3 miles each day for x days is 3x
5 miles each day for y days is 5y
Frank ran at least as many miles as Latoya is 3x >/= 5y
Answer:
3a+7b>2b-8b
3a>2b-8b-7b
3a>2b-15b
3a>-13b
a>-13b/3
Step-by-step explanation:
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Answer: According with the graph, the input value for which the statement f(x)=g(x) is true (the value of "x" where the graph intersect) is 1.5 (third option).
Solution
The input value for which the statement f(x) = g(x) is true, is the value of "x" where the graph of the two functions intersect. Accordind with the graph, the two functions f(x) and g(x) intersect at x between 1 and 2, approximately at x=1.5
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
For more information about differential equation, visit
brainly.com/question/18760518
