Answer:
a0) 2
x<0
a1) x
0≤x<3
a2) 3
x≥3
Step-by-step explanation:
As shown in the given graph
function of y is a straight line at y=2 line till x=0
hence a0:
y= 2 for x<0
Then function becomes linear line from x=0 till x=3
hence a1:
y= x for 0≤x<3
Now after that graph of function y again shift to straight line from x=3 onward with y-axis value of 3
hence a2:
y= 3 for x≥3 !
Answer:
Well since they're bringing 1 each day, just multiply that by the number of days of school, or just use the variable x to replace it.
1x = the number of box tops they each bring to school
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:

Substituting figures, we have:
Let's make h subject of the formula.

The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer: $0.95
Step-by-step explanation:
Hi, to answer this question we simply have to add all amounts raised by the government, the manufacturer, and the retailer.
Mathematically speaking:
$0.20+$0.60+$0.15 = $0.95
So, a consumer pays $0.95 more per bottle of soda.
Feel free to ask for more if needed or if you did not understand something.
Answer:
y= -3x+2
Step-by-step explanation:
Parallel lines have the same slope. We can form an incomplete equation:
y= -3x+b
(make sure to see why the slope is -3)
We can plug in the coordinates of (2, -4):
-4= -3(2)+b
-4= -6+b
2=b
b is 2! We can form an equation: y= -3x+2