For this case, what we must do is calculate the speed of the runner.
We have then that the speed is given by:
Where,
d: distance
t: time
Substituting values we have:
Answer:
the runners unit rate is:
3y+x=12 in slope intercept form is y=-1/3+4
X = 2
<span>y = 3 </span>
<span>2 + 3 = 5 </span>
<span>2³ + 3² = 17 </span>
<span>------------------- </span>
<span>BUT: </span>
<span>x + y = 5 </span>
<span>x^y + y^ x = 17 </span>
<span>y = 5 - x</span>
Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1.
separation of variables
integration both sides
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range
Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5