Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
Answer: The graph is attached.
Step-by-step explanation: The given functions whose graphs are to be compared are as follows:
In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.
But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).
At x = 0, y = ∞ and at x = ∞, y = 6 in graph (B).
Thus, the comparison can be seen in the figure very clearly.
Answer:
d = kr
Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)
Translating this into equation, we would get the following:
d = kr
Hope this helps :)
Answer:
Explanation:
The given points are:
- (0, 275)
- (1, 220)
- (2, 165)
- (3, 110)
- (4,55)
- (5, 0)
Since a <em>straight line joins</em> all the points, the equation that models the <em>relationship</em> is linear and you can find the slope-intercept equation which has the general form:
Where:
is the slope
is the y-intercept
<u>1. Find the slope</u>
You can use any two ordered pairs.
- m = rise/run = Δy/Δx = [220 - 275] /[1 - 0] = - 55
<u>2. Find the y-intercept</u>
The y-intercept is the value of y when x = 0; thus it is 275.
<u>3. Substitute in the slope-intercept equation</u>
That is the last option.
So 15% is out of 100%, and the cab company has sent 30 cabs out of x?(x is the total number of cabs).
So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:
<span>15x = 100 * 30
</span>
We do the multiplication on the right side
15x = 3000
And divide to isolate the "X" variable
x = 200
So, the cab company has 200 cabs total, and they sent out 30 of them.