Answer:
y - y1 = m(x - x1)
y - -3 = 3(x - 1)
y + 3 = 3x - 3
y = 3x - 3 - 3
y = 3x - 6
y = 3x - 6
Step-by-step explanation:
Thie equation is in slope-intercept form (y = mx + b)
The y-intercept is -6 .... ((0, -6) is one point on the line.
It is given that (1, -3) is also on the line. So to graph, plot those
2 points and connect them with a line.
Less than 90° = acute
more than 90° = obtuse
equal to 180° = straight
more than 360° = reflex
I'm thinking this is what the problem looks like:
. The first thing to do is to move the
over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:
. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.
Answer:
4 movies, $20
Step-by-step explanation:
Given data
Family Video
charges $10 for a monthly membership and
$2.50 per movie
let the number of movies be x
and the charge for x movies be y
y= 10+2.5x----------1
Babe's Movies
charges a $12
membership and $2 per
movie.
let the number of movies be x
and the charge for x movies be y
y= 12+2x----------2
equate 1 and 2
10+2.5x= 12+2x
collect like terms
12-10= 2.5x-2x
2= 0.5x
x= 2/0.5
x= 4 movies
put x= 4 in equation 1 or 2
y= 12+2x----------2
y= 12+2*4
y= 12+8
y= $20
