 19$ pay, 1 hour is 11$ pay and 0 hours is 3$ pay. We find that there is a 3$ bonus just for showing up.
Therefore the equation is y = 8x + 3
12. At x = 0, y = 2 so the y-intercept is 2. The slope is going down 4 and right one which means the slope is -4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = -4x + 2
13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = 1/4 x - 3
3/5+1/4=17/20
12/20+5/20=17/20
Answer:
25%
Step-by-step explanation:
60% of couples ordered dessert and coffee
20% of the couples ordered dessert but not coffee.
Let x be the total number of couples that ordered dessert.
Let y be the total number of couples that did not order dessert.
Couple that ordered dessert but not coffee = 20% * x
= 0.2x
60 + 0.2x = x
60 = x - 0.2x
60 = 0.8x
x = 60/0.8
x = 75
Total no of couples that ordered dessert and didn't order dessert = 100
x + y = 100
75 + y = 100
y = 100 - 75
y = 25%
the probability that the next couple the waiter seats will not order dessert = 25%