This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.
We would simply divide.
4320/950= 4.5
The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.
Therefore, the answer would be 4.5 days.
<u>Answer</u>
4.5 days
<u>Recap</u>
1. We read the problem and determined that in order to solve the problem we would need to divide.
2. We then divided 4320/960= 4.5
3. We came to the conclusion that 4.5 days would be the answer.
Answer: Given relation is a function
A relation is said to be a function if no value in its domain is paired up with more than one value in its range.
Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:
A relation is said to be a function if an x-value is not paired up with more than one y-value.
From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function.
