Answer:
y= -2/5 x -4
Step-by-step explanation:
So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:
m=(y2 - y1 )/(x2 - x1)
If you were using the points, (-10,0) and (0, -4) the equation would be:
m=(-4-0) / (0+10)
So, m= -2/5
The equation of the line would end up being:
y= -2/5 x -4
9514 1404 393
Answer:
25 (ft/s)
Step-by-step explanation:
The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.
The rate of change is ...
rise/run = (25 ft)/(1 second) = 25 ft/second
Usually, we're just interested in the numerical value: 25.
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<em>Additional comment</em>
The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the <em>slope</em> of the line on the graph, not its <em>value</em>.
Answer:
-5 ≤ n ≤ 3
Step-by-step explanation:
Firstly we solve the equation two at a time;
5n + 17 ≥ n - 3
5n - n ≥ -3 - 17
4n ≥ -20
n ≥ -5
-5 ≤ n
n - 3 ≥ -15 + 5n
n - 5n ≥ -15 + 3
-4n ≥ -12
-n ≥ -3
n ≤ 3
Therefore,
5n+17 ≥ n–3 ≥ –15+5n, becomes
-5 ≤ n ≤ 3
Answer:
<em>The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
Step-by-step explanation:
The formula for calculating simple interest is expressed as;
SI = Principal * rate * time/100
SI = 50,000 * 6.9*39/100*12
SI = 500*6.9*39/12
SI = 134,550/12
SI = 11,212.5
<em>Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
P is the amount borrowed
R is the interest rate
T is the time in years
Answer:
Choice D). 8
Step-by-step explanation:
The value on n is simply the number of values or the size of the sample data. In our case, we have a total of 8 data values. The value of n will thus be 8
