We are given equations y =3.5x and y=25x +40.50.
Where x represent time in hours and y represents cost in dollars.
We need to determine that which equation is not the equation of a proportional relationship?
In first equation we have slope 3.5 and y-intercept 0.
In second equation, we have slope 25 and y-intercept 40.50.
<em>In order to have a a proportional relationship, there should be y-intercept =0.</em>
<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>
Step-by-step explanation:
First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
The slopes of two parallel lines must be identical.
We have slope

, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,

, where our point

is substituted for

.

Now, we convert to slope-intercept form as such.

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
Answer:
5381.6
Step-by-step explanation:

