The linear inequality that is represented by the graph is; y ≤ One-halfx + 2
<h3>How to Interpret Inequality Graphs?</h3>
The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the inequality graph attached, we can see that we can calculate the slope from;
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(2 - 0)
m = 1/2
We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.
The line is a solid line and not dotted and the shaded part is beneath the line and as such;
The inequality is; y ≤ One-halfx + 2
Read more about Inequality Graphs at; brainly.com/question/11234618
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5y - 6 = 18. Add 6 to both sides. 5y = 24. Divide by five and you end up with y = 24/5, which could also be written as 4.8.
Answer:
The rates are 1/2 yards per hour
Step-by-step explanation:
Here, we want to calculate the rate of change in the amount of yarn
We start by calculating the difference between what we had initially and what we have now
That will be;
3 3/4 - 1 1/8
= 15/4 - 9/8 = 21/8 yards
So we now divide this by the number of hours
21/8 yards divided by 51/4
= 21/8 * 4/21 = 1/2 yards per hour
One revolution corresponds to an angular displacement of
, so its angular speed is
![32\,\mathrm{rpm}=\left(32\dfrac{\rm rev}{\rm min}\right)\left(2\pi\dfrac{\rm rad}{\rm rev}\right)=64\pi\dfrac{\rm rad}{\rm min}](https://tex.z-dn.net/?f=32%5C%2C%5Cmathrm%7Brpm%7D%3D%5Cleft%2832%5Cdfrac%7B%5Crm%20rev%7D%7B%5Crm%20min%7D%5Cright%29%5Cleft%282%5Cpi%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20rev%7D%5Cright%29%3D64%5Cpi%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20min%7D)
radians is equivalent to 180 degrees, so the angular speed could also be
![\left(64\pi\dfrac{\rm rad}{\rm min}\right)\left(\dfrac{180}\pi\dfrac{\rm deg}{\rm rad}\right)=11,520\dfrac{\rm deg}{\rm min}](https://tex.z-dn.net/?f=%5Cleft%2864%5Cpi%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20min%7D%5Cright%29%5Cleft%28%5Cdfrac%7B180%7D%5Cpi%5Cdfrac%7B%5Crm%20deg%7D%7B%5Crm%20rad%7D%5Cright%29%3D11%2C520%5Cdfrac%7B%5Crm%20deg%7D%7B%5Crm%20min%7D)
The linear speed depends on the wheel's radius. Suppose its radius is
. Then the wheel has circumference
units. A point on the edge of the wheel travels this distance in one revolution, so its linear speed is
![\left(32\dfrac{\rm rev}{\rm min}\right)\left(2\pi r\dfrac{\rm u}{\rm rev}\right)=64\pi r\dfrac{\rm u}{\rm min}](https://tex.z-dn.net/?f=%5Cleft%2832%5Cdfrac%7B%5Crm%20rev%7D%7B%5Crm%20min%7D%5Cright%29%5Cleft%282%5Cpi%20r%5Cdfrac%7B%5Crm%20u%7D%7B%5Crm%20rev%7D%5Cright%29%3D64%5Cpi%20r%5Cdfrac%7B%5Crm%20u%7D%7B%5Crm%20min%7D)
(where
stands for units of length)
Answer:
8
Step-by-step explanation:
When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.
What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n. Since n is replaced with 4, we do the same with the sequence.
2(4)
Multiply
8