G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1
</span>
We are given that there are a total of 78 students. If we set the following variables:
Then, the sum of all of these must be 78, that is:
Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:
Simplifying:
Now we solve for P by subtracting 62 on both sides:
Therefore, there are 16 students in physics
Answer:
y=-3x+2
Step-by-step explanation:
Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.
m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.
Plugging in for (-1,5) and (1,-1), you will get:
m=(-1-5)/(1-(-1))=-6/2=-3
Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.
m=-3, b=2
y=-3x+2
Answer:
1/3 min ( = 20 seconds)
Step-by-step explanation:
The period of the ride is the time he takes to complete 1 revolution
We are given:
12 revolutions -------> takes 4 min
1 revolution ------> takes 4/12 = 1/3 min (= 20 seconds)
Answer:
7-3x
Step-by-step explanation:
8+9=17
17-10=7
7-3x
