In order to solve for parallel, perpendicular, or neither, you have to look at the slope.
If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither.
So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3 The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2
For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.
Since both slopes are -3/2, then you have parallel equations!
(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)
I hope this helps!! Please ask if you have more questions!
Answer:
4.91 hope this helps :D
Step-by-step explanation:
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
=y
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
Answer:
c(t) = 25 +12 * t
where t is the number of shirts
Step-by-step explanation:
The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts
total = fee + cost per shirt* shirts
1825 = 25 +c*150
where c is the cost per shirt
We need to determine the cost per shirt by subtracting 25 from each side
1825-25 = 150c
1800 =150c
Divide by 150 on each side
1800/150 =150c/150
12 =c
Each shirt costs 12 dollars
We want to make the function in terms of cost per shirt
c(t) = 25 +12 * t
where t is the number of shirts
Answer:y=10
Step-by-step explanation:
